Answer:
35.7Step-by-step explanation:
Step one
Given the coordinates
ABCD with vertices A(−4, 2), B(8,2), C(11, 7), and D(-1, 7).
AB=(−4, 2), (8,2)
BC=(8,2), (11, 7)
CD=(11, 7),(-1, 7)
DA=(-1, 7),(-4,2)
The distance between points AB=
[tex]AB= \sqrt (x_2-x_1)^2+(y_2-y_1)^2[/tex]
[tex]AB= \sqrt (8+4)^2+(2-2)^2\\\\AB= \sqrt 12^2+(0)^2\\\\AB= \sqrt144\\\\AB=12[/tex]
The distance between points BC=
[tex]BC= \sqrt (11-8)^2+(7-2)^2\\\\BC= \sqrt 3^2+(5)^2\\\\BC= \sqrt34\\\\BC=5.8[/tex]
The distance between points CD
[tex]CD= \sqrt (-1-11)^2+(7-7)^2\\\\CD= \sqrt -12^2+(0)^2\\\\CD= \sqrt144\\\\CD=12[/tex]
The distance between points DA
[tex]DA= \sqrt (-4+1)^2+(2-7)^2\\\\DA= \sqrt -3^2+(-5)^2\\\\DA= \sqrt34\\\\DA=5.8[/tex]
Hence the perimeter of the footpath= 12+5.8+12+5.8
=35.7
Can someone explain slope intercept form as simple as possible? Formula: y=mx+b
Ok y is your y value from any point on the graph m is your slope x is the x value of any point from the graph and b is your y intercept that is where the line cross in the y line that is the vertical line in the graph
Answer:
As simple as possible, it's a form of linear equations.
Step-by-step explanation:
The formula, y = mx + b, can be dissected to get the slope and y-intercept of a linear equation where:
m = slope
b = y-intercept
(x and y can be substituted for any point)
If you have any more questions, feel free to ask. Hope this helps!
How many groups of 1/2 days are in 1 week? Write a multiplication equation or a division equation to represent the question, then answer the question. *
Answer:
14 groups
Step-by-step explanation:
Given
[tex]Groupings = \frac{1}{2}\ day[/tex]
[tex]Duration = 1\ week[/tex]
Required
Determine the number of group in the week
To do this, we simply divide the duration by the number half day group.
This gives:
[tex]Group = \frac{Duration}{Groupings}[/tex]
[tex]Group = \frac{1\ week}{1/2\ days}[/tex]
Convert week to days
[tex]Group = \frac{7\ days}{1/2\ days}[/tex]
[tex]Group = \frac{7}{1/2}[/tex]
[tex]Group = 7 / \frac{1}{2}[/tex]
Convert to multiplication
[tex]Group = 7 * \frac{2}{1}[/tex]
[tex]Group = \frac{14}{1}[/tex]
[tex]Group = 14[/tex]
Hence, there are 14 groups
Find the area of a circle with radius = 12cm give your answer rounded to 3SF
Answer:
452.4
Step-by-step explanation:
area is given by πradius squared which gives answer as 452.389
Answer:
452.39 because you have to take the radius squared times pie or 3.14 to get the area so your answer would be 452.39
Step-by-step explanation:
Hope it helps
Anthony is rowing a boat upstream the following equation models his speed f(x)=3x^2-6x-13
Step-by-step explanation:
Discriminant of quadratic equation ( ax² + bx + c = 0 ) could be calculated by using :
D = b² - 4 a c
From the value of Discriminant , we know how many solutions the equation has by condition :
D < 0 → No Real Roots
D = 0 → One Real Root
D > 0 → Two Real Roots
An axis of symmetry of quadratic equation y = ax² + bx + c is :
Let us now tackle the problem!
Given:
f(x) = 3x² - 6x - 13
Asked:
Domain = ?
Solution:
Velocity is a vector quantity.
Vector quantity has magnitude and direction.
Directon of vector is represented by the sign of the quantity
If x is the velocity of the boat relative to land , then:
The value of x could be positive , negative or zero.
Answer:
Anthony is rowing a boat upstream. The following equation models his speed: f(x) = 3x2 − 6x − 13, where x is the velocity of the boat relative to land. What is the domain of the function?
All real numbers
x ≥ 1
x ≤ −6
x ≥ −13
Step-by-step explanation:
it is a
Dantes Soccer Team Sells T-Shirts To raise money for new equipment. For Each T-shirt sold the team raises $8. Parents Also make a donation of $100 toward the equipment.
