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Kipish [7]
3 years ago
15

Write the equation of the line that is parallel to y=3x-5 and passes through the point (-2,1)​

Mathematics
1 answer:
valina [46]3 years ago
7 0

Answer:

y=3x+7

Step-by-step explanation:

y=mx+c

m=3 parallel lines have the same gradient

(-2,1)

(x,y)

y=mx+C

1=3x-2+c

1=-6+c

c=7

y=3x+7

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Answer:

  • Height = <u>9</u><u> </u>cm which means <u>Option </u><u>C </u>is the answer

Step-by-step explanation:

In the question we are given ,

  • Volume of cylinder = <u>2</u><u>2</u><u>5</u><u>π</u><u> </u><u>cm³</u>

  • Radius of cylinder = <u>5 cm</u>

And , we have to find the <u>height</u><u> of</u><u> </u><u>cylinder</u><u> </u>.

We know that ,

\longrightarrow \pink{ \boxed{Volume \:  of \:  Cylinder = \pi r {}^{2}h  }} \longleftarrow

Our solution starts from here :

\longmapsto \: \pi \: r {}^{2} h = 225\pi

<u>Step </u><u>1</u><u> </u><u>:</u> Cancelling π with π :

\longmapsto \:  \cancel{\pi} \: r {}^{2} h = 225 \cancel{\pi}

<u>Step </u><u>2</u><u> </u><u>:</u> Substituting value of radius which is 5 cm in the formula :

\longmapsto \: (5) {}^{2}  \times h = 225

\longmapsto \: 25h = 225

<u>Step </u><u>3 </u><u>:</u> Transposing 25 to right hand side :

\longmapsto \: h =  \frac{225}{25}

<u>Step </u><u>4</u><u> </u><u>:</u> Cancelling 225 by 25 :

\longmapsto \:   \red{\boxed{h = 9 \: cm}}

  • <u>Henceforth</u><u> </u><u>,</u><u> </u><u>height</u><u> </u><u>of </u><u>cylinder</u><u> is</u><u> </u><u>9</u><u> </u><u>cm</u>

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MrRissso [65]
8.9 x 10^-5 in scientific notation
5 0
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gavmur [86]

Answer:

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Step-by-step explanation:

8 0
3 years ago
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Part C of Jim and his dad are building a rectangular flower bed.
charle [14.2K]
I gotchu

The perimeter is 35. If we were to change the width, which is one of the dimensions of the flower bed, The perimeter will change. This means that perimeter will no longer be 35. So in order to keep the perimeter as it is, if we change one dimension, we must also change the other.

Let's solve for the length, using the formula to see how much the length changes from.

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ValentinkaMS [17]

Step-by-step explanation:

Since the three given points represent a straight line, we can construct a table to go to the point where x=0, the y-value will be the y-intercept.

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We note that for every increase of 9 in x, there is an increase of 19 in y.

so continuing:

-9 -60

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Answer: y-intercept is (0,-41)

8 0
3 years ago
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