<h3>
Answer: B) y = (1/28)x^2</h3>
Explanation:
p = focal distance = 7
the focal distance is from the vertex to the focus
The parabola opens upward (since the vertex is below the focus) so 'a' is positive and a = 1/(4p) = 1/(4*7) = 1/28
The vertex is (h,k) = (0,0)
Put this all together into the formula below and simplify
y = a(x-h)^2 + k
y = (1/28)(x - 0)^2 + 0
y = (1/28)x^2
Δ FCD is a right triangle ( 3² + 4² + 5² ).
10 : EB = 5 : 3
5 EB = 30
EB = 6
With Pythagorean theorem:
CE² = 10² - 6² = 10 - 36 = 64
CE = 8
ED = 5
AB = 2 · 5 = 10
Answer: The length of the side AB is 10.
Answer:
48
Step-by-step explanation:
x/3 - 6 = 10
+6 +6
x/3=16
16*3=48
Answer:
$450
Step-by-step explanation:
Let R be the hourly pay rate in dollars per hour. Hannah worked 10 hours and Zach worked 9 hours for a total of $950, so we get the equation:
10R + 9R = 950
Solve for R:
19R = 950
R = 50
Zach worked for 9 hours, so the total he earned is:
9 hours * 50 dollars/hour = $450
Answer:
- 8
Step-by-step explanation:
Note that 
is the slope of the tangent at x = a
Differentiate using the power rule
(a
) = na
Given
y = 3x² - 2x + 5, then
= 6x - 2
x = - 1 : = 6(- 1) - 2 = - 6 - 2 = - 8
