H(arold) = 2 + 2*K(enneth)
H = 2 + 2K
H + K = 38
Substitution:
2 + 2K + K = 38
3K = 36
K = 12
Kenneth solved 12 problems and Harold solved (2(12) + 2 = 24 + 2 =) 26 problems
Answer:
Option C.
Step-by-step explanation:
Let
r-----> the length of each piece
we know that
To find the length of each piece, divide the total length of the rope (22 ft) by the number of pieces (8 pieces)
so
-----> equation that represent the situation
-----> the length of each piece
Answer:

Step-by-step explanation:
Given


Required
Find f(x) and g(x)
Rewrite h(x)

If
then

This implies that; the expression in the brackets are equal;
In other words; function g(x) on the left hand side is equal to expression x + 2 on the right hand side
So;

To find f(x), substitute g(x) with x


Final solutions are

Answer:
SU=25
Step-by-step explanation:
We can set up a ratio as STU and SQR are similar because of the SAS similarity theorem.
TQ:SQ
SQ=ST+TQ=10+6=16
6:16=3:8
Therefore the ratio of STU:SQR is 3:8
We can use this to find SU
UR:SR=3:8
15:SR=3:8
Cross multiply
3SR=120
SR=40
SU=SR-UR
SU=40-15
SU=25