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nordsb [41]
2 years ago
5

Find the equation of a circle with a center at (7,2) and a point on the circle at (2,5)?

Mathematics
1 answer:
monitta2 years ago
4 0

Answer:

(x-7)^2+(y-2)^2=34

Step-by-step explanation:

We want to find the equation of a circle with a center at (7, 2) and a point on the circle at (2, 5).

First, recall that the equation of a circle is given by:

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

Where (<em>h, k</em>) is the center and <em>r</em> is the radius.

Since our center is at (7, 2), <em>h</em> = 7 and <em>k</em> = 2. Substitute:

(x-7)^2+(y-2)^2=r^2

Next, the since a point on the circle is (2, 5), <em>y</em> = 5 when <em>x</em> = 2. Substitute:

(2-7)^2+(5-2)^2=r^2

Solve for <em>r: </em>

<em />(-5)^2+(3)^2=r^2<em />

Simplify. Thus:

25+9=r^2

Finally, add:

r^2=34

We don't need to take the square root of both sides, as we will have the square it again anyways.

Therefore, our equation is:

(x-7)^2+(y-2)^2=34

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HURRYY!!! Identify the zeros of f(x) = (x − 3)(x + 9)(4x − 3).
tiny-mole [99]

Answer:

The value of x is -9, 3/4 and 3.

Step-by-step explanation:

In order to find the value of x, tou have to let f(x) equals to 0 :

Let f(x) = 0,

(x-3)(x+9)(4x-3) = 0

x - 3 = 0

x = 3

x + 9 = 0

x = -9

4x - 3 = 0

4x = 3

x = 3/4

7 0
3 years ago
When a figure is dilated what type of figure is created
garik1379 [7]
Dilation- A figure that grows or shrinks but still maintains its very shape.
6 0
3 years ago
You earn $20 per hour doing landscaping work. Your total earnings depend on the amount of hours you spend landscaping.
Sonbull [250]

Answer:

x: $20 an hour independent variable

y: total amount dependent variable

y = $20x

3 0
3 years ago
a pack of toy cars contains 12 cars. if sylvia buys some packs, what are two possible numbers of cars that she could buy?
Ainat [17]

1 pack = 12 cars

2 packs = 24 cars

3 packs = 36 cars

4 packs = 48 cars

5 packs = 60 cars

6 packs = 72 cars

Basically, add 12 * x = The number of cars

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6 0
3 years ago
Please help me( ´人` )
myrzilka [38]

Answer:

D

Step-by-step explanation:

First let's list down the formulas we will be using.

Area of Quadrant = 1/4 x Area of Circle

= \frac{1}{4} \pi r^{2}

Area of Part of a circle = (θ/360)\pi r^{2}

First, we will find Angle QOT.

Angle QOT = 360 - 231 = 129

Area of ORST = \frac{129}{360} \pi (21)^{2} \\=\frac{6321}{40} \pi cm^{2}

Next we know that, Q is midpoint of OR, therefore OQ = QR

and OQ = 0.5 * OR

OQ = 0.5 * 21 = 10.5cm = radius of Quadrant QOP

Area of Quadrant QOP = \frac{1}{4} \pi (10.5)^{2} \\=\frac{441}{16} \pi cm^{2}

Lastly,

Area of Shaded Region = Area of ORST - Area of Quadrant QOP

= \frac{6321}{40} \pi -\frac{441}{16} \pi \\= 409.86cm^{2}

Similar to the other question you asked, choose the closes answer as there might be some rounding differences. I kept it in fractions as it will ensure maximum precision.

8 0
2 years ago
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