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sergeinik [125]
3 years ago
10

Four data sets are shown below.

Mathematics
1 answer:
aivan3 [116]3 years ago
5 0
Banana cupcake for dinner makes me wanna go swimming so its set 4 94 322
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The equation 9y-12x=36 is written in standard form what is the first step of the equation when writing an equivalent equation wh
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State if the triangle is acute obtuse or right​
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It should be obtuse.

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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
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Answer:

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

Step-by-step explanation:

Given:

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

A point on the circle is (x_1,y_1)=(-3, 2)

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

Using distance formula for the points (5, -4) and (-3, 2), we get

r^2=(5-(-3))^2+(-4-2)^2\\r^2=(5+3)^2+(-6)^2\\r^2=8^2+6^2\\r^2=64+36=100

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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Step-by-step explanation:

The increase of one variable which causes the other variable to increase points to a directly proportional relationship between the two variables. Similarly, the decrease of one variable will cause a decrease in the other variable.

One variable can also be the constant multiple of the other. This means that if one changes, the other one will change in PROPORTION to it.

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3 years ago
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