Answers
Given is the parabola opening down.
It increases up to vertex and then decreases in value.
The vertex is at (3, 4) so the intervals are:
Increase: ( - ∞, 3],Decrease: [3, ∞).Answer:
Increasing: (-∞, 3)
Decreasing: (3, ∞)
Step-by-step explanation:
A function is increasing when the slope is positive (y gets bigger as x gets bigger).
A function is decreasing when the slope is negative (y gets smaller as x gets bigger).
From inspection of the given parabola, the turning point is (3, 4).
The function is increasing as the curve approaches the turning point.
The function is decreasing as the curve approaches infinity after the turning point.
Therefore, the intervals where the function is increasing and decreasing are:
Increasing: (-∞, 3)Decreasing: (3, ∞)Note: x = 3 is not included in the intervals, as the curve is not increasing or decreasing when x = 3. There is a turning point (stationary point) at x = 3 which means the slope is zero as this point. Therefore, the function is not increasing or decreasing when x = 3.
Related Questions
please help me 5 Points
Answers
a. Area of A = 20 ft²
Area of B = 16 ft²
Area of C = 12 ft²
Area of A = 24 ft²
b. The surface area of the triangular prism = 96 ft².
How to Find the Surface Area of a Right Triangular Prism?The surface area of the triangular prism given in the diagram = area of A + B + C + D.
a.
Area of A (rectangle) = (length)(width) = (10)(2) = 20 ft²
Area of B (rectangle) = (length)(width) = (8)(2) = 16 ft²
Area of C (rectangle) = (length)(width) = (6)(2) = 12 ft²
Area of A (rectangle) = 1/2(base)(height) = 1/2(6)(8) = 24 ft²
b. The surface area of the triangular prism = 20 + 16 + 12 + 2(24) = 96 ft².
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.
An ant is standing at the centers of a perfectly circular plate. If the ant crawled in a straight line, he would have to crawl 6 inches to reach the edge of the plate. How many inches would he crawl if he crawled a full circle around the edge of the plate?
Answers
The length around the circular edge of the plate is 37.68 inches
How to find the circumference of a circle?The circumference of a circle can be solved as follows:
The ant is standing at the centre of a perfectly circular plate and it walks to the edge of the plate .
The centre of the plate to the edges is 6 inches. Therefore, the radius of the circular plate is 6 inches.
Hence, the distance around the edge of the plate is the circumference of the plate.
Therefore,
circumference of the circular plate = 2πr
circumference of the circular plate = 2 × π × 6
circumference of the circular plate = 12π
circumference of the circular plate = 12 × 3.14
circumference of the circular plate = 37.68 inches
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What is the perimeter of the contest area on the judo mat?
(please be quick)
Answers
The perimeter of the contest area on the judo mat will be 32 meters.
What is the perimeter of the square?For a square with a side length of a unit, we get:
Perimeter of the square = 4a unit
The side length of square is 8 m.
Then the perimeter of the contest area on the judo mat will be
P = 4 x 8
P = 32 m
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PLEASE HEPP IM STUCK
Answers
Answer:
m = -4
Step-by-step explanation:
We are given that a line intersects the points (-2, 9) and (3, -11).
We want to write the slope of this line.
The slope (m) can be found using the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points.
Even though we have everything we need to calculate the slope, let's label the values of the points to avoid any confusion & mistakes.
[tex]x_1=-2\\y_1=9\\x_2=3\\y_2=-11[/tex]
Now substitute these values into the formula (remember that the formula has subtraction).
m= [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m=[tex]\frac{-11-9}{3--2}[/tex]
Simplify.
m=[tex]\frac{-11-9}{3+2}[/tex]
Subtract the values on top.
m=[tex]\frac{-20}{3+2}[/tex]
Now add the values on the bottom together.
m=[tex]\frac{-20}{5}[/tex]
Now divide -20 by 5.
m = -4
PLS HELP ASAP!!!
Enter the correct answer in the box. Write your answer in the form y=mx+b, using the appropriate inequality symbol in place of the equal sign.
What inequity is show in the graph??
