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JulijaS [17]
3 years ago
15

Find the slope, if it exists, of the line containing the points (-4,0) and (-5,3)

Mathematics
1 answer:
NNADVOKAT [17]3 years ago
6 0

Answer:

2

Step-by-step explanation:

let (-4,0) be (x1,y1) and (-5,3) be (x2,y2)

slop formula = <u>y2-y1</u>

x2-x1

=(3-0)+(-5-(-4))

=3+(-5+4)

=3+(-1)

=3-1

=2

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After plotting all the three points, we get the parabolic equation in the form is 2(x - 1)²-34.

<h3>What is parabola?</h3>

Any point on a parabola, which has the shape of a U, is situated at an equal distance from the focus, a fixed point, and the directrix, a fixed line.

General equation of the quadratic equation,

Y = ax² + bx +c

Given points,

(-2, 0),

(-1, -10),

(4, 0).

Putting the points in the general equation,

Putting (-2, 0), we get

0 = 4a - 2b + c

Putting (-1, -10), we get

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Putting (4, 0), we get

0 = 16a + 4b +c

Solving all equations we get,

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5 0
1 year ago
Match the solid figure to the appropriate formula.
AlekseyPX

1. L \cdot A=\pi r l        -       Cone

2. V=\frac{4}{3} \pi r^{3}         -        Sphere

3. T \cdot A=2 \pi r h+2 \pi r^{2} - Cylinder

4. V=\frac{1}{3} B h         -        Pyramid

5. L . A=p h         -        Prism

Solution:

1. L \cdot A=\pi r l

Lateral surface area of cone = \pi r l

where r is the radius of the cone and l is the slant height of the cone.

2. V=\frac{4}{3} \pi r^{3}

Volume of sphere = \frac{4}{3} \pi r^{3}

where r is the radius of the sphere.

3. T \cdot A=2 \pi r h+2 \pi r^{2}

Total surface area of cylinder = 2 \pi r h+2 \pi r^{2}

where r is the radius of the cylinder and h is the height of the cylinder.

4. V=\frac{1}{3} B h

Volume of pyramid = \frac{1}{3} B h

where B is the base area of the pyramid and h is the height of the pyramid.

5. L . A=p h

Lateral surface area of prism = p h

where p is the perimeter of the base and h is the height of the prism.

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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