Equivalent expressions: negative numbers & distribution

Mathematics

1 answer:

frez [133]2 years ago

8 0

Answer:

C) None of the above

When you simplify -6+4q+(-6q), you'll end up with -2q-6, which isn't present between the two choices.

-6(q+1)-4q = -10q-6, so that can't be the answer

2(q-3) = 2q - 6. But the 2q isn't negative, so therefore, this isn't the answer either

Therefore, the answer is C: None of the above

<em>Hope this helped!</em>

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Can Someone Answer My Final Answers :) I’d appreciate it so much :)

DaniilM [7]

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$(x_{2},y_{2})$ are the coordinates of the second point
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We know form our graph that the coordinates of our first point, W, are (1,0) and the coordinates of the second point, Z, are (4,2). Using the distance formula:
$d_{WZ}= \sqrt{(4-1)^2+(2-0)^2}$
$d_{WZ}= \sqrt{(3)^2+(2)^2}$
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$d_{WZ}= \sqrt{13}$

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$d_{YZ}= \sqrt{13}$
$d_{XY}= \sqrt{13}$
$d_{XW}= \sqrt{13}$

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$perimeter= \sqrt{13} + \sqrt{13} + \sqrt{13} + \sqrt{13}$
$perimeter=4 \sqrt{13}$
We can conclude that the perimeter of our rhombus is $4 \sqrt{13}$ square units.

2. To solve this, we are going to use the arc length formula: $s=r \alpha$
where
$s$ is the length of the arc.
$r$ is the radius of the circle.
$\alpha$ is the central angle in radians

We know form our problem that the length of arc PQ is $\frac{8}{3} \pi$ inches, so $s=\frac{8}{3} \pi$ , and we can infer from our picture that $r=15$ . Lest replace the values in our formula to find the central angle POQ:
$s=r \alpha$
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$\alpha = \frac{\frac{8}{3} \pi}{15}$
$\alpha = \frac{8}{45} \pi$

Since $\alpha =POQ$ , We can conclude that the measure of the central angle POQ is $\frac{8}{45} \pi$

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