Answer:
The center is (2,8)
Step-by-step explanation:
The equation of a circle is written as
(x-h)^2+ (y-k)^2 = r^2
where ( h,k) is the center and r is the radius
(x-2)^2+(y-8)^2=33
The center is (2,8) and the radius is sqrt(33)
Answer:
$13.6
Step-by-step explanation:
Jane bought 3 CDs that were each the same price. So let the price of each CD be ‘x’.
It is given that including sales tax, she paid a total of $45.30.
Also each CD had a tax of $1.50. We need to find out what the price of each CD was before tax.
Since the tax for all 3 CDs was same, the total amount of tax that she paid was:
3 * 1.50 = 4.50
Therefore the total tax on 3 CDs is $4.50
Since we already know the total price she paid for the CDs including taxes, we can find the price of each CD by the following way:
3x + 4.50 = 45.30
3x = 45.30 - 4.50
3x = 40.8
x = 13.6
Therefore the price of each CD before tax is $13.6.
Answer:
T = 67.5
V = 22.5
Step-by-step explanation:
The Sum of triangle angles = 180
180 = W + T + V
180 = 90 + 3X + X
X = 22.5
Answer:
If you just add them together you get 13
Step-by-step explanation:
11. x² - 7x = 0
x(x) - x(7) = 0
x(x - 7) = 0
x = 0 or x - 7 = 0
+ 7 + 7
x = 7
Solution Set: {0, 7}
12. 3x² - 4x = 20x + 27
+ 4x + 4x
3x² = 24x + 27
3x² - 24x - 27 = 0
x = -(-24) ± √((-24)² - 4(3)(-27))
2(3)
x = 24 ± √(576 + 324)
6
x = 24 ± √(900)
6
x = 24 ± 30
6
x = 4 ± 5
x = 4 + 5 or x = 4 - 5
x = 9 or x = -1
Solution Set: {9, -1}
