D = 11
Hope That Helped =D <span />
Answer:
Step-by-step Solution:
<u>Let's simplify the equation to find the value of x.</u>
<u>[Simplify the Distributive property]</u>
<u>[Subtract 6 both sides]</u>
<u>[Solve the RHS]</u>
<u>[Divide -12 both sides to isolate the variable]</u>
<u>[Simplify the fraction]</u>
Hence, the value of x is -7/4.
Answer:

Step-by-step explanation:
A hyperbola is the locus of a point such that its distance from a point to two points (known as foci) is a positive constant.
The standard equation of a hyperbola centered at the origin with transverse on the x axis is given as:

The coordinates of the foci is at (±c, 0), where c² = a² + b²
Given that a hyperbola centered at the origin with x-intercepts +/- 4 and foci of +/-2√5. Since the x intercept is ±4, this means that at y = 0, x = 4. Substituting in the standard equation:

The foci c is at +/-2√5, using c² = a² + b²:

Substituting the value of a and b to get the equation of the hyperbola:

Answer:
Step-by-step explanation:
The current endpoints are ...
V = (-9, 2)
W = (-3, 6)
Put each of these in the translation formula to see where the image points are.
(x, y) ⇒ (x+5, y-1)
(-9, 2) ⇒ (-9+5), 2-1) = (-4, 1) . . . . point V ⇒ V'
(-3, 6) ⇒ (-3+5, 6-1) = (2, 5) . . . . . point W ⇒ W'
The new end points are (-4, 1) and (2, 5), matching choices A and B.
Answer:
Step-by-step explanation:
a+pR^2-2pr^2, since R=15 and r=7.5
A=225p-112.5p
A=112.5p
a= 353.25ft^2