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yarga [219]
3 years ago
7

Write the standard form of the equation of a circle with radius 10 and center (9,3)

Mathematics
1 answer:
gladu [14]3 years ago
8 0

Answer:

(x-9)^{2}+(y-3)^{2} =100

Step-by-step explanation:

The standard form formula for a circle equation is  (x-h)^{2}+(y-k)^{2} =r^{2}, where (h,k) represents the center of the circle, and r represents the radius.

r=10

(h,k)= (9,3)

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

(x-9)^{2}+(y-3)^{2} =10^{2}\\(x-9)^{2}+(y-3)^{2} =100

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MariettaO [177]

\qquad\qquad\huge\underline{{\sf Answer}}

Let's find out the gradient (Slope " m ") of line q ;

\qquad \sf  \dashrightarrow \:m = \dfrac{y_2 - y_1}{x_2 - x_1}

\qquad \sf  \dashrightarrow \:m = \dfrac{4 - 0}{0 - 1}

\qquad \sf  \dashrightarrow  \:m =  - 4

Now, since we already know the gradient let's find of the equation of line by using its Slope and one of the points using point slope form of line :

\qquad \sf  \dashrightarrow \:y - 4 = m(x - 0)

\qquad \sf  \dashrightarrow \:y = mx + 4

Now, plug in the value of gradient ~

\qquad \sf  \dashrightarrow \:y =  - 4x + 4

here we can clearly observe that, the Area under the curve can easily be represented as :

\qquad \sf  \dashrightarrow \:y <  - 4x + 4

Since, all the values of y that lies in the shaded region is smaller than the actual value of y for the corresponding values of x in the equation of line q

5 0
2 years ago
What is the value of x in the equation 3x – 4y = 65, when y = 4? x = 23 x = 27 x=13 1/4 x=21 2/3
Vikki [24]

x=27




hope thats helpful

8 0
3 years ago
Can you help me with this?
amid [387]
The answer is 1:60 no it’s wrong
4 0
3 years ago
Given that f(x) = x² + 4x, evaluate f(-2). -4 -8 -12
Aleks [24]
<span>f(x) = x² + 4x
so
</span><span>f(-2) = (-2)² + 4(-2)
f(-2) = 4 - 8
f(-2) = -4

answer
-4</span>
6 0
3 years ago
Read 2 more answers
What is the value of the expression below?
sergejj [24]

Answer:

  B  15 1/2

Step-by-step explanation:

It evaluates to ...

  7 + 12 -(3 1/2) = 15 1/2 . . . . matches selection B

_____

Your calculator can help you with questions like this.

4 0
3 years ago
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