The equation of a circle is <em>(x-h)^2+(y-k)^2=r^2</em>, where <em>(h,k)</em> is the center and <em>r</em> is the radius. Our equation will be (x-3)^2+(y+2)^2=25 (remember to always square the radius).
:)
Answer:
= 
Step-by-step explanation:
Given: 
We have to find the value of the given fraction which can be done by dividing the denominator value with the numerator value

The power of 8 is '1', so, the value of numerator is 8.

The value of the fraction is calculated by dividing 3 by 8.
= 
Answer:
The solution to the system of equations is y = -5 and x = -2.
Step-by-step explanation:
The question tells us to use substitution to solve the system. This means that the given value for x (in terms of y) should be substituted into the other equation. This is modeled below:
-4y - 5x = 30
-4y - 5(y+3) = 30
Next, we should use the distributive property to simplify the left side of the equation.
-4y -5y - 15 = 30
The next step is to combine like terms on the left side of the equation.
-9y - 15 = 30
Then, we can add 15 to both sides of the equation.
-9y = 45
Finally, we can divide both sides of the equation by -9.
y = -5
To find the value for x, we substitute in the value we just found for y into either of our original equations.
x = y + 3
x = -5 + 3
x = -2
Therefore, the correct answer is y = -5 and x = -2.
Hope this helps!
She would have paid 1,575 dollars plus the 800 down payment. The total would be $2,375.
Answer:
9.3 inches
Step-by-step explanation:
The computation of the radius of the spinner be given below:
Let us assume the same be x
So
We know that
Total area of the sector = one-sixth of the total area of the spinner
Given that
45.1 = 1 ÷ 6 × π × r^2
r^2 = 45.1 × 6 ÷ π
r^2 = 86.1
r = 9.279
= 9.3 inches