The two quadrilaterals below are similar. Find the missing side.

The function for the points are  y = -15x - 5

From the information given, we have that;

The points are;

(1/3,0) (-2 3/4,0) and (0,-5)

Using the point-slope form of a linear equation, we have;

y - y₁ = m(x - x₁)

Such that;

Using (1/3, 0) and (0, -5), we have that the slope is;

m = (0 - (-5))/0 -1/3)

expand the bracket

= 5 / (-1/3)

= -15

Now, take any of the given points and substitute the values

Using (1/3, 0), we get;

y - 0 = -15(x - 1/3).

y = -15x - 5.

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The function for the points solved by  (1/3,0) (-2 3/4,0) and (0,-5) solved by point slope form is \(a=-15b-5\)

We have given the points:

(1/3,0) (-2 3/4,0) and (0,-5)

Using the formula of linear equation

\(a-\)\(a_{1}\)\(=x[b-b_{1}]\)                                                          

Where we will consider (1/3,0) = \(a-a_{1}\) and (0,-5) = \(b-b_{1}\)

that is 1/3 = \(a\), 0 = \(a_{1}\) and

0 = \(b\), -5 = \(b_{1}\)

\(x\) refers to the slope of line (take any variable)

Now for finding the value of \(x\),

\(x=a-a_{1}/b-b_{1}\)

inserting the values,

\(x=[0-[-5]]/[0-1/3]\\x= -15\)

Substitute the value of \(x\) in the equation

\(a-0=-15[b-1/3]\)

By simplifying the equation, we get

\(a=-15b-5\)

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Answer:

The mode is equal to the minimum

Is the correct answer

Step-by-step explanation:

In this case,

Mean = (52+48+48+54+50)/5

Mean = 50.4

The Median = 50,(the middle value)

Mode = 48  (the value that appears most often)

Now, the minimum value(smallest value) of the data set is 48

so,

The mode is equal to the minimum

Answer: the mode is equal to the minimum

Step-by-step explanation:

74 meters

Step-by-step explanation:

The difference in Emile and Henry's speed is 1.5, and the lead for Henry is 45 meters, so 45÷1.5= 30 seconds which means Henry will go another 30 meters at 1 meter per second.

2. To make it a close race we want Henry to go a longer distance than Emile, so make it 74 meters, which means Emile will go only have 45+29 = 74 seconds to get to 74 meters, but Henry only have 29 seconds in total = 29*2.5 = 72.5 meters.  

Answer: look at the image for the answer and the explanation

Step-by-step explanation:

Answer:

A function is a mathematical relation in which each input (domain value) is associated with exactly one output (range value). In other words, for a relation to be a function, each input can have only one corresponding output. Let's analyze the given pairings:

(a person’s age in years, that same person’s height in inches) - This can be a function because one person's age in years should correspond to a single height in inches.

(a person’s weight in pounds, that same person’s height in inches) - This can also be a function because one person's weight in pounds should correspond to a single height in inches.

(a person’s height in centimeters, that same person’s height in inches) - This can be a function because one person's height in centimeters should correspond to a single height in inches.

(a person’s telephone number, that same person’s height in inches) - This may not necessarily be a function. It's possible for two different people to have the same height in inches but different telephone numbers.

So, the pairings that always describe a function are:

(a person’s age in years, that same person’s height in inches)

(a person’s weight in pounds, that same person’s height in inches)

(a person’s height in centimeters, that same person’s height in inches)

These three pairings meet the criteria of a function, where each input corresponds to a unique output.

The pairing that always describes a function is option C. (a person’s height in centimeters, that same person’s height in inches)

A pairing describes a function when each unique input (domain element) is associated with exactly one unique output (range element). In other words, there should be no ambiguity or multiple outputs for a single input. Let's analyze the given pairings:

1. (a person’s age in years, that same person’s height in inches): This pairing may not always describe a function because multiple people can have the same age, but they might have different heights. So, there can be multiple outputs for the same input (age).

2. (a person’s weight in pounds, that same person’s height in inches): Similar to the first pairing, this may not always describe a function because different people can have the same weight but different heights.

3. (a person’s height in centimeters, that same person’s height in inches): This pairing describes a function because for each unique height in centimeters, there is only one corresponding height in inches.

4. (a person’s telephone number, that same person’s height in inches): This pairing may not always describe a function because multiple people can have the same telephone number, but they might have different heights. So, there can be multiple outputs for the same input (telephone number).

So, the pairing that always describes a function is: (a person’s height in centimeters, that same person’s height in inches)

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Answer:

Step-by-step explanation:

Rise over run is the slope, m

m=2/5

a)  the slope is 2/5 = .4 which is below the boundary guideline.  So no this is not with in carpenter's guidelines

b) the image below show a line with slope 2/5 but with intercept 3

c) the stairs can be draw on the line with rise 2 run 5   from the line.  see image

d)equation is in image

2.

a) count the squares

horizontal distance =3

vertical distance =3

b)  slope is vertical distance over horizontal distance  so m= 3/3 =1

Answer:

294 in^2 = A

Step-by-step explanation:

Let h represent the length of the hypotenuse, b the base and h the height.  Because this is a right triangle, the Pythagorean Theorem applies.