What is The equation That the total amount raised y , if x T-shirts are sold?
A. y= 8x
B. Y=12.5x
C. y= 100x + 12.5
D. y= 8x + 100
Answer:
It would be D
Step-by-step explanation:
PLEASE HELP FAST!! WILL MARK AS BRAINLIEST IF GIVEN GOID ANSWER....
Answer:
x = 36
y = 37.95
Step-by-step explanation:
By geometric mean property:
[tex] {12}^{2} = 4 \times x \\ \\ 144 = 4 \times x \\ \\ x = \frac{144}{4} \\ \\ x = 36 \\ \\ [/tex]
By Pythagoras Theorem:
[tex] {y}^{2} = {12}^{2} + {x}^{2} \\ \\ {y}^{2} = {12}^{2} + {36}^{2} \\ \\ {y}^{2} = 144 + 1296 \\ \\ {y}^{2} = 1440 \\ \\ y = \sqrt{1440} \\ \\ y = 37.95[/tex]
Does anyone know what to change to make line “p” and “q” parallel?
Using interval notation, the domain off is [- 3, 5] and the domain of g is [- 2, 7] . On what domain is f defined
Note: I am assuming you mean ''on what domain is f+g is defined''.
Answer:
We conclude that
Dom(f+g) = [-2, 5]Step-by-step explanation:
Given the domain of f
[-3, 5]
Given the domain of g
[-2, 7]
The domain of a composition f+g would include the intersection of both domains.In other words, the domain of a composition f+g includes all the inputs of x-values that are in the domain of both functions i.e. f and g.
so
Domain of f = [-3, 5]
The x-values lie in the domain of f interval are:
x = -3, -2, 1, 0, 1, 2, 3, 4, 5
Domain of g = [-2, 7]
The x-values lie in the domain of g interval are:
x = -2, 1, 0, 1, 2, 3, 4, 5, 6, 7
Therefore, the common x-values in both f and g would be:
-2, 1, 0, 1, 2, 3, 4, 5
Thus, we conclude that
Dom(f+g) = [-2, 5]6th grade math i mark as brainliest
Answer:
dividend is 30
divisor is 6
Step-by-step explanation:
Evaluate |3x-2y|+5
if x=-3 and y=2
Answers:
-8
-2
18
-13
Answer:
18
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
|Absolute Value| makes any negative number positiveStep-by-step explanation:
Step 1: Define
|3x - 2y| + 5
x = -3
y = 2
Step 2: Evaluate
Substitute: |3(-3) - 2(2)| + 5Multiply: |-9 - 4| + 5Subtract: |-13| + 5Evaluate: 13 + 5Add: 18Answer:18
Step-by-step explanation:
|3x-2y|+5
|3(-3)-2(2)|+5
|-9-4|+5
|-13|+5
13 + 5
18
PLEASE HELP ME!! THIS IS A MATH TEST!! PLEASE HELP!!
Person A buys 6 granola bars and 4 cups of yogurt for $10.50. Person B buys 4 granola bars and 8 cups of yogurt for $11. Find the cost of each item.
Granola Bar costs:
a cup of yogurt costs:
PLEASE AND THANK YOUUU!!!!!!
the granola bar costs $1.50
the yogurt costs 50 cents = $0.50
Convert 9.63x10^-3 into Standard form ASAP!
Answer:
= .00963
Step-by-step explanation:
Move the decimal 3 places to the left.
= .00963
Solve the equation by completing the square.
2x^2+20x-63=3
Line L is shown in the coordinate plane. a. What are the coordinates of points and ? b. Is the point (16,20) on line L ? Explain how you know. c. Is the point (20,24) on line L? Explain how you know. d. Is the point (80,100) on line L? Explain how you know. e. Write a rule that would allow you to test whether (, ) is on line L.
Answer:
so its will be the equal number
Step-by-step explanation:
pls dont get mad if I'm wrong I tried :)
What is the equation of a line with a slope of -2 which goes through the point (3, -1)?
Answer:
Step-by-step explanation:
y+1 = -2(x-3)
y = -2x + 6 - 1
y = -2x + 5
The measures of the angles of a triangle are shown in the figure below. Solve
for x.
