Given the equation of the circle x2+6x+y2=7 use completing the square and factoring to write the equation in standard form

1 answer:

8 0

<span>x2+6x+y2=7

We add 9 to each side of the equation
</span>
x2+6x+y2 + 9 =7 <span>+ 9</span>

(x+3)**2 + (y+0)**2 = 16

(x+3)**2 + (y+0)**2 = 4**2 (Standard form)

You might be interested in

Which inequality is represented by the graph ??pls help:)?

Sedbober [7]

It’s the one to the right I hope that helps

4 0

2 years ago

A bus has velocity 20 m/s towards east and another bus has velocity 15 m/s in west direction. If they start to move from a point

Mashutka [201]

Answer:

<em>The first bus has covered 2,400 m and the second bus has covered 1,800 m. They are separated by 4,200 m</em>

Step-by-step explanation:

<u>Constant Velocity Motion</u>

A bun has a velocity of 20 m/s towards the east. It means it travels 20 meters each second in that direction. Assuming the east direction is positive, the distance traveled by this bus can be calculated as follows:

X1=20*t

Where t is the time in seconds.

Similarly, the distance traveled by the second bus towards the west is:

X2=-15*t

Note the negative sign because the direction points at the negative reference.

After 2 minutes = 120 seconds have passed, the distance of each bus is

X1= 20*120=2,400 m

X2=-15*120 = 1,800 m

They are separated by 2,400-(-1,800) = 4,200 m

The first bus has covered 2,400 m and the second bus has covered 1,800 m. They are separated by 4,200 m

6 0

3 years ago

State the property or properties of logarithms used to rewrite the expression.

Korvikt [17]

Answer:

The answer is option A.

<h3>Power Property and Product </h3><h3>Property</h3>

Hope this helps you

6 0

2 years ago

Need math help asap please! :/ thanks

Dominik [7]

The rule to remember about generating the perpendicular family to a line is we swap the coefficients on and x and y, remembering to negate one of them. Then the constant is set directly from the intersecting point.

So we have

y = 3x + 2

-3x + 1y = 2

Swapping and negating gets the perpendiculars; the constant is as yet undetermined.

1x + 3y = constant

Since we want to go through (0,2), we could have just written

x + 3y = 0 + 3(2) = 6

3y = -x + 6

y = (-1/3) x + 2

Third choice

5 0

3 years ago