Answers
Answer:
y>4x+1
Step-by-step explanation:
We got two simple steps for this question:
1.Find the equation(y=mx+b):
I want to test these two points on my formula:
(0, 1), (–1, –3)
[tex]m = \frac{y2 - y1}{x2 - x1} = \frac{1 - ( - 3)}{0 - ( - 1)} = \frac{4}{1} = 4[/tex]
so we just calculated our m and now it time for b
[tex]y = 4x + b = = = > 1 = 4(0) + b = = = > b = 1[/tex]
So your criterion is y=4x+1
2.
we are looking for ys greater than xs so your answer is gonna be y>4x+1
If a hypothesis is tested at the α=0.05 level of significance, what is the probability of making a type i error?
Answers
The probability of making a type i error is also α = 0.05 or 5% of error.
For the given question,
A Type I error occurs when a significance test results in the rejection of a true null hypothesis. By one common convention, if the probability value is below 0.05, then the null hypothesis is rejected.
The null hypothesis assumes no cause and effect relationship between the tested item and the stimuli applied during the test. The probability of making a type I error is represented by the alpha level (α), which is the p-value below which you reject the null hypothesis.
Thus, If a hypothesis is tested at the α=0.05 level of significance, then the probability of making a type i error is also α=0.05 or 5% of error.
Hence we can conclude that the probability of making a type i error is also α = 0.05 or 5% of error.
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The function f(x) = is translated left 5 units and up 3 units to create the function g(x). what is the domain of g(x)? {x | x > –5} {x | x > –3} {x | x > 3} {x | x > 5}
Answers
Answer:
{x | x > –5}
{x | x > –3}
{x | x > 3}
{x | x > 5}
Step-by-step explanation:
quadratic formula. pls help
Answers
Answer:
[tex]x=-1,\frac{5}{7}[/tex]
Step-by-step explanation:
1) Split the second term in [tex]7{x}^{2}+2x-5[/tex] into two terms.
1 - Multiply the coefficient of the first term by the constant term.
[tex]7\times -5=-35[/tex]
2 - Ask: Which two numbers add up to 2 and multiply to -35?
7 and -5.
3 - Split 2x as the sum of 7x and -5x.
[tex]7x^2+7x-5x-5[/tex]
2) Factor out common terms in the first two terms, then in the last two terms.
[tex]7x(x+1)-5(x+1)=0[/tex]
3) Factor out the common term x+1.
[tex](x+1)(7x-5)=0[/tex]
4) Solve for x.
1 - Ask: When will (x+1)(7x-5) equal zero?
When x + 1 0 or 7x-5=0
2 - Solve each of the 2 equations above.
[tex]x=-1,\frac{5}{7}[/tex]
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textbf{What are the quadratic formulas?}[/tex]
[tex]\bullet\rm{\ \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}}[/tex]
[tex]\bullet\rm{\ ax^2 + bx + c = 0}[/tex]
[tex]\huge\textbf{What are we solving for?}[/tex]
[tex]\rm{7x^2 + 2x - 5 = 0}[/tex]
[tex]\huge\textbf{What do we have to do?}[/tex]
[tex]\rm{7x^2 + 2x - 5 = 0}[/tex]
[tex]\huge\textbf{Factor the LEFT side of the given}\\\\\huge\textbf{equation:}[/tex]
[tex]\rm{(7x - 5)(x + 1) = 0}[/tex]
[tex]\rm{(7x - 5) \times (x + 1) = 0}[/tex]
[tex]\huge\textbf{Set 0 to the factors:}[/tex]
[tex]\rm{7x - 5 = 0\ or\ x + 1 = 0}[/tex]
[tex]\huge\textbf{Simplify it:}[/tex]
[tex]\rm{x = \dfrac{5}{7}\ or\ x = -1}[/tex]
[tex]\huge\textbf{Therefore, your answer should be:}[/tex]
[tex]\huge\boxed{\frak{\mathsf x = \dfrac{5}{7}\ or\ \mathsf{x} = -1}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Jeanette needed a large number of responses for her survey about taste preferences so she chose to do an internet survey. A significant problem she may have is _____
Answers
A significant problem is her sample will not be representative for her survey when she needed a large number of responses for her survey about taste preferences so she chose to do an internet survey.
what is internet survey ?
