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Liula [17]
3 years ago
11

What is the image point of (-4, 8) after a translation right 4 units and up 2 units?

Mathematics
1 answer:
Vitek1552 [10]3 years ago
4 0

Given:

Point = ( -4,8).

To find:

The image point of (-4, 8) after a translation right 4 units and up 2 units.

Solution:

We know that, if a figure translated 4 units right and 2 units up, then the rule of translation is

(x,y)\to (x+4,y+2)

The point is (-4,8).

Putting x=-4 and y=8, we get

(-4,2)\to (-4+4,8+2)

(-4,2)\to (0,10)

Therefore, the image of point (-4,8) is (0,10).

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I disagree with the student because the slope is the rate of change. The slope would be 10 because the rocks are increasing by 10 every month.
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3 years ago
Solve the proportions:
IRINA_888 [86]

<u>Answer:</u>

  • 6. 6.75
  • 7. 27
  • 8. 92/17
  • 9. 49

<u>Step-by-step explanation:</u>

<u>- Question 6 -</u>

  • 9/16 = x/12
  • => 16x = 12 x 9
  • => 16x = 108
  • => x = 6.75

Hence, <u>the value of x in this proportion is 6.75.</u>

<h3>_______________________________</h3>

<u>- Question 7 -</u>

  • -3 + x/18 = 12/9
  • => -3/18 + x/18 = 4/3
  • => x/18 = 4/3 + 1/6
  • => x/18 = 8/6 + 1/6
  • => x/18 = 9/6
  • => x = 9/6 x 18
  • => x = 27

Hence, <u>the value of x is 27</u>

<h3>_______________________________</h3>

<u>- Question 8 -</u>

17/15 = 10/2x - 2

=> 17(2x - 2) = 150

=> 34x - 34 = 150

=> 34x = 184

=> x = 184/34

=> x = 92/17

Hence, <u>the value of x is 92/17</u>

<h3>_______________________________</h3>

<u>- Question 9 -</u>

  • x - 16/x + 6 = 3/5
  • => 5(x - 16) = 3(x + 6)
  • => 5x - 80 = 3x + 18
  • => 2x = 98
  • => x = 49

Hence, <u>the value of x is 49.</u>

<h3>_______________________________</h3>

Hoped this helped.

3 0
3 years ago
A group of friends were working on a student film that had a budget of $600. They
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Answer:55%

Step-by-step explanation:

330/600=0.55

55%

6 0
3 years ago
Find the x and y intercepts of the following function.<br> g(x)=x^2-5x-84
Ahat [919]

Answer:

see explanation

Step-by-step explanation:

To find the y- intercept let x = 0 in the function

g(0) = 0 - 0 - 84 = - 84 ← y- intercept

To find the x- intercepts let y = 0, that is

x² - 5x - 84 = 0

To factor the quadratic

Consider the factors of the constant term (- 84) which sum to give the coefficient of the x- term

The factors are - 12 and + 7, since

- 12 × 7 = - 84 and - 12 + 7 = - 5, thus

(x - 12)(x + 7) = 0

Equate each factor to zero and solve for x

x - 12 = 0 ⇒ x = 12

x + 7 = 0 ⇒ x = - 7

x- intercepts are x = - 7 and x = 12

8 0
3 years ago
X+2y=4<br> 2x-2y=5 <br> what is the answer
Tom [10]

x + 2y = 4

2x - 2y = 5

Adding both the equations:

x + 2y + 2x - 2y = 9

3x = 9

x = 3

y = 4-x /2 = 1/2

4 0
3 years ago
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