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Lady_Fox [76]
3 years ago
11

What is the solution to the given system of equations?

Mathematics
2 answers:
marin [14]3 years ago
8 0
Hi!

See my image for the answer.

I put each of the choices into the equation, then solved it.

The answer is B. (4,-12)

Hope this helps! :)
-Peredhel

lukranit [14]3 years ago
6 0

If both those equations are equal to y, then that means by the transitive property, they are equal to each other. We set them equal to each other and solve for x. 4x - 28 = 1.5x - 18. Subtract 1.5x from both sides to get 2.5x = 10 and x = 4. Now sub that value in for x into one of the original equations to find y: y=4(4)-28 and y = 16 - 28 so y = -12. Your solution to that system is (4, -12), B

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marishachu [46]

Answer:

b

Step-by-step explanation:

4 0
3 years ago
The purple shape is a dilation of the black shape. Is it an enlargement or reduction?
Zarrin [17]
The answer is a enlargement
6 0
3 years ago
Find the center of a circle with the equation: x2 y2−32x−60y 1122=0 x 2 y 2 − 32 x − 60 y 1122 = 0
mixas84 [53]

The equation of a circle exists:

$(x-h)^2 + (y-k)^2 = r^2, where (h, k) be the center.

The center of the circle exists at (16, 30).

<h3>What is the equation of a circle?</h3>

Let, the equation of a circle exists:

$(x-h)^2 + (y-k)^2 = r^2, where (h, k) be the center.

We rewrite the equation and set them equal :

$(x-h)^2 + (y-k)^2 - r^2 = x^2+y^2- 32x - 60y +1122=0

$x^2 - 2hx + h^2 + y^2 - 2ky + k^2 - r^2 = x^2 + y^2 - 32x - 60y +1122 = 0

We solve for each coefficient meaning if the term on the LHS contains an x then its coefficient exists exactly as the one on the RHS containing the x or y.

-2hx = -32x

h = -32/-2

⇒ h = 16.

-2ky = -60y

k = -60/-2

⇒ k = 30.

The center of the circle exists at (16, 30).

To learn more about center of the circle refer to:

brainly.com/question/10633821

#SPJ4

7 0
2 years ago
Determine how far the vehicle travels in 3 hours.
tresset_1 [31]

Answer:

90 miles

Step-by-step explanation:

1 1/2 is half of 3 so just multiply 45 by two

8 0
2 years ago
Please try to explain the answer and I'll mark the Brainliest.
laiz [17]

Inside a triangle, all inside angles add up to 180°

So, add the two angles:

26.4°+33.7°=60.1°

180°-60.1°=119.9°

b=119.9°

6 0
3 years ago
Read 2 more answers
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