An Internet survey is a structured questionnaire that your target audience fills out over the internet, typically by filling out a form. The length and format of online surveys can vary. The data is saved in a database, and the survey tool usually includes some level of data analysis in addition to review by a trained expert.
Survey Advantages:
Unlike traditional surveys, internet surveys allow businesses to collect information from a large number of people at a low cost. When you conduct an internet survey, you will have the opportunity to learn:
Who are your customers?
What your users want to achieve?
What information are your users looking for?
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find a linear and an exponential equation that matches f(2)=12 and f(4)=48
Answers
The exponential equation that matches the coordinate is 3(2)^x while the linear equation is y = 6x
Exponential equationThe standard exponential equation is expressed as y= ab^x
where
a is the base
x is the exponent
Given the coordinates (2, 12) and (4, 48)
12 = ab^2
48 = ab^4
Find the ratio
4 = b^2
b = 2
Sice ab^2 = 12
4a = 12
a = 3
The exponential equation that matches the coordinate is 3(2)^x
For the linear equation
The standard form is y = mx + b
m is the slope = 48-12/4-2
Slope = 12/2
Slope = 6
For the y-intercept
12 = 6(2) + b
b = 0
Hence the required linear equation is. y = 6x
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Pollsters are concerned about declining levels of cooperation among persons contacted in surveys. A pollster contacts 90 people in the 18-21 age bracket and finds that 76 of them respond and 14 refuse to respond. When 263 people in the 22-29 age bracket are contacted, 240 respond and 23 refuse to respond. Assume that 1 of the 353 people is randomly selected. Find the probability of getting someone in the 22-29 age bracket or someone who agreed to respond.
Answers
The probability of getting someone in the 22-29 age bracket or someone who agreed to respond is 0.96.
What is probability?The rate of possible outcomes to the total outcomes is said to be the probability.
P(E) = n(E)/n(S)
E - event and S -sample space
we have,
P(A or B) = P(A) + P(B) - P(A and B)
Calculation:It is given that,
Pollsters are concerned about declining levels of cooperation among persons contacted in surveys.
The data is listed below:
(Age group) Response - agreed Response - refused Total
18-21 76 14 90
22-29 240 23 263
Total 316 37 353
So, consider the required events
Age group (22-29) as A and someone who agreed to respond as B
Thus, the probabilities are calculated as below:
P(A) = n(A)/n(S) = 263/353
P(B) = n(B)/n(S) = 316/353
P(A and B) = n(A and B)/n(S) = 240/353
Substituting all these in the formula we get,
P(A or B) = P(A) + P(B) - P(A and B)
= 263/353 + 316/353 - 240/353
= 339/353
= 0.96
Therefore, the required probability is 0.96.
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A red team, blue team and green team were playing a game. The 3 people on the red team each lost 15 points. The 6 people on the blue team each gained 14 points. The 5 people on the green team each lost 11 points.
1. What is the total gain/loss for each team? Write your answer as a integer.
Team red:
Team blue:
Team green:
2. The twist in this game is that you need to multiply your final score by -6. Who won the game and what was their final score? The team with the greatest integer wins.
Team————wins with———-points.
Answers
Team red: 3(-15) =-45 (Loss)
Team blue: 6(14) =84 (Gain)
Team Green: 5(-11) =-55 (Loss)
2.
Team red: 3(-15)(-6) =270 points
Team blue: 6(14)(-6) =-504 points
Team Green: 5(-11)(-6) =330 points
Team Green wins with 330 points.
Hope it helps : )
Assuming a level of significance of 0.01, is there sufficient evidence to show that the manufacturer needs to recalibrate the machines
Answers
Answer: Yes, there is
Step-by-step explanation:
What is the sum of the lengths, in centimeters, of the two legs of a 30-60-90 right triangle, if the length of the hypotenuse is $2\sqrt{6}$ centimeters
Answers
The sum of the lengths of two legs of the 30°-60°-90° right triangle is 6.69 centimeters. Using the ratio of sides for the 30°-60°-90° triangle, the sum is calculated.
What is the ratio of sides for the 30°-60°-90° triangle?The ratio for the 30°-60°-90° triangle is 1:√3:2 or x:x√3:2x
where x corresponds to the length opposite the 30° angle and x√3 is opposite of the 60° angle and 2x is opposite to the 90° angle.