(hypotenuse)^2 = (base)^2 + (height)^2

         h^2           =  (h - 7)^2  +  (h - 14)^2

Perimeter of the triangle is 84 inches, equal to (h) + (h - 7) + (h - 14), which in turn simplifies to 84 = h + h - 7 + h - 14, or 84 = 3h - 21, or 3h = 105.  Solving this for h, we get h = 35.

Then the base is (35 - 7), or 28, and the height is (35 - 14), or 21.

The area of the triangle is found using the formula

A = (1/2)(base)(height) = (1/2)(28)(21) = 294 in^2 = A

My calculations told me that Elena won the race.

Step-by-step explanation:

Please give me atleast 3 stars if I am right.

Answer:

B. 816

Step-by-step explanation:

Answer:

Step-by-step explanation:

A because every hour it goes down by 2 so that must be right

Answer:

She can make 7 bouquets of 5 lollipops with no lollipops left over.

Step-by-step explanation:

7x5=35.

35= total amount of lollipops

7= amount of bouquets

5= amount of lollipops in each bouquet...

have a good day.

Answer:

70

Step-by-step explanation:

630 divided by 70 is 9, so then you take 630 again and divide it by 9 to get 70

Answer:

x > 5

Step-by-step explanation:

x + 12 > 17

x + 12 - 12 > 17 - 12  ==> isolate x by subtracting 12 on each side

x > 17 - 12

x > 5  ==> simplify

Answer: x > 5

Step-by-step explanation:
x + 12 > 17 (treat '>' as an equal sign and move 12 to the other side)
x > 17 - 12 (sign of 12 changes , now subtract them)
x > 5 (x (which is unknown) is greater than 5

(If it helps, please mark as brainliest)

Answer:

1.  (-2,-3)  2.(-4,-1)   3. (-3,1) 4. (-5,2)  5.(9,-7)

Step-by-step explanation:

1.  (-2, -3)  

2.  (-4, -1)  

3. (-3, 1)

4. (-5, 2)  

5. (9, -7)

Answer: I would say B is correct

Step-by-step explanation:

Answer: Joe has initial amount of $12 ( when he played no game).

Step-by-step explanation:

Given: Joe took $12 to the arcade. Each game cost $.50 to play.

This situation can be modeled with the equation \(y =-0.50 x+ 12.\)

Here,

Money Joe has remaining is repreesnted by 'y', and the number of games he plays is represented by 'x'.

Since y-intercept gives the initial value of the function when x=0.

To find y-intercept , we out x=0 in funtion , we get

\(y=-0.50(0)+12=12\)

So , y-intercept of this function is at y=12.

Meaning of the y-intercept in the terms of this problem :

Joe has initial amount of $12 ( when he played no game).

Answer:

y-intercept is 12 and y-intercept shows the fixed cost of arcade, i.e., $12.

Step-by-step explanation:

Note : The given equation is not correct.

It is given that Joe took $12 to the arcade and each game cost $0.50 to play.

This situation can be modeled with the equation

\(y=0.50x+12\)

where, y is total cost of playing x games.

We need to find y-intercept.

Substitute x=0 in the above equation to find the y-intercept of the equation.

\(y=0.50(0)+12\)

\(y=0+12\)

\(y=12\)

So, the y-intercept is 12.

Here y-intercept represents the total cost if the number of games is zero.

It means y-intercept shows the fixed cost of arcade, i.e., 12.

2x=-28

x=-28÷2=(-14)

I hope it helps you

Answer:

4/7

Step-by-step explanation:

class total = 21

chance of picking one of 12 boys out of 21.

12/21 which can be simpilfied to 4/7

Answer:

1) 512 in.

2) 384 in.

Step-by-step explanation:

\(volume = {a}^{3} = 8 \times 8 \times 8 =512\)

\(surface \: area \: = 6 {a}^{2} = 6 \times 8 \times8 = 384\)

Answer: hope this helps ♡

Lily had 16 stamps and Mackenzie had 20 stamps.

Step-by-step explanation:

Lily gives 4 stamps to Mackenzie

(Mackenzie)     m + 4 = 2(L - 4)      (Lily)

Solve for Lily:

m + 4 = 2L - 8

m + 4 + 8 = 2L

(m + 12) ÷ 2 = 2L ÷ 2

(m + 12) ÷ 2 = L

L = (m + 12) ÷ 2 (we will substitute this value for L in the second equation)

Mackenzie gives 4 stamps to Lily

(Mackenzie)     m - 4 = L + 4      (Lily)

m - 4 = ((m + 12) ÷ 2) + 4

m × 2 - 4 = ((m + 12) ÷ 2 × 2) + 4

2m - 4 + 4 = (m + 12) + 4 + 4

2m - m = (m - m + 12) + 8

m = 12 + 8

m = 20 (we will substitute this value of m in the next equation)

L = (m + 12) ÷ 2

L = (20 + 12) ÷ 2

L = 32 ÷ 2

L = 16

Answer:

Step-by-step explanation:

Answer:

288 in.

Step-by-step explanation:

I believe this is how...

1. 12x6 =72

2. 12x4 =48

3. 6x4 =24

3. Add all products together. =144

4. Multiply: 144 x 2

Answer: Answer C

Step-by-step explanation: