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cricket20 [7]
3 years ago
12

Find the equation of a line with a slope of -4 that passes through the point (-3, 8).

Mathematics
1 answer:
Nata [24]3 years ago
6 0

Answer:

The equation of line is y = -4x -4.

Step-by-step explanation:

Given that:

Slope of the line = -4

Line passes through the point ( -3, 8)

The general equation of line is given by;

y - y1 =m(x-x1)

Putting the point and slope in equation

y - 8 = -4(x - (-3))

y - 8 = -4(x+3)

y - 8 = -4x - 12

y = -4x - 12 + 8

y = -4x -4

Hence,

The equation of line is y = -4x -4.

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Determine the equation of a circle whose diameter has the endpoints (-1, 2) and (7.
Viefleur [7K]

Answer:

(x - 3)^2 + (y + 1) = 25

Step-by-step explanation:

First find the midpoint of the diameter, because that represents the center of the circle.

                                                                     -1 + 7

The x-coordinate of the midpoint is xm = ---------- = 3

                                                                          2

                                                 2 - 4

and the y-coordinate is ym = ---------- = -1

                                                     2

And so the center of this circle is at (3, -1).

Use the Pythagorean Theorem to determine the square of the radius:

square of radius = 4^2 + (-3)^2 = 16 + 9 = 25

And so the equation of this circle is (x - 3)^2 + (y + 1) = 25

5 0
3 years ago
Read 2 more answers
the lowest temperature ever recorded on earth's surface was −128.5°f. the highest temperature was 262.5°f higher than the lowest
vlabodo [156]

Answer: 134 °f

Step-by-step explanation:

Lowest is -128.5 °f, the highest is 262.5 °f higher than the lowest.

you would simply add 262.5 °f to your -128.5 °f, giving you 134 °f.

another way of doing this is subtracting 128.5 from 262.6

5 0
3 years ago
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A circle is divided into three arcs of measures x 2x and 3x what’s the value of x
lidiya [134]

Answer:

60°

Step-by-step explanation:

This questions tests our knowledge on arcs and arc measures.

-Arc measure is the angle that an arc makes with the circle's center.

-The arc measure is proportional to the arc.

#The sum of the 3 arcs is x+2x+3x=6x

Given a circle has 360°, the arc measurement x can be calculated as:

[x+2x+3x]=360\textdegree\\\\6x=360\textdegree\\\\x=60\textdegree

Hence, the arc measurement x is 60°

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3 years ago
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Answer:

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Step-by-step explanation:

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2 years ago
Seven pounds of grapes cost $10.43 how much would it cost for 3 pounds
lozanna [386]
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3. So, 3 pounds of grapes would cost $4.47

Hope this helps!
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