Calculation:It is given that the triangle is a right triangle with angles 30°-60°-90°
For such a triangle, the ratio of side lengths is x: x[tex]\sqrt{3}[/tex]:2x
we have the length of the hypotenuse is [tex]2\sqrt{6}[/tex]
So, 2x = [tex]2\sqrt{6}[/tex]
⇒ x = [tex]\sqrt{6}[/tex]
So,
the other length of the other leg is x√3 = √6 × √3 = 3 √2
Then, the sum of these two legs = √6 + 3√2 = 6.69 centimeters.
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multiplicacion 5(3x-2)
Answers
Answer: 15x-2
Step-by-step explanation: ?
Answer:
15x - 10
Step-by-step explanation:
[tex]5(3x-2)=5(3x)+5(-2)=15x-10[/tex]
Hope this helps
look at the image for any information and the question thank you
Answers
The measure of angle CKB (m ∠CKB) is 144°
Calculating anglesFrom the question, we are to determine the measure of angle CKB (m ∠CKB)
First, we will determine the value of x
From the given information,
m ∠KAE = 3x
m ∠KCD = 2x
In the diagram,
m ∠KCD = m ∠AKE (Alternate angles)
∴ m ∠AKE = 2x
Also,
m ∠KAE + m ∠AKE + m ∠AEK = 180° (Sum of angles in a triangle)
3x + 2x + 90° = 180°
5x = 180° - 90°
5x = 90°
x = 90°/5
x = 18°
But,
m ∠CKB = 180° - m ∠AKE (Sum of angles on a line segment)
m ∠CKB = 180° - 2x
m ∠CKB = 180° - 2(18°)
m ∠CKB = 180° - 36°
m ∠CKB = 144°
Hence, the measure of angle CKB (m ∠CKB) is 144°
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NEED HELP ASAP PLEASEE!!!!!!!!!
QUESTION #1
The decimal number 6.05 can be read as "six and five-hundredths."
True
False
QUESTION #2
The decimal number 11.8 can be read as "eleven and eight tens."
True
False
Answers
The statement 6.05 can be read as "six and five-hundredths" is true and 11.8 can be read as "eleven and eight tens" is false
Place value6.05
6 = ones
0 = tenths
5 = Hundredth
6.05 = six and five-hundredths
11.8
1 = Tens
1 = Ones
8 = tenths
11.8 = eleven and eight tenths
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A distribution of probabilities for random outcomes of a bivariate or dichotomous random variable is called a Group of answer choices binomial probability distribution distribution of expected values random variable distribution mathematical expectation
Answers
A distribution of probabilities for random outcomes of bivariate or dichotomous random variables is called (A) binomial probability distribution.
What is a binomial probability distribution?The binomial distribution with parameters n and p in probability theory and statistics is the discrete probability distribution of the number of successes in a succession of n separate experiments, each asking a yes-no question and each with its own Boolean-valued outcome: success or failure.The binomial distribution is widely used to describe the number of successes in a sample of size n selected from a population of size N with replacement. If the sampling is done without replacement, the draws are not independent, and the resulting distribution is hypergeometric rather than binomial. Binomial probability distribution refers to a distribution of probabilities for random outcomes of bivariate or dichotomous random variables.As the description itself says, binomial probability distribution refers to a distribution of probabilities for random outcomes of bivariate or dichotomous random variables.
Therefore, a distribution of probabilities for random outcomes of bivariate or dichotomous random variables is called (A) binomial probability distribution.
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Complete question:
A distribution of probabilities for random outcomes of bivariate or dichotomous random variables is called a ______.
Group of answer choices
(A) binomial probability distribution
(B) distribution of expected values
(C) random variable distribution
(D) mathematical expectation
.- An employee at the local ice cream parlor asks three customers if they like chocolate ice cream. Identify the sample and the population. (circle the letter that is your answer
Answers
Sample is the 3 selected customers; And population is all customers
According to the statement
we have given that a shopkeeper asks 3 customers to taste the chocolate icecream.
And we have to identify the sample and population.
So, A definition of sample is that a
A sample is an outcome of a random experiment. When we sample a random variable, we obtain one specific value out of the set of its possible values. That particular value is called a sample.
