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3 years ago

What is the difference? 2x 7 - 8x 7 a. -6x 14 b. 10x 7 c. -16x 7 d. -6x 7

Mathematics

1 answer:

spayn [35]3 years ago

5 0

$2x^{7}-8x^{7}=-6x^{7}$

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3 years ago

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Write the equation of the circle with center (-4, 8) and passes through the point (-2, -1)

anzhelika [568]

Answer:

$(x+4)^2+(y-8)^2=85$

Step-by-step explanation:

The standard equation for a circle is given by:

$(x-h)^2+(y-k)^2=r^2$

Where (h, k) is the center and r is the radius.

We know that the center is (-4, 8). So, substitute -4 for h and 8 for k:

$(x-(-4))^2+(y-8)^2=r^2\\$

Simplify:

$(x+4)^2+(y-8)^2=r^2$

Now, we will need to find r.

We know that it passes through the point (-2, -1). So, we can substitute -2 for x and -1 for y and solve for r. So:

$(-2+4)^2+(-1-8)^2=r^2$

Evaluate:

$(2)^2+(-9)^2=r^2$

Square:

$4+81=r^2$

Add:

$r^2=85$

So, r squared is 85.

We don’t actually have to solve for r itself, since we will have to square it anyways.

So, we have:

$(x+4)^2+(y-8)^2=r^2$

Substituting 85 for r squared, we get:

$(x+4)^2+(y-8)^2=85$

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2 years ago

Does anyone know how to Solve the system of equations. −3x+y=2 7x−8y=1

Fantom [35]

You could use the substitution method. in this you’ll solve one equation for one variable. we’ll do the first one for y.
add 3x to both sides, so y = 3x + 2
then add that into the other equation for y.
7x - 8(3x +2) = 1
7x- 24x - 16 = 1
-17x - 16 = 1
-17x = 17
x= -1
now that you know what x is, you can find out y with the equation we made earlier. y = 3x+2
y = 3(-1) + 2
y = -3 + 2
y = -1

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2 years ago