Answer:
(x - 8)^2 + y^2 = 3.
Step-by-step explanation:
(x - h)^2 + (y - k)^2 = r^2
Here h = 8, k = 0 and r^2 = (√3)^2 = 3
The answer is (x - 8)^2 + (y - 0)^2 = 3
or (x - 8)^2 + y^2 = 3.
Answer:
The answer is 
Step-by-step explanation:
The expression is
![\frac{7\pi }{12}^{c}\\= \frac{7\pi }{12}*\frac{180}{\pi }^{0} \,;[1^{c}=\frac{180}{\pi}^{0}]\\=7*15\\=105^{0}](https://tex.z-dn.net/?f=%5Cfrac%7B7%5Cpi%20%7D%7B12%7D%5E%7Bc%7D%5C%5C%3D%20%5Cfrac%7B7%5Cpi%20%7D%7B12%7D%2A%5Cfrac%7B180%7D%7B%5Cpi%20%7D%5E%7B0%7D%20%5C%2C%3B%5B1%5E%7Bc%7D%3D%5Cfrac%7B180%7D%7B%5Cpi%7D%5E%7B0%7D%5D%5C%5C%3D7%2A15%5C%5C%3D105%5E%7B0%7D)
Hope you have understood this....
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Answer:
Step-by-step explanation:
The sides of a 30-60-90 triangle are in the ratio 1:√3:2
The side opposite the 30° angle is (12√6)÷2 = 6/√6.
The side opposite the 60° angle is √3×6/√6 = 6/√2 =3√2.
The sides of a 45-45-90 triangle are in the ratio 1:1:√2
The hypotenuse is 3√2, so the side opposite the 45° angle is 3.
x = 3
Answer:
Step-by-step explanation:
1.) Get the equation in the form y = ax^2 + bx + c.
2.) Calculate -b / 2a. This is the x-coordinate of the vertex.
3.) To find the y-coordinate of the vertex, simply plug the value of -b / 2a into the equation for x and solve for y. This is the y-coordinate of the vertex.
1.) y = -x^2 - 10x + 24
2.) -(-10) / 2(-1) = -5
3.) y = -(-5)^2 - 10(-5) + 24
y = -25 + 50 + 24
y = 49