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2 years ago

Please help me with this question

Mathematics

2 answers:

Mrrafil [7]2 years ago

4 0

Answers: Options A and D

Aleks04 [339]2 years ago

3 0

Answer:

A. The slope of m is -2/5

and

D. The slope of p is -5/2

Step-by-step explanation:

The slope is defined as the "change in y" over the "change in x" of a line. If you pick two points on a line --- (x1,y1) and (x2,y2) --- you can calculate the slope by dividing y2 - y1 over x2 - x1.

Line m goes through the points (-2,7) and (3,5). Slope = (y2 - y1)/(x2 - x1) = (5 - 7 )/(3 - -2) = -2/5

Line q goes through the points (6,15) and (0,0). Slope = (y2 - y1)/(x2 - x1) = (0 - 15 )/(0 - 6) = -15/-6 = 2.5 = 2 1/2 = 5/2

Line n goes through the points (-5,0) and (0,-2). Slope = (y2 - y1)/(x2 - x1) = (-2 - 0 )/(0 - -5) = -2/5

Line p goes through the points (6,15) and (10,5). Slope = (y2 - y1)/(x2 - x1) = (5 - 15 )/(10 - 6) = -10/4 = -2.5 = -2 1/2 = -5/2

Therfore the only true options are A and D

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matrenka [14]

Answer:

k(x) = -40

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n(x) = 71

d(x) = 17

Step-by-step explanation:

This is exactly the same deal as the most recent question you asked.

"Evaluate each function for x = 8". In other words, this is saying, calculate the result for each function, replace x with 8. So, that means for every function, you are going to replace x with 8.

k(x) = -5x turns into k(x) = -5(8)

Then you just solve, -5(8) = -40

Since I have answered this question similarly, I ask that you go back to the answer and detailed explanation I gave you earlier.

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2 years ago

Solve the equation. 2x – 3 + 4x = 21 x=-12 x= -6 x = 4 x = 6

WARRIOR [948]

Answer:

x = 4

Step-by-step explanation:

2x-3+4x=21

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2 years ago

Read 2 more answers

6 & 7 please help me show work please and thank you!

lara31 [8.8K]

Answer:

6. $\frac{29}{15}$ or 1 $\frac{14}{15}$

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3 years ago

1. What is the coefficient in the expression: 3 + 6x

Zepler [3.9K]

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Step-by-step explanation:

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3 years ago

Use the following triangle to find Sec theta.

makkiz [27]

Answer:

$\frac{\sqrt{41}}{4}$

Step-by-step explanation:

sec(theta) is defined as: $sec(\theta)=\frac{1}{cos(\theta)} = \frac{hypotenuse}{adjacent}$

In the diagram you provided the hypotenuse of the triangle is sqrt(41) and the opposite side is 5, using these two sides, we can solve for the adjacent side by using the Pythagorean Theorem: $a^2+b^2=c^2$

So this gives us the equation where a=adjacent side:

$a^2+5^2=\sqrt{41}^2$

$a^2+25=41$

Subtract 25 from both sides

$a^2=16$

Take the square root of both sides

$a=4$

So now plug this into the definition of sec(theta) and you get: $\frac{\sqrt{41}}{4}$ . This is in most simplified form since 41, has no factors besides 41 and 1.

7 0

2 years ago