Answer:
t = [tex]\frac{14}{5}[/tex]
Step-by-step explanation:
Parallel lines have equal slopes.
calculate the slope m of PQ and then equate the slope of AB to slope of PQ
calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = P (- 2, 4 ) and (x₂, y₂ ) = Q (4, - 1 )
[tex]m_{PQ}[/tex] = [tex]\frac{-1-4}{4-(-2)}[/tex] = [tex]\frac{-5}{4+2}[/tex] = - [tex]\frac{5}{6}[/tex]
now calculate slope of AB
with (x₁, y₁ ) = A (4, - 3 ) and (x₂, y₂ ) = B (t, - 2 )
[tex]m_{AB}[/tex] = [tex]\frac{-2-(-3)}{t-4}[/tex] = [tex]\frac{-2+3}{t-4}[/tex] = [tex]\frac{1}{t-4}[/tex]
equating the slopes gives
[tex]\frac{1}{t-4}[/tex] = - [tex]\frac{5}{6}[/tex] ( cross- multiply )
5(t - 4) = - 6
5t - 20 = - 6 ( add 20 to both sides )
5t = 14 ( divide both sides by 5 )
t = [tex]\frac{14}{5}[/tex]
Solve for x.
-2(x + 74) = -158.00
Answer:
Hi I'm always here to help!!!
___________________________
x = 5
___________________________
Have a great day!!!!!!!
Sort the fractions in order of size with the largest fraction at the top.
10/12 kg
2/3 kg
21/4 kg
13/4 kg
Answer:
21/4 is the biggest number hope it helps, God bless ya'll!
Step-by-step explanation:
Question 11 . 2 p Brent is considering buying a new circular track for his model train. He estimates that the model's circumference is about 3 times the measure of the circle's diameter. With this information, Brent could derive the value of OT O length O width area Previous Next > No new data to save. Last checked at 9:51am Submit
Brent estimates that the model's circumference is about 3 times the measure of the circle's diameter, with this, he can estimate the area.
What is a circle?A circle is the locus of a point, such that the distance from a fixed point (center) is always constant.
The circumference of a circle is given by:
Circumference = π * diameter
Brent estimates that the model's circumference is about 3 times the measure of the circle's diameter, with this, he can estimate the area.
Find out more on circle at: https://brainly.com/question/24375372
7. What is the length of SW?
Answer:
SW = 130
Step-by-step explanation:
[tex]2(2x+5)=5x-20[/tex]
This is what the equation should be because this is a rectangle.
[tex]4x+10=5x-20[/tex]
Once you finish simplifying, move the numbers and variables over to get this.
[tex]x=30[/tex]
Then do multiplication and addition to get 130.
Solve for X. Leave your answer in the simplest radical form.
Image down below!
Someone please help me with this, I’ll give you brainlist and points!
Answer:
√20 which can be written as 2√5
Find the final price of a $149 iPod with a 10% discount
and 5% sales tax.
Answer:
140.80
Step-by-step explanation:
Not completely sure if my answer is correct
Given the function h of x equals 3 times the square root of x, which statement is true about h(x)?
The function is decreasing on the interval (–∞, 0).
The function is increasing on the interval (–∞, 0).
The function is decreasing on the interval (0, ∞).
The function is
The true statement about h(x) is: The function is increasing on the interval [0, ∞).
Linear FunctionA linear function can be represented by a line. The standard form for this equation is: ax+b , for example, y=2x+7. Where:
a= the slope.If:
a> 0 , the function is increasing;
a< 0 , the function is decreasing;
b=the constant term that represents the y-intercept.
Domain and RangeThe domain of a function is the set of input values for which the function is real and defined. In other words, when you define the domain, you are indicating for which values x the function is real and defined.
While the domain is related to the values of x, the range is related to the possible values of y that the function can have.
You should convert the text of the question into a math expression.
[tex]h(x)=3*\sqrt{x}[/tex]
Like the coefficient a is greater than zero (a>0), the function is increasing.
The equation has a square root, so, the values of x can not present negative values. Therefore, x≥0. Consequently, the values of y (range) for this function will be greater than or equal to zero (y≥0). See the attached image.
