Answer:
.
Step-by-step explanation:
The given function is 
.
When this function is translated to the right 7 units and down 9 units, then the equation becomes
.
Always remember that; 
is a transformation that translates the graph of c units to the right and k units down.
The correct choice is the first option.
Answer:
y = 3x + 19
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x - 8 ← is in slope- intercept form
with slope m = 3
Parallel lines have equal slopes , thus
y = 3x + c ← is the partial equation
To find c substitute (- 4, 7) into the partial equation
7 = - 12 + c ⇒ c = 7 + 12 = 19
y = 3x + 19 ← equation of parallel line
Answer:
36√3 + 144
Step-by-step explanation:
Given that,
base of the pyramid is an equilateral triangle with sides = 12
Formula to calculate total surface area of pyramid
<h3>
[Base Area] + 1/2 × Perimeter × [Slant Length]</h3>
Base Area
1/2 (height) (base)
1/2 (√12²-6²)(12)
6(6√3)
36√3
perimeter of base
sum of all sides = 12 + 12+ 12
= 36
slant height = √10²-6²
= 8
put all these values in the formula above
36√3 + 1/2(36)(8)
36√3 + 144
Total area for the pyramid with the equilateral base =
36√3 + 144
