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Lynna [10]
3 years ago
5

What is the equation of a line, in point-slope form, that passes through (-8, 1)and has a slope of ?

Mathematics
1 answer:
Serggg [28]3 years ago
8 0

Answer:

y-1 = 5(x+8)

Step-by-step explanation:

The standard equation of a line in point slope form is expressed as;

y-y0 = m(x-x0)

m is the slope

(x0, y0) is the point

Given

Slope m = 5 (assumed value)

Point (-8,1)

Substitute the given data's into the formula

y -1 = 5(x-(-8))

y-1 = 5(x+8)

Hence the required equation is y-1 = 5(x+8)

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The volume of the triangular prism is 12.5 m³. The length is 2.5 m and the base is 2 m. What is the width?
Fantom [35]

Answer:

  (4)  5 m

Step-by-step explanation:

You want the length of side x of a right triangular prism with base edge lengths of 2.5 m and 2 m, and a volume of 12.5 m³.

<h3>Volume</h3>

The volume of the prism is given by the formula ...

  V = Bh

where B is the area of the base:

  B = 1/2bh . . . . where b and h are the leg dimensions of the right triangle

Using these formulas together, we have ...

  V = 1/2(2.5 m)(2 m)x

  12.5 m³ = 2.5x m²

Dividing by 2.5 m², we find x to be ...

  (12.5 m³)/(2.5 m²) = x = 5 m

The dimension labeled x has length 5 meters.

6 0
1 year ago
I need help finding x
BigorU [14]

Answer:

The answer to your question is      x = \sqrt{50}    or x = 5\sqrt{2}

Step-by-step explanation:

To solve this problem use the Pythagorean theorem because two right triangles are formed.

                    c² = a² + b²

c = 10

a = x

b = x     Because in a square all the sides measure the same.

                    10² = x² + x²

- Simplify

                    100 = 2x²

                    x² = 100/2

                   x² = 50

                    x = \sqrt{50}    or x = 5\sqrt{2}

         

3 0
3 years ago
Simplify the expression:<br> 3j–1+4
RUDIKE [14]

Answer:

3j/3—5/3

J=5/3

hope helps

5 0
3 years ago
What is the area of the triangle?
alexandr402 [8]

Answer:

15/2

Step-by-step explanation:

Hello,

the area of a triangle is b*h/2

we can set BC as the base because AC is harder to calculate.

Then we draw an imaginary height.

There's no way to really explain, but the height would be 5 here, since 3 - -2 = 5

The base is 3

3*5/2 = 15/2

Thanks,

lacampanella

3 0
3 years ago
A pool has a depth of 12 feet and a width of 14 feet.If it holds 1680 cubic feet of water, what is the length of the pool?
Novay_Z [31]

12 x 14 x L = 1680

168 x L = 1680

         L = 1680 / 168

         L = 10 feet

3 0
3 years ago
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