Answer:
[tex]x = 46[/tex]
Step-by-step explanation:
Given
The three angles in the triangle are: x, 34 and 100
Required
Determine the value of x
Angles in a triangle add up to 180.
So, we have:
[tex]x + 34 + 100 = 180[/tex]
[tex]x + 134 = 180[/tex]
Subtract 134 from both sides
[tex]x + 134 - 134 = 180 - 134[/tex]
[tex]x = 180 - 134[/tex]
[tex]x = 46[/tex]
Hence, the measure of x is 46
solve for x
3(x - 2) = 6x - 12
Answer:
The answer is 2
Step-by-step explanation:
Here's how I got it:
3(x - 2) = 6x - 12
Multiply 3 times x and 3 times 2, this is what you would get
3x - 6 = 6x - 12
Then, subtract the lowest x with the bigger X, this way you would have x on one side:
3x - 6 = 6x - 12
-3x -3x
This is what you should have after this:
-6 = 3x - 12
Now, to get the variable (letter that represents a number) by itself, you have to add 12 to both sides like this:
-6 = 3x - 12
+12 +12
You would get this:
6 = 3x
Finally, you have to get x by itself, so you have to divide 3 on both sides like this
6/3 = 3/3 x
That's why, your answer is 2
Lines MN and PQ are parallel. Lines RS and TV intersect them. Which statements are true about these lines? Select three options. The slope of line MN is Two-thirds. The slope of line PQ is undefined. The slope of line RS is Negative three-halves. Lines RS and TV are parallel. Line RS is perpendicular to both line MN and line PQ.
Answer:
hello your question is incomplete attached below is the missing diagram
answer :
RS is perpendicular to line MN and line PQ
The slope of line MN is 2/3
The slope of line RS is -3/2
Step-by-step explanation:
The slope of line MN is 2/3slope of MN = [tex]\frac{3-(-1)}{3-(-3)}[/tex] = 4/6 = 2/3
The slope of line RS is -3/2slope of RS = [tex]\frac{-2-1}{2-0}[/tex] = -3/2 this shows that Line RS are perpendicular
Lines RS is perpendicular to MN and PQlines RS is perpendicular to MN and PQ because it's sign is opposite hence it is perpendicular to MN and PQ
Answer:
The slope of line MN is Two-thirds.
The slope of line RS is Negative three-halves.
Line RS is perpendicular to both line MN and line PQ.
Step-by-step explanation:
hope it helps
A bookstore pays $28 for a copy of a
textbook. The bookstore sells the textbook
for $42. What is the percent markup on the
textbook?
F 14%
G 33%
H 50%
3 67%
Answer: H - 50%
Step-by-step explanation:
The percentage markup on the textbook on the given percentage will be 50%.
What is the percentage?The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.
The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.
As per the given,
Cost of a textbook = $28
Selling price = $42
% markup = (42 - 28)/28 x 100 = 50%
Hence "The percentage markup on the textbook on the given percentage will be 50%".
For more about the percentage,
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Need help ASAP !!!!!!!!
Answer:
b 1 1/7
Step-by-step explanation:
pretty sure its B 1 1/7
The price of Stock A at 9 A.M. Was $12.53. Since then, the price has been increasing at the rate of $0.12 each hour. At noon the price of Stock B was $13.28. It begins to decrease at the rate of $0.09 each hour. If the two rates continue, in how many hours will the prices of the two stocks be the same?
Answer:
1.8571428 hours
Step-by-step explanation:
Given that :
Price of stock A at 9 am = $12.53
Rate of increase = $0.12 per hour
Price of stock B at noon = $13.28
Rate of Decrease = $0.09 per hour
Let number of hours = x
Price of stock A at noon :12.53 + 0.12(3) = 12.89
12.89 + 0.12x = 13.28 - 0.09x
0.12x + 0.09x = 13.28 - 12.89
0.21x = 0.39
x = 0.39 / 0.21
x = 1.8571428
Hence the prices of the stock will be the at about 1.857 hours
which is equivalent to √3/√8 when denominator is "rationalized"?
Step-by-step explanation:
[tex]\dfrac{\sqrt3}{\sqrt8}=\dfrac{\sqrt3\cdot\sqrt2}{\sqrt8\cdot\sqrt2}=\dfrac{\sqrt{3\cdot2}}{\sqrt{8\cdot2}}=\dfrac{\sqrt6}{\sqrt{16}}=\dfrac{\sqrt6}{4}[/tex]
Used:[tex]\sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\ \text{for}\ a\geq0\ \wedge\ b\geq0\\\\\sqrt{a}=b\iff b^2=a\ \text{for}\ a\geq0\ \wedge\ b\geq0\\\\\sqrt{16}=4\ \text{because}\ 4^2=16[/tex]
Name the angle in (4) different ways.