The range is:
[tex]{Solution:}\:&\:f\left(x\right)\ge \:0\:\\Notation:}&\:[0,\:\infty \:)\end{bmatrix}[/tex]
Learn more about the range and the domain here:
brainly.com/question/10197594
which of the following is not a pythagorean triple
(5,12,13)
(8, 15 17)
(5, 8, 9)
(6, 8, 10)
Answer:
C. (5, 8, 9)
Step-by-step explanation:
Put the triples into the Pythagorean Theorem and see if they come out true.
a² + b² = c²
5² + 12² = 13²
25 + 144 = 169
169 = 169
5, 12, and 13 are a Pythagorean Triple.
a² + b² + c²
8² + 15² = 17²
64 + 225 = 289
289 = 289
8, 15, and 17 are a Pythagorean Triple.
a² + b² = c²
5² + 8² = 9²
25 + 64 = 81
89 ≠ 81
5, 8, and 9 are NOT a Pythagorean Triple.
a² + b² = c²
6² + 8² = 10²
36 + 64 = 100
100 = 100
6, 8, and 10 are a Pythagorean Triple.
The monthly rent for an 800 square foot office is $975. For an 1100 square foot office the rent is $1125 Write and solve a linear equation to find out the rent for a 1500 square foot office
How many solutions does the system of equations below have?
y = 8x - 7
y = 8x + 4/5
no solution
one solution
infinitely many solutions
Answer: No Solution
Step-by-step explanation:
To solve this system of equations, set the two equations equal to each other and get: 8x - 7 = 8x + 4/5.
However, notice that if you consolidate the x terms and subtract 8x, you get 0 - 7 = 4/5.
7 can never equal 4/5, so there is no solution :)
Mrs. smith has 5 times as many markers and colored pencils is 54.How many markers does mrs. smith have
Answer:
The answer is 270
Step-by-step explanation:
5×54=270
Which number of degrees is the measure of the angle? explain how you know.
Can you please show me what angle?
1 of 39 men is chosen at random. 27 men passed the test. 12 men failed. What is the probability that the man failed his test
Answer:
30.7%, 0.3, or 4/13
Step-by-step explanation:
The correct procedure for this problem is:
The number of men that passed the test and the number of men should be located as the numerator and denominator of the fractional number.12/39 is our fraction, which we can reduce to 4/13We can change it to a percent and a decimal, which would be 30.7% and 0.3.Help me plssss someone I've been stuck on this question for a while now ;(
Answer:
4000 meters
Step-by-step explanation:
Shortest run was 5 laps (2000 meters), and longest was 15 (6,000 meters)
Please assist. No links
Answer:
(B) is the answer of your question
Find the area of the rectangle.
Answer: 5.6ft²
Step-by-step explanation:
Area of a rectangle = length x width
= [tex]\frac{4}{5} ft[/tex] (7ft)
= [tex]\frac{28}{5}ft^{2}[/tex]
= 5.6ft²
Evaluate the quotient of 1.05 x 103and 1 x 103:
1.05 x 10 -6
1.05 x 10 9
1.05 x 10 6
1.05 x 10 0
Answer:
1.05 x 10^0.
Step-by-step explanation:
1.05 x 10^3 / 1 x 10^3
= 1.05/1 x 10^(3-3)
= 1.05 x 10^0
Two friends share a protein bar which weighs 7 ounces. Each friend eats the same amount of the protein bar. Between which two
whole numbers does the number of ounces of the protein bar that each friend eats lie?
HELP
Sorry but no speek English
Answer:
3 and 4
Step-by-step explanation:
3.5 ounces is 7/2 so if they eat the same amount they would both eat 3.5 ounces.
What is the value of w?
w
36°
Answer: you literally said it yourself. its 36°
Step-by-step explanation:
A straight line p through A(-2,1) and B(2,k) the line is perpendicular to a line 3y + 2x =5. Determine the value of k
Answer:
k = 7
Step-by-step explanation:
To solve this, first, you need to find the slope of the line. To do this, you can convert it into point-slope form.
3y = -2x + 5
y = - 2/3x + 5/3
The slope is -2/3, so the perpendicular slope in 3/2
You find the difference between the x - values (2 - -2 = 4), then multiply that by the slope (4 x 3/2 = 6) finally, you add that to the y value of point one.
1 + 6 = 7
HELP PLEASE! A survey asked 200 campers to choose their favorite activity. The results are displayed in this circle graph.
How many campers chose basketball as their favorite activity?
26 campers
36 campers
44 campers
58 campers
Answer:
44 campers chose basketball
What is the volume of a rectangular prism with a length of 7 centimeters, a width of 3 centimeters, and a height of 2 centimeters?
