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3 years ago

Write the standard equation for a circle with center (−6, −8), that passes through (0, 0)

1 answer:

7 0

Standard equation: (x-h)^2 + (y-k)^2 = r^2

Here, (0-[-6])^2 + (0-[-8])^2 = r^2
Find r: 36 + 64 = 100, so r = 10

Then the desired equation is (x+6)^2 + (y+8)^2 = 10^2

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On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 3, 1) and (0, 3). Everything to th

miss Akunina [59]

Answer:

$y> \frac{2}{3}x+3$

Step-by-step explanation:

we have the points

(-3,1) and (0,3)

step 1

Find the slope m of the line

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{3-1}{0+3}$

$m=\frac{2}{3}$

step 2

Find the equation of the line in slope intercept form

$y=mx+b$

we have

$m=\frac{2}{3}$

$b=3$ ----> the y-intercept is the point (0,3)

substitute the values

$y=\frac{2}{3}x+3$

step 3

Find the equation of the inequality

we know that

The slope is positive

Everything to the left of the line is shaded ( The inequality is of the form y > ax+b or y ≥ ax+b)

Is a dashed line (The inequality is of the form y > ax+ b or y < ax+b)

therefore

The equation of the inequality is of the form y > ax+b

The inequality is

$y> \frac{2}{3}x+3$

see the attached figure to better understand the problem

4 0

3 years ago

Read 2 more answers

I need help with geometry plz

Softa [21]

Answer:

Point A is -2, 1

Point B is -4, -2

Point C is -4, -6

and D is -1, 3.

Step-by-step explanation:

Irdk if this is all right bcz its kinda hard to see the exact points. Hope it is tho, and hope it helps you out! Good luck :P

4 0

3 years ago

the probability that a new microwave oven will stop working in less than 2 years is 0.05. the probability that a new microwave o

GrogVix [38]

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3 years ago

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Fittoniya [83]

You really just have to do 12.4 x 2 = 24.8 because half of 24.8 is 12.4.

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3 years ago

Find the volume of the figure.

Andre45 [30]

Answer:

Step-by-step explanation:

1. Base x Height x Length

1 x 4 x 3= 12

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3 years ago