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2 years ago

Solve for x. −3(6−x)=51 Enter your answer in the box.

Mathematics

2 answers:

djyliett [7]2 years ago

7 0

Answer:

x=23

Step-by-step explanation:

1. -18+3x=51

2. 3x=51+18

3. 3x=69

4. x=23

ahrayia [7]2 years ago

6 0

Answer:

the answer is x=23

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3 years ago

Type the correct answer in each box. A circle is centered at the point (5, -4) and passes through the point (-3, 2). The equatio

Galina-37 [17]

Answer:

$(x+ \boxed{-5})^2+(y+\boxed4)^2=\boxed{100}$

Step-by-step explanation:

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Center of circle is at (5, -4).

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Equation of a circle with center $(h,k)$ and radius 'r' is given as:

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

Here, $(h,k)=(5,-4)$

Radius of a circle is equal to the distance of point on the circle from the center of the circle and is given using the distance formula for square of the distance as:

$r^2=(h-x_1)^2+(k-y_1)^2$

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Therefore, the equation of the circle is:

$(x-5)^2+(y-(-4))^2=100\\(x-5)^2+(y+4)^2=100$

Now, rewriting it in the form asked in the question, we get

$(x+ \boxed{-5})^2+(y+\boxed4)^2=\boxed{100}$

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3 years ago