The answer is a.
When you are solving problems like this you would use the equation y^2=4ax. The x and Y would be the coordinates. Based on the equation you have given the coordinates would be (6,12) and (6,-12), (24 is split up evenly between the y-axis).
Then we go on to solve the equation by plugging in the numbers 12^2=4a(6)
144=24a
144/24=24a/24
6=a
Answer:
Step-by-step explanation:
Unfortunately, you have not shared function g(x). But I can focus on questions involving function f(x) alone:
A: We can find the x-coordinate of the minimum of f by calculating x = -b/(2a). Here that comes out to x = 5/2*1) = 5/2. This does not agree with A. A is FALSE.
B: Function g(x) unknown; cannot answer this.
C: The y-intercept of function f(x) is 6. That of g(x) is unknown.
D: The y-intercept of function f(x) is 6. That of g(x) is unknown
Answer:
Raul's age is 15 years.
Step-by-step explanation:
r represents Raul's age.
The number of years from the start of the Great Depression to the first presidential election of Richard Nixon is six years less than three times Raul's age.
The first presidential election happened 39 years after the Great Depression and six years less than three times Raul's age is 3r - 6.
Therefore, 3r - 6 = 39
Add 6 to both sides.
3r = 45
Divide both sides by 3.
r = 15
Hence, Raul's age is 15 years.
Answer:
(-2,-5)A (-6,-3)
Step-by-step explanation:
Just add a negative sign to the coordinates.
Answer:
Circumcenter O (0.5 , 5)
Step-by-step explanation:
Circumcenter O (x , y)
OA = OB = OC
OA² = (x + 4)² + (y - 3)²
OB² = (x - 5)² + (y - 7)²
OC² = ( x + 4)² + (y - 7)²
OA² = OC² : (x + 4)² + (y - 3)² = ( x + 4)² + (y - 7)²
(y - 3)² = (y - 7)² y² - 6y + 9 = y² -14y + 49
8y = 40
y = 5
OB² = OC² : (x - 5)² + (y - 7)² = ( x + 4)² + (y - 7)²
x² - 10x + 25 = x² + 8x + 16
18x = 9
x = 0.5
Circumcenter O (0.5 , 5)
