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Yuliya22 [10]
3 years ago
10

Write a linear equation that is perpendicular to y=-4x-6 and passes through the point (4,10).

Mathematics
2 answers:
NeTakaya3 years ago
8 0

Answer:

1/4x+9

Step-by-step explanation:

Nata [24]3 years ago
7 0

The equation we look for must have a slope that is the inverse reciprocal of -4. The inverse reciprocal always leads to -1 when multiplied by the given slope.

Let's see: -4(1/4) = -1.

Yep. The slope of the equation we need to find is 1/4.

Use the point-slope formula to find your equation.

Point-slope: y - y_1 = m(x - x_1), where m is the slope, y_1 is the y-coordinate of the given point and x is the x-coordinate of the given point.

We now plug, chug and isolate y.

Ready?

y - 10 = (1/4)(x - 4)

y - 10 = (1/4)x -1

y = (1/4)x - 1 + 10

Your equation is y = (1/4)x + 9.

Did you understand?

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In triangle PQR, Line QS and line SR are angle bisectors to angle P (74 degrees). How many Degrees are in the angle QSR.
AlexFokin [52]

we know that

<u>in the triangle PQR</u>

m∠PQR+m∠QPR+m∠QRP=180°------> the sum of the internal angles of a triangle is equal to 180 degrees

(m∠PQR+m∠QRP)+74°=180°-------> (m∠PQR+m∠QRP)=106°

we know that

If QS and SR are angle bisectors

then

<u>In the triangle QSR</u>

m∠SQR+m∠QSR+m∠QRS=180°-------> equation 1

and

(m∠SQR+m∠QRS)=106°/2--------> (m∠SQR+m∠QRS)=53°

substitute the value of (m∠SQR+m∠QRS)=53° in the equation 1

53°+m∠QSR=180°

m∠QSR=180°-53°-------->m∠QSR= 27°

therefore

<u>the answer is</u>

The measure of angle QSR is  27 degrees

4 0
4 years ago
(1 pt) Which answer best describes the solution to the equation 3m – 9 = 9 + 3m?
seropon [69]
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false
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Bella bought a small smoothie at the point coffee shop and gave the bury stuff a 10% tip she spent 2.75 in or how much is the sm
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Volume of cylinder, write the term in pie
gladu [14]

Answer:

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area of base = pi x r^2

4pi = pi r^2

4=r^2

r=2

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4pi + 8pi

<u>12pi  = volume</u>

<u />

<u>hope that answers your question</u>

<u>Don't hesitate to comment if you are confused about something</u>

Step-by-step explanation:

3 0
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