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Ymorist [56]
3 years ago
8

Using graph paper, determine the line described by the given point and slope. Click to show the correct graph below.

Mathematics
1 answer:
Otrada [13]3 years ago
3 0

Answer:

  see below

Step-by-step explanation:

A proportional relationship has a graph that <em>always goes through the origin</em>. This fact by itself eliminates all the wrong answers.

A slope of 2/3 means the rise is 2 for each horizontal run to the right of 3. The two given points are 2 vertical units and 3 horizontal units apart, demonstrating a slope of 2/3.

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An auto insurance company pays 12% commission to its agents for each new insurance policy they sell. How much commission does an
Darina [25.2K]

Answer:

  120

Step-by-step explanation:

0.12 × 1000 = 120

___

The amount of commission is the product of the commission rate and the amount on which commission is paid.

5 0
3 years ago
What is the distance from point (– 1, 3) to the line 3x – 4y = 10?​
natta225 [31]

Answer:

5 units

Step-by-step explanation:

The distance from a point (m, n ) to the line Ax + By + C = 0 is given by

d = \frac{|Am+Bn+C|}{\sqrt{A^2+B^2} }

For the point (- 1, 3 ) , with m = - 1 and n = 3

3x - 4y = 10 ( subtract 10 from both sides )

3x - 4y - 10 = 0

with A = 3 , B = - 4 , C = - 10

d = \frac{|3(-1)+(-4)3-10|}{\sqrt{3^2+(-4)^2} }

   = \frac{|-3-12-10|}{9+16}

   = \frac{|-25|}{\sqrt{25} }

    = \frac{25}{5}

     = 5

5 0
2 years ago
ur a HS photographer taking pictures fir 2 classes of 21 students each. on average, each individual pic takes 3 minutes and a cl
goblinko [34]
2 classes of 21 students each
21 × 2 classes = 42 students in total
42 × 3 mins = 126 minutes for 42 students
10 mins for 2 class pics = 20 minutes
126 + 20 = 146 minutes = 2 hours and 26 minutes

It should take 146 minutes (2 hours and 26 minutes) to take all the pictures.
6 0
3 years ago
The diagram shows the net of a juice box. The box is a rectangular prism.
Hoochie [10]

Answer:

269.6 square centimeters

Step-by-step explanation:

<u><em>The correct question is</em></u>

The diagram shows the net of a juice box. the box is a rectangular prism. what is the surface area of the juice box? 6.4 cm 4 cm 10.5 cm

we know that

The surface area of a rectangular prism is equal to

SA=2B+PH

where

B is the area of the base

P is the perimeter of the base

H is the height of the prism

we have

L=6.4\ cm\\W=4\ cm\\H=10.5\ cm

<em>Find the area of the base B</em>

B=LW

substitute the given values

B=(6.4)(4)=25.6\ cm^2

<em>Find the perimeter of the base P</em>

P=2(L+W)

substitute the given values

P=2(6.4+4)=20.8\ cm

<em>Find the surface area</em>

SA=2B+PH

substitute  

SA=2(25.6)+(20.8)10.5=269.6\ cm^2

6 0
3 years ago
Which of the following represents a function that is reflected over the x-axis and shifted up 3
Travka [436]

Answer:

Option 2.

Step-by-step explanation:

f(x) = - x^2 + 3

The parent function is x^2

- the '-'  before the x^2 reflects it in the x-axis,  and the + 3 shifts it up 3 units.

7 0
3 years ago
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