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Elan Coil [88]
3 years ago
12

What's is an equation of the line that passes through the point(-3,-1) and is perpendicular to the line x-2y=6

Mathematics
1 answer:
katrin2010 [14]3 years ago
6 0

Answer:

y+1=-2(x+3)

Step-by-step explanation:

Slope is negative reciprocal when two lines are perpendicular

m1=1/2 therefore m2=-2

The equation of the line in point-slope form is given as

y-y_1=m_2(x-x_1)

Here m=-2 and (x1, y1)=(-3, -1)

Therefore,

y+1=-2(x+3)

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Solve the system of equations.<br> 7y + 10.x = -11<br> 4y - 3x = -15
Sidana [21]

Answer:

x= 1

y= -3

Step-by-step explanation:

multiply them to get common factor for y or x:

3(7y+10x=-11)

10(4y-3x=-15)

21y+30x=-33

40y-30x=-150    <em>x's cancel out so solve for y</em>

61y = -183

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<em />

<em>4(-3) -3x=-15</em>

<em>x = 1</em>

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2 years ago
Assume $20,000 is deposited into a savings account. Bedford Bank offers an annual rate of 1% simple interest for five years. Sli
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2 years ago
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Elena L [17]
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8 0
3 years ago
Statements that are true for a cylinder with radius r and height h.
vampirchik [111]

Answer:

Only the second and third statements are correct:

Doubling <em>r</em> quadruples the volume.

Doubling <em>h</em> doubles the volume.

Step-by-step explanation:

The volume of a cylinder is given by:

\displaystyle V=\pi r^2h

We can go through each statement and examine its validity.

Statement 1)

If the radius is doubled, our new radius is now 2<em>r</em>. Hence, our volume is:

\displaystyle V=\pi (2r)^2h=4\pi r^2h

So, compared to the old volume, the new volume is quadrupled the original volume.

Statement 1 is not correct.

Statement 2)

Using the previous reasonsing, Statement 2 is correct.

Statement 3)

If the height is doubled, our new height is now 2<em>h</em>. Hence, our volume is:

V=\pi r^2(2h)=2\pi r^2h

So, compared to the old volume, the new volume has been doubled.

Statement 3 is correct.

Statement 4)

Statement 4 is not correct using the previous reasonsing.

Statement 5)

Doubling the radius results in 2<em>r</em> and doubling the height results in 2<em>h</em>. Hence, the new volume is:

V=\pi (2r)^2(2h)=\pi (4r^2)(2h)=8\pi r^2h

So, compared to the old volume, the new volume is increased by eight-fold.

Statement 5 is not correct.

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3 years ago
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Surface area of the pyramid= 4*(area of the triangle) + area of the square

Area of the triangle = (1/2)*base*height=(1/2)*5*5= 25/2 in²
Area of the square = 5*5 =25 in²

Surface area of the pyramid = 4*(25/2) + 25=2*25 + 25=75 in²
3 0
2 years ago
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