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Tcecarenko [31]
3 years ago
5

Which point is on a line that passes through point R and is perpendicular to line PQ?

Mathematics
2 answers:
aliya0001 [1]3 years ago
5 0
Your answer would be (-4,-8)
yuradex [85]3 years ago
3 0

Answer:

(-4,-8)

Step-by-step explanation:

Given is a picture with a point R and a line PQ

We have to find the point out of the 4 options lying on the perpendicular line to PQ through R

R is the point (4,2)

P is (-6,4) and Q is (4,-4)

Slope of PQ = \frac{-4-4}{4+6} =-0.8

Slope of perpendicular line would be = \frac{1}{-0.8} =-1.25

Equation of the line through R with slope -1.25 is

y-2=1.25(x-4)\\y =1.25x-3

Out of the four options,

only (-4,-8) satisfies

because -8 =-1.25(-4)-3

so answer is (-4,-8)

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Step-by-step explanation:

one and two

4 0
2 years ago
A ball is thrown into the air from the roof of a building that is 25
guapka [62]

See https://web2.0calc.com/questions/help_29603.

6 0
3 years ago
Express cos k as a fraction in simplest terms.
yan [13]

soh cah toa

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6 0
2 years ago
Need answers ASSAP
ollegr [7]
Data:
r (radius) = 3.5 in
h (height) = 8 in
Adopt: \pi \approx3.14
V (volume) = ?
Ink cost per cubic inch = $0.05/in³
Total cost: ?

<span>Calculate the volume of the paint bucket (its formed being cylindrical), we have:
</span>V =  \pi *r^2*h 
V = 3.14 *3.5^2*8 
V = 3.14*12.25*8
\boxed{V = 307.72\:in^3}

<span>What was the total cost of the paint?

</span>price($)___measure(in³)
0.05 ---------- 1
y -------------- 307.72

It is made the rule of three: (<span>directly proportional)
</span>
\frac{0.05}{y} = \frac{1}{307.72}
multiply cross
1*y = 0.05*307.72
y = 15.386\:\to\:\boxed{\boxed{y\approx\$15}}\end{array}}\qquad\quad\checkmark

Answer:
<span>the total cost of the paint is $15</span>
7 0
3 years ago
Please help fast! give me the equation
uranmaximum [27]

\begin{bmatrix}x=\frac{\pi }{2}+2\pi n\\ x=\frac{3\pi }{2}+2\pi n\\ x=\frac{3\pi }{4}+\pi n\\ x=\frac{7\pi }{4}+\pi n\end{bmatrix}

\begin{bmatrix}\frac{3\pi }{2}+2\pi n=\frac{\pi }{2}+2\pi n\\ \frac{3\pi }{2}+2\pi n=\frac{3\pi }{4}+\pi n\\ \frac{3\pi }{2}+2\pi n=\frac{7\pi }{4}+\pi n\end{bmatrix}

\pi =0

- hope this helps! -

6 0
2 years ago
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