Yes, your work is correct.
The diagram does illustrate x²+6x+9=72. This is also represented by
(x+3)² = 72
We can take the square root of both sides:

When we evaluate this, the answers are x = -11.5 or x = 5.5.
Answer:
90 red pens
Step-by-step explanation:
we need to find the least common multiple of the numbers 3 , 5 , 6 , 9
6 = 2 × 3
9 = 3²
then
LCM(3,5,6,9) = 2×5×3² = 2×5×9 = 90
The number 90 can be divided into 3 ,5 ,6 ,9 with no remainder
Therefore the pack must have 90 pens or a multiple of 90
For example 180 , 270 ...
Answer: 53/5, 101/20
Step-by-step explanation:
10.6 is = 106/10. Then divide both numerator and denominator by 2. Then it equals 53/5.
5.05 = 505/100. Then divide both numerator and denominator by 5. This will equal 101/20.
Option C is correct
The value of h(f(x)) is, x
Inverse function:
An inverse function that undergoes the other function.
For example: if f(x) is the inverse of g(x) then;
for every x.
As per the statement:
If h(x) is the inverse of f(x).
by definition of inverse:
Therefore, the value of h(f(x)) is, x
Answer:
Answers are below
Step-by-step explanation:
12) No because the scale factor is not the same between the two rectangles
13) Yes. TUV is congruent to XYZ. The scale factor is 3/4.
14) Yes. I used SAS to see whether or not the triangles were similar. PQR is congruent to UVW.
15) Yes. I used 14) Yes. I used SAS to see whether or not the triangles were similar. DGH is congruent to FEH.