And a Population is defines as the is a discrete group of people, animals or things that can be identified by at least one common characteristic for the purposes of data collection and analysis.
So, according to definition Sample is the 3 selected customers; And population is all customers.
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What is the value of the expression below when w= 5 and x =9
Answers
The value of the expression 9w + 5x when w= 5 and x =9 is 90
Algebraic expression9w + 5x
When
w = 5 and x = 9
9w + 5x
= 9(5) + 5(9)
= 45 + 45
= 90
Complete question:
What is the value of the expression below when w = 5 and x = 9? 9w + 5x
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Solving equations with fractions- how do i solve this
Answers
Answer:
23/75
Step-by-step explanation:
8/15 + x = 21/25
x = 21/25 - 8/15
now we need to bring both fractions to the same denominator (bottom part), so that we can do the subtraction.
what is the least common multiple (LCM) of 25 and 15 ? that will be the common denominator.
I usually use the prime factor factorization of the involved numbers.
15 : 3, 5 (15 = 3×5, there are no smaller prime factors)
25 : 5, 5 (25 = 5×5, there are no smaller prime factors)
the LCM is the combination of the longest chains of each prime factor :
3×5×5 = 75
so, we bring both fractions to 75 denominators.
how many 1/75th are 1/25 ? as 25×3 = 75, we have 3/3 × 1/25 = 3/75 (= 1/25).
so,
21/25 = 21×3/75 = 63/75
how many 1/75th are 1/15 ? as 15×5 = 75, we have 5/5 × 1/15 = 5/75 (= 1/15).
so,
8/15 = 8×5/75 = 40/75
remember, we have to multiply the numerator and the denominator by the same value to keep the original value of the fraction unchanged.
and now our equation looks like
x = 63/75 - 40/75 = 23/75
Tony types at a rate of 30 words per minute. how many words does he type in 3 minutes?
Answers
Answer:
He can type 90 words in 3 minutes.
Step-by-step explanation:
We know how many words he can type per minute already. So now, to find how many words he can type in 30 minutes, simply multiply 3 by 30.
[tex]3 \times 30=90[/tex]
So 90 is our answer.
What values of a and b make the equation true? startroot 648 endroot = startroot 2 superscript a baseline times 3 superscript b baseline endroot
Answers
The values of a and b which make the equation true are; a = 3 and b = 4 respectively.
What are indices in maths?An index, or a power, is the small floating number that goes next to a number or letter. The plural of index is indices. Indices show how many times a number or letter has been multiplied by itself.From the question; the expression given is;
[tex]\sqrt{648} = \sqrt{2^{a} * 3^{b} }[/tex]
In essence; we have;
648 = 2^a × 3^b
By expression of of 648 as the product of its lowest factors; we have;
648 = 2 × 2 × 2 × 3 × 3 × 3 × 3.
In which case; we have;
648 = 2³ × 3⁴
Ultimately, the values of a and b which make the equation true are 3 and 4 respectively.
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The complete question is -
What values of a and b make the equation true? StartRoot 648 EndRoot = StartRoot 2 Superscript a Baseline times 3 Superscript b Baseline EndRoot a = 3, b = 2 a = 2, b = 3 a = 3, b = 4 a = 4, b = 3
WILL MAKE BRAINLIEST!! What will the coordinates of triangle are RST after it is translated four units right and three units up type your answer in as a coordinate pair X, Y for each point enter your answer and also provide a one sentence explanation that describes how are you determine your answer review the Rubik be slow to see how you will be evaluated?
