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timofeeve [1]
3 years ago
11

Given the equation y-5=5x determine whether the points (2,12) and (-2,-5) are solutions on the graph

Mathematics
1 answer:
finlep [7]3 years ago
6 0
(-2,-5) is on the graph because -5-5=5*(-2)= -10=-10. therefore the equation is true
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The table below represents a linear function f(x) and the equation represents a function g(x):
Novosadov [1.4K]

Part A: The slope of f(x) is three times as great as the slope of g(x).

Part B: The y-intercept of g(x) is 12 larger than the y-intercept of f(x).

In order to find these two answers, you need to find a model for f(x). You can do that by first finding the slope. The formula is below.

slope (m) = (y2 - y1)/(x2 - x1)

In this equation (x1, y1) is the first point and (x2, y2) is a second point. For this purpose, we'll pick (1, 0) and (0, -6)

slope (m) = (-6 - 0)/(0 - 1)

m = -6/-1

m = 6

Now we know that the slope is 6, which is 3 times as great as the first slope. Now to find the y-intercept, we can use either point and the slope in slope intercept form.

y = mx + b

0 = 6(1) + b

0 = 6 + b

-6 = b

So we know the y-intercept is -6, which is 12 less than the y-intercept of g(x).

7 0
3 years ago
Maleek rested a 15.5-foot ladder against a building. The base of the ladder is 8.2 feet from the building. How far up the buildi
oksian1 [2.3K]

Answer:

13.2 ft

Step-by-step explanation:

x^2 + 8.2^2 = 15.5^2

x = \sqrt{15.5^2 -8.2^2}

x = 13.2 ft

3 0
3 years ago
Help me fast I have 30 min to finish the testtt!!!!!!!!!
CaHeK987 [17]
B and D
Hope this helps(just for word count lol)
6 0
2 years ago
Factor 21c+24.<br> Write your answer as a product with a whole number greater than 1.<br> use ()
Lera25 [3.4K]

Answer:

The required answer as a product with a whole number greater than 1 will be:

21c+24=3\left(7c+8\right)

Step-by-step explanation:

Given the expression

21c+24

Determining the factor

21c+24

  • Rewrite 24 as 3 · 8
  • Rewrite 21 as 3 · 7

so the expression becomes

21c+24=3\cdot \:\:7c+3\cdot \:\:8

Factor out the common term 3

             =3\left(7c+8\right)

Therefore, the required answer as a product with a whole number greater than 1 will be:

21c+24=3\left(7c+8\right)

5 0
3 years ago
What is the equation of this graphed line?
Eva8 [605]

Answer:

  • y = -9/8x + 7

Step-by-step explanation:

<u>Slope-intercept form is:</u>

  • y = mx + b

<u>Points given:</u>

  • (0, 7) and (8, -2)

<u>y-intercept is </u>

  • b = 7 as per the first point

<u>And the slope is:</u>

  • m = (-2 - 7)/(8 - 0) = -9/8

<u>So the line is:</u>

  • y = -9/8x + 7
6 0
3 years ago
Read 2 more answers
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