Enter your answer in the box.
V = cm³
Answer:
42cm³
Step-by-step explanation:
7*2*3=42
7*2=14
14*3=42
42
Pls help ill give 15 brainliest and 5 starts question is down below
Answer:
Area of right angle triangle is axb/2
3x4/2 = 6 sq. Cm
Area of parallelogram = bxh
20x21.5 = 430 in2
Answer:
Area of the triangle: 6 cm
Area of the parallelogram: 430 in²
Step-by-step explanation:
Area of a triangle formula is base * height * 1/2, in this case 4 * 3 * 1/2, which equals 6.
Area of a parallelogram formula is base * height, in this case 21.5 * 20 which equals 430.
Sonia uses a 20% off coupon when she order from Uber eats original price of the order is $50 how much money does Sonya save
Answer:
she saves $40
Step-by-step explanation:
first of all, you find 20% of $50, that is,
(20/100) * $50
then you get: $10
next step is to subtract this answer from the $50, that is: $50 - $10 = $40
have a great day!!
We get the amount of price removed as a result of free coupon as below:
[tex] \frac{20}{100 } \times 50 = \frac{1000}{100} = 10 \\ coupon = 10dollars[/tex]
Therefore, Sonya saved $10
solve pls brainliest
Answer: 200 students gave their speeches.
Explanation;
240 ÷ 6 = 40
40 x 5 = 200
can someone explain this to me thank u :)
Answer:
1/4
Step-by-step explanation:
It is really weird that this answer is not on there but here is my explanation.
We can consider this question in two different ways.
First, we could list the possible outcomes.
HHH
HHT
HTH
HTT
THH
THT
TTH
TTT
In total 8 possibilities, 2 of which are either all heads or all tails. So the probability is 2/8 which is 1/4.
Alternatively, we could look at each of the three independent events in turn.
We toss the first coin. We don’t mind whether it lands head or tail, but we need to note the result. The probability of getting any result is 1.
We toss the second coin and there is a probability of 1/2 that the result matches the first toss.
We now toss the third coin and again there is a probability of 1/2 that the result matches the first toss.
So the probability of getting all heads or all tails is the probability of getting any result from the first toss (1) multiplied by the probability of a matching result for the second toss (1/2) multiplied by the probability of a matching result for the third toss (1/2).
So that’s 1 * (1/2) * (1/2), which is 1/4.
Multiplying Polynomials
Let's see
Area
[tex]\\ \rm\rightarrowtail \dfrac{1}{2}\times Base\times Height [/tex]
[tex]\\ \rm\rightarrowtail \dfrac{1}{2}(6xy^5)(4x^2y)[/tex]
[tex]\\ \rm\rightarrowtail 3xy^5(4x^2y)[/tex]
[tex]\\ \rm\rightarrowtail 12x^3y^6[/tex]
[tex]\text{Area of triangle} = \dfrac 12 \times \text{Height} \times \text{Base} \\\\~~~~~~~~~~~~~~~~~~~~~~=\dfrac 12 \cdot 6xy^5\cdot 4x^2y\\\\~~~~~~~~~~~~~~~~~~~~~~=12x^3y^6 ~ \text{units}^2[/tex]
How do u find an area of a cuboid?
Answer:
To find the surface area of a cuboid, add the areas of all 6 faces.
You and your friend buy a bag of assorted fruit that contains 3 apples, 5 oranges, and 2 bananas. You each randomly choose a piece of fruit and eat it. What is the probability you both will get a banana?
5. A ball is thrown into the air. It went 14 inches into the air is represented by the equation
h = -14t2 + 28t, where h represent the height and t represents the time. Determine when
the ball is thrown and how long it takes to hit the ground?
By defining that h(t) = 0 means that the ball is in the ground, we conclude that the ball is thrown at t = 0, and hits the ground again at t = 2.
When the ball is thrown?The height equation is:
h(t) = -14*t^2 + 28*t
When t = 0, we have: h(0) = 0
So it is in the ground, meaning that it is thrown at the time t = 0.
How long does it take to hit the ground?We need to find the other root of the quadratic equation, so we need to solve:
-14*t^2 + 28*t = 0
We can rewrite this as:
t*(-14*t + 28) = 0
The parenthesis is zero when:
-14*t + 28 = 0
t = 28/14 = 2
So at t = 2, the ball hits the ground.
If you want to learn more about quadratic equations, you can read:
https://brainly.com/question/1214333