Answers
The coordinates of triangle RST after it is translated four units right and three units up are (0, 5), (7, 8) and (0, -1)
How to determine the coordinates?From the figure, the coordinates of the triangle RST are:
R = (-4, 2)
S = (3, 5)
T = (-4, -4)
The rule of translation is given as:
Four units rightThree units upThis is represented as:
(x, y) = (x + 4, y + 3)
So, we have:
R' = (-4 + 4, 2 + 3) = (0, 5)
S' = (3 + 4, 5 + 3) = (7, 8)
T = (-4 + 4, -4 + 3) = (0, -1)
Hence, the coordinates of triangle RST after it is translated four units right and three units up are (0, 5), (7, 8) and (0, -1)
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Hey I appreciate the help thank you
Answers
Answer:
60 degrees
Step-by-step explanation:
The sum of the interior angles of a triangle are 180. The bottom triangle give you two of the angle measurements (43 and 35) Take 180 - 43 -35 = 102. Angle E is 102. Vertical angles are congruent so that mean that we can use that to find angle a. Again, the sum of the interior angles adds up to 180. 180 - 102 - 18 gives us the measurement of angle a (60)
Can someone help me please
Answers
Answer:
D. (4,0) and (-4,0)
C. there is one discontinuity at x=3
Step-by-step explanation:
Roots can be found by setting f(x)=0:
f(x)=(x^2-16)/(x^2-2x-3)
0=(x^2-16)/(x^2-2x-3), multiply both sides by x^2-2x-3 to get rid of the denominator
0=x^2-16, use difference of squares to factor it
0=(x+4)(x-4)
x=4,-4
Therefore the roots are (4,0) and (-4,0)
Discontinuities are when f(x) is undefined, and f(x) is undefined when something is divided by 0
Set the denominator equal to 0:
0=x^2-6x+9, use the form a^2 - 2ab + b^2 to factor
0=(x-3)^2
x=3
Therefore, there is a discontinuity at x=3
Wayne borrowed sh. 50,000 from a
bank that charged compound interest
at the rate of 12% p.a. How much did
she pay back at the end of 30 months?
Answers
Answer:15000
Step-by-step explanation:50,000 x 0.12=6,000 X 2=12,000
6000 divided by 2= 3,000
12 + 12=24+6=30
Simplify. Show work.
3² x 5 + 4 =
Answers
Answer:
49
Step-by-step explanation:
[tex]3^{2} *5+4[/tex]
= [tex]9*5+4[/tex] Simplify the exponents.
= [tex]45+4[/tex] Multiplication.
= 49 Addition.
Answer:
49
Step-by-step explanation:
1. Whenever there is an exponent, we solve that first. 3^2 is 9.
2. In an equation, multiplication, and division is first, and since there is no division in the equation, we do the multiplication first. 9 x 5 is 45.
3. We finish by adding 4 to 45, which is 49.
please help em
A (1,2), B(3,8) and C(7,4) are the corners of a triangle. Draw this triangle on a grid.
Answers
The triangle drawn on a grid is in the image attached and the complete procedure for the construction of the triangle is summarized in the explanation.
How to draw a triangle on a Cartesian plane
In this question we are asked to draw a triangle on a Cartesian plane. The procedure is summarized below:
Mark the points of the vertex on the plane with respect to the origin.Connect each pair of points by drawing straight line segments.Lastly, we present the result of this method in the image attached below.
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On a coordinate plane, square P Q R S is shown. It has points (0, 4), (4, 4), (0, 0), and (4, 0).
Prove the diagonals of the square with vertices P(0, 4), Q(4, 4), R(0, 0), and S(4, 0) are perpendicular bisectors of each other.
Step 1: Calculate the slope of the diagonals.
The slope of diagonal PS is
.
The slope of diagonal QR is
.
Step 2: Calculate the midpoint of the diagonals.
The midpoint of PS is
.
The midpoint of QR is
.
The diagonals of the square are perpendicular bisectors because the diagonals are
.
Answers
The slope of diagonal PS is -1 and the slope of diagonal QR is 1 based on the information about the coordinate plane.
How to illustrate the information?Step 1: Calculate the slope of the diagonals.
The slope of diagonal PS is -1
The slope of diagonal QR is 1
Step 2: Calculate the midpoint of the diagonals.
The midpoint of PS is (2,2)
The midpoint of QR is (2,2)
The diagonals of the square are perpendicular bisectors because the diagonals are perpendicular and share the same midpoint
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Answer:
1. The slope of diagonal PS is -1.
2. The slope of diagonal QR is 1.
3. The midpoint of PS is (2,2).
4. The midpoint of QR is (2,2).
5. The diagonals of the square are perpendicular bisectors because the diagonals are perpendicular and share the same midpoint.
Step-by-step explanation: I just did it on edge 2023. Hope this helps!