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3 years ago

(6,2),(9,r),m=-1 find the value of r

Mathematics

1 answer:

Bond [772]3 years ago

4 0

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the points (6, 2) and (9, r), the slope m = -1. Substitute:

$-1=\dfrac{r-2}{9-6}\\\\-1=\dfrac{r-2}{3}\qquad\text{multiply both sides by 3}\\\\-3=r-2\qquad\text{add 2 to both sides}\\\\\boxed{r=-1}$

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3 years ago

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What is the first step when solving the following inequality x+2/-5<4? Group of answer choices A. Add 5 to both sides and DO

LiRa [457]

Assuming we're dealing with $\frac{x+2}{-5} < 4$ , which is the same as writing (x+2)/(-5) < 4, then the answer is choice C.

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-------------------------------------

Multiplying or dividing both sides by a negative number flips the inequality sign.

An example would be saying -2x < 10 leads to x > -5

What we can do is divide both sides by -2 and flip the inequality sign, or we could follow the steps shown below

-2x < 10
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2x > -10
x > -10/2 ..... dividing both sides by 2
x > -5

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3 years ago

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kolezko [41]

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3 years ago

Greatest common factor for 32-4x

Anastasy [175]

Answer:

out of

−

(

−

)

Step-by-step explanation:

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3 years ago

Which of the following are possible values of r?<br><img src="https://tex.z-dn.net/?f=%20%7Br%7D%5E%7B2%20%7D%20%20%3D%20%20%5Cf

marshall27 [118]

Answer:

$r=\frac{\sqrt{3} }{4}$ and $r=-\frac{\sqrt{3} }{4}$

Step-by-step explanation:

when you solve for r in the given equation, you need to apply the square root property, which gives positive and negative answers (both should therefore be considered):

$r^2=\frac{3}{16} \\r=+/-\sqrt{\frac{3}{16}} \\r=+/-\frac{\sqrt{3} }{4}$

then you need to include these two possible solutions:

$r=\frac{\sqrt{3} }{4}$ and $r=-\frac{\sqrt{3} }{4}$

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3 years ago