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Margaret [11]
3 years ago
13

Write the equation in general form of the circle with the given properties.

Mathematics
2 answers:
ser-zykov [4K]3 years ago
7 0
This question has been answered before by someone else.
If the answer provided did not suit your teacher/computer, it might be that the standard form is required, which is the first line of the previous response:

Equation of circle centred at (a,b) with radius r is:
(x-a)^2+(y-b)^2=r^2

with (a,b)=(8,7), i.e. a=8, b=7,  and r=9, the equation of the circle becomes

(x-8)^2+(y-7)^2=9^2
OR
<span>(x-8)^2+(y-7)^2=81</span>
schepotkina [342]3 years ago
5 0
 The equation of a circle with center (8,7) and radius 9 is as follows:

(x-8)^2+(y-7)^2=9^2

Multiplying this equation out will give us the general form of the equation of the circle.

(x-8)^2+(y-7)^2=9^2 \\ (x-8)(x-8)+(y-7)(y-7)=81 \\ (x^2-16x+64) + (y^2 -14x + 49) = 81 \\ x^2-16x+64 + y^2 -14x + 49 = 81

Simplify to get your answer:

x^2+y^2 -16x-14y + (49+64) = 81 \\&#10;x^2+y^2 -16x-14y + 113 = 81
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Solve by using any method of substitution<br><br>4 +8x = y <br>6x - y = 2
Bumek [7]

Answer:

(-3,-20)

Step-by-step explanation:

4 +8x = y ...... equation (1)

6x - y = 2 ........equation(2)

from equation 2

6x - y = 2

6x -(4+8x) =2

6x - 4 + 8x = 2

    +4              +4

6x - 8x = 6

-2x=6

divide by -2

x= -3

put x in equation (1) to solve for y

4 + 8x = y

4+8(-3)=y

4-24=y

-20=y

y= -20

solution = (-3,-20)

8 0
3 years ago
Help me with these questions plz
UkoKoshka [18]
First, this shoudnt be in mathematics and second, i think this is socila studies.
4 0
3 years ago
A triangle has two sides of length 9 and 14 what is the smallest possible whole number length for the third side
melisa1 [442]

Let the third side = x.

The sum of any two sides must be greater than the third side

14 + 9 > x

  23 > x

14 + x > 9

   x > -5

9 + x > 14

   x > 5

So 5 < x < 23

6 0
3 years ago
What is the horizontal asymptote for y(t) for the differential equation dy dt equals the product of 2 times y and the quantity 1
marta [7]
First, we need to solve the differential equation.
\frac{d}{dt}\left(y\right)=2y\left(1-\frac{y}{8}\right)
This a separable ODE. We can rewrite it like this:
-\frac{4}{y^2-8y}{dy}=dt
Now we integrate both sides.
\int \:-\frac{4}{y^2-8y}dy=\int \:dt
We get:
\frac{1}{2}\ln \left|\frac{y-4}{4}+1\right|-\frac{1}{2}\ln \left|\frac{y-4}{4}-1\right|=t+c_1
When we solve for y we get our solution:
y=\frac{8e^{c_1+2t}}{e^{c_1+2t}-1}
To find out if we have any horizontal asymptotes we must find the limits as x goes to infinity and minus infinity. 
It is easy to see that when x goes to minus infinity our function goes to zero.
When x goes to plus infinity we have the following:
$$\lim_{x\to\infty} f(x)$$=y=\frac{8e^{c_1+\infty}}{e^{c_1+\infty}-1} = 8
When you are calculating limits like this you always look at the fastest growing function in denominator and numerator and then act like they are constants. 
So our asymptote is at y=8.

3 0
3 years ago
How much will Alexis earn if she earns $8.60 per hour, works 8 hours, and has payroll deductions of $16.51?
S_A_V [24]
Ans: $52.29 for 8 hrs
8.60 tims 2 minus 16.51
3 0
3 years ago
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