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3 years ago

11. What is the center of the circle (x - 2)2 + (y + 6)2 = 25?

Mathematics

1 answer:

Tanya [424]3 years ago

4 0

If you’re solving for x, it’s x= 17/2 - y
If you’re solving for y, it’s y= 17/2 - x

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Y= - x+2 Y=3x-4<br> Estimate the solution to the system of equations

IrinaVladis [17]

Answer:

$x=\frac{3}{2}\\ y=\frac{1}{2}$

Step-by-step explanation:

$y=-x+2\\y=3x-4$

Let's solve one of them for x.

$y=3x-4$

Add 4

$y+4=3x$

Divide by 3.

$x=\frac{y+4}{3}$

Now, plug the value of y in the formula, or you can plug the value of x in the other equation. I'll take this one.

$x=\frac{y+4}{3}$

$x=\frac{(-x+2)+4}{3}$

$x=\frac{-x+2+4}{3}$

$x=\frac{-x+6}{3}$

Multiply by 3 to get rid of the denominator.

$3x=-x+6$

add x

$3x+x=6$

Combine like terms;

$4x=6$

Divide by 4.

$x=\frac{6}{4}$

Simplify.

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

Now that you found the value of x, replace it in any of the equations to find y.

$y=-x+2\\y=-(\frac{3}{2})+2\\ y=-\frac{3}{2}+2$

$y=\frac{-3+2*2}{2} \\y=\frac{-3+4}{2} \\y=\frac{1}{2}$

Proof:

$y=3x-4\\\frac{1}{2}=3(\frac{3}{2})-4\\\frac{1}{2}=(\frac{9}{2})-4$

$\frac{1}{2}=\frac{9-4*2}{2}$

$\frac{1}{2}=\frac{9-8}{2}$

$\frac{1}{2}=\frac{1}{2}$

8 0

3 years ago

Need help!! what is the ewuation of the like shown?

Marta_Voda [28]

Answer:

<em><u>An</u></em> equation is y = 2x + 4.

Step-by-step explanation:

<em><u>ANOTHER</u></em> equation is y - 2 = 2(x + 1)

4 0

3 years ago

HELP!! What is the approximate measure of angle x in the triangle shown?

Alex Ar [27]

<h3>Answer: D) 130.5 degrees</h3>

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Work Shown:

$c^2 = a^2 + b^2 - 2*a*b*\cos(C)\\\\10^2 = 5^2 + 6^2 - 2*5*6*\cos(x)\\\\100 = 25 + 36 - 60*\cos(x)\\\\100 = 61 - 60*\cos(x)\\\\100 - 61 = - 60*\cos(x)\\\\39 = - 60*\cos(x)\\\\\cos(x) = \frac{39}{-60}\\\\\cos(x) = -0.65\\\\x = \arccos(-0.65)\\\\x \approx 130.5416\\\\x \approx 130.5\\\\$

Note: I used the law of cosines. Make sure your calculator is in degree mode.

6 0

3 years ago

I need help, it explains what to do but i still don't get it. ://

Ksju [112]

112-88 = 24

they save $24 per month

so 650/24 = 27.083

so it will pay for itself in 27.083 months, round up to 28 months

8 0

3 years ago

Round to the nearest 10th if necessary

Lana71 [14]

Answer:

38.7°.

Step-by-step explanation:

from trigonometrical ratios

SO TO CA

H A H.

Tan°=opposite/adjacent.

Tan°=48/60

Tan°=0.8000

°= Tan-1(0.8000)

°=38.65°≈38.7°

6 0

3 years ago

11. What is the center of the circle (x - 2)2 + (y + 6)2 = 25?​

11. What is the center of the circle (x - 2)2 + (y + 6)2 = 25?