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fredd [130]
2 years ago
6

Please help me Will give you brainly

Mathematics
2 answers:
Ket [755]2 years ago
8 0

9514 1404 393

Answer:

  a) y = -18x +200

  b) 38 gallons

Step-by-step explanation:

<h3>a)</h3>

The slope formula can be used to find the slope:

  m = (y2 -y1)/(x2 -x1)

  m = (110 -137)/(5 -3.5) = -27/1.5 = -18

The y-intercept can be found from ...

  b = y -mx = 110 -(-18)(5) = 200

The slope-intercept equation describing the relation is ...

  y = -18x +200

__

<h3>b)</h3>

After 9 hours, the amount of gas remaining is ...

  y = -18(9) +200 = -162 +200 = 38 . . . gallons remaining

AysviL [449]2 years ago
4 0

Answer:

jgdrgj u er gotta run if f c vbjt q r7ijhgf

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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

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-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

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