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worty [1.4K]
3 years ago
14

Triangle PQR has vertices P(–2, 6), Q(–8, 4), and R(1, –2). It is translated according to the rule (x, y) → (x – 2, y – 16). Wha

t is the y-value of P'? The y-value of P' is
Mathematics
1 answer:
Rudik [331]3 years ago
4 0
The point P has coordinates (x,y) = (-2,6) so x = -2 and y = 6

Replace x and y with those values into the rule given
So,
(x,y) ---> (x-2, y-16)
turns into
(-2,6) ---> (-2-2, 6-16) = (-4,-10)

P = (-2,6)
P ' = (-4,-10) 

The answer is -10 because your teacher just wants the y coordinate of point P'
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The diameter of a wheel of a lorry is 150cm. If the lorry travels 376.8m, how many times does the wheel rotate?
tresset_1 [31]
<h3>Answer:  79 full rotations</h3>

====================================================

Explanation:

150 cm = 150/100 = 1.5 m

The wheel has a diameter of 1.5 meters

The circumference of the wheel is

C = pi*d

C = pi*1.5

C = 1.5pi

C = 4.71238898038469

I'm using my calculator's stored version of pi to get the most accuracy.

Then we divide the 376.8 over the circumference found

(376.8)/(4.71238898038469) = 79.9594434093682

Despite being very close to 80, we must round down to 79 because we don't have enough to get that full 80th rotation. In other words, we have 79 full rotations and then some change leftover.

Though for the sake of simplicity, I can see how it's useful to say "about 80 rotations" if 79 seems a bit clunky. I'll stick with 79 however. Let me know if your teacher instructs otherwise.

4 0
2 years ago
Triangle ABC with vertices A(-4, 2), B(4,7), and
alex41 [277]

Step-by-step explanation:

A(-4,2)=A'(-4,-2)

B(4,7)=B'(4,-7)

C(5,1)=C'(5,-1)

4 0
3 years ago
How do you the equation of the line that passes through x-intercept (–8, 0) and undefined slope?
kifflom [539]
If the slope is undefined, then your line is a vertical line since vertical lines can have no slope (they don't have any lateral movement). Because it must pass through (- 8, 0), x must = - 8.

Your equation is x = - 8
8 0
3 years ago
172.7=3.14d <br> Solve for d
Serga [27]

Answer:

55

Step-by-step explanation:

Divide both sides by 3.14 to get d by itself.

172.7 / 3.14 = 55 = d

4 0
3 years ago
I cant figure out the answer.<img src="https://tex.z-dn.net/?f=1472%20divide%20by%2032" id="TexFormula1" title="1472 divide by 3
Anuta_ua [19.1K]

Answer:

<h2>46</h2><h2 /><h2 /><h2>Please leave a rating if this helped! Have a great day!</h2>
7 0
2 years ago
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