Answer:
um in languages or different angles
Step-by-step explanation:
A particular satellite is 10 ft wide. A
model of it was built with a scale of 1 in :
2 ft. How wide is the model?
3 ft
Step-by-step explanation:
Solve by using elimination. Express your answer as an ordered pair.
Answer:
(-2, 5)
Step-by-step explanation:
we subtract 6x+3y=3 by 2x+3y=11 to get 4x=-8.
we divide both sides by 4 to get x. x=-2
We subsitute -2 for the second equation to get:
2(-2)+3y=11
=-4+3y=11
=3y=15
y=5
Greetings again.
The answer is (-2,5)
Explanation:
What we need to do is to eliminate either x-term or y-term. Eliminating the terms that you don't have to multiply to get the same terms for both equations is better.
For this one, there're no terms that make 0.
And what do we do if there are no terms that can be eliminated?
The answer is, multiply one of the equation by -1. To make another equation have opposite negative and positive side. -3y + 3y = 0.
I'll multiply -1 in the second equation.
[tex]2x+3y=11[/tex]
Multiply the whole equation by -1.
[tex]2x(-1)+3y(-1)=11(-1)\\-2x-3y=-11[/tex]
Remind that negative multiply positive equal negative.
Now then we replace the old equation with -2x - 3y = -11
[tex]\left \{ {{6x+3y=3} \atop {-2x-3y=-11}} \right.[/tex]
Then add/subtract vertically.
6x-2x = 4x
3y - 3y = 0
3 - 11 = -8
Therefore, we get 4x = -8
[tex]4x=-8\\x=-2[/tex]
Because this is the system of two linear equations. We need to find the y-term/value too.
Substitute x = -2 in any given equations. choose any equations you'd like to substitute in. For me, I'll substitute in the equation with less coefficient value and that is the second equation.
[tex]2x+3y=11[/tex]
Substitute x = -2 in the equation.
[tex]2(-2)+3y=11\\-4+3y=11\\3y=11+4\\3y=15\\y=5[/tex]
Thus, when x = -2, y = 5. Since you want the answer as an ordered pairs. The answer is (-2,5)
Pls answer this 100 points pls HELP
Answer:
The answer is
N+ 1 = 3+2/2
=3
Step-by-step explanation:
The answer is 3
This is a odd number
Answer:
N + 1 = 3+ 2/2 =3
Step-by-step explanation:
I'm pretty sure is odd because it has the number three(3) and the number three (3) is odd.
WHAT IS 24÷2 PLS PLS PLS PLS
Answer:
12
Step-by-step explanation:
24/2 = 12
Answer:
12
Step-by-step explanation:
HELP PLEASE
given the relation y=x^2 +3 if the input is 4 what is the output
Answer:
19
Step-by-step explanation:
x = 4
y = 4^2 + 3 = 16 +3 = 19
The length between points on a map is 3 inches, 7 inches, and 10 inches. If the scale is one inch equals 25 miles, what are the distances in miles? 3 inches is miles 7 inches is miles 10 inches is miles
9514 1404 393
Answer:
3 inches ⇒ 75 miles7 inches ⇒ 175 miles10 inches ⇒ 250 milesStep-by-step explanation:
Each inch is 25 miles, so the number of miles is 25 times the number of inches.
3 in ⇒ (3×25 mi) = 75 mi
7 in ⇒ (7×25 mi) = 175 mi
10 in ⇒ (10×25 mi) = 250 mi
There are 82 chairs at a birthday party. The chairs need to be lined up in equal-sized rows. How many possible ways can the chairs be lined up
Answer:
2 rows of 41
Step-by-step explanation:
i had the same question
The number of possible ways can the chairs be lined up is 2 rows of 41.
Given that,
There are 82 chairs at a birthday party. The chairs need to be lined up in equal-sized rows.Based on the above information, the calculation is as follows:
[tex]= 2 \times 41[/tex]
= 82 chairs
Here 2 denotes the rows.
Therefore we can conclude that the number of possible ways can the chairs be lined up is 2 rows of 41.
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