Sandra did, her bag was .20 pounds heavier than her friend’s.
5(x+1)=3x−9
Step 1: Simplify both sides of the equation.
5(x+1)=3x−9
(5)(x)+(5)(1)=3x+−9(Distribute)
5x+5=3x+−9
5x+5=3x−9
Step 2: Subtract 3x from both sides.
5x+5−3x=3x−9−3x
2x+5=−9
Step 3: Subtract 5 from both sides.
2x+5−5=−9−5
2x=−14
Step 4: Divide both sides by 2.
2x
2
=
−14
2
x=−7
K is the distance of the vertical translation.
Since you shifted the graph 7 units down, k will be equal to 7
So g(x) = (0.5)x - 7 is f(x) vertically translated 7 units down
If g(x) is obtained by shifting f(x) down by 7 units
meaning that
g(x)=(0.5)~~~~~7 units to the bottom from f(x)-k?
I can't explain but k=-7
it's g(x)=f(x)-(-7)
so the k=7.
f(x)-k=f(g)-7
the original function of f(x) is obtained by shifting f(g) 7 units down, or by -7
so x=7
Answer:
Correct answer: V = 82.5 in³
Step-by-step explanation:
This is a regular five sided prism.
Given:
The base edge a = 4 in
The radius of the inscribed circle or the height of an isosceles triangle
Ri = h = 2.75 in
Prism height H = 3 in
The base consists of five isosceles triangles
The area of one triangle is:
A₁ = a · h / 2
The area of the base is:
B = 5 · A₁ = 5 · a · h / 2
B = 5 · 4 · 2.75 / 2 = 27.5 in²
The volume of the prism is:
V = B · H = 27.5 · 3 = 82.5 in³
V = 82.5 in³
God is with you!!!
