When you divide fractions, you change each to its reciprocal, then you look multiply them. Using reciprocals helps you easily solve the problem.
In order from left to right:
D, C, A, B
Answer:
CU = 117
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
= 
substituting in values to the ratios
=
( cross- multiply )
24(36x - 1) = 3432 ( divide both sides by 24 )
36x - 1 = 143 ( add 1 to both sides )
36x = 144 ( divide both sides by 36 )
x = 4
CU = 36x - 1 - 26 = (36 × 4) - 27 = 144 - 27 = 117
Answer:
First one: x = all real numbers
Second one: x = 0
Step-by-step explanation:
for the first one
given 8x+10=2(4x+5) we need to isolate the variable (x) using inverse operations
step 1 distribute the 2 to what is in the parenthesis ( 4x and 5 )
2 * 4x = 8x
5 * 2 = 10
now we have 8x + 10 = 8x + 10
step 2 subtract 8x from each side
8x - 8x = 0
8x - 8x = 0
now we have 10 = 10
subtract 10 from each side
10 - 10 = 0
10 - 10 = 0
we're left with 0 = 0 meaning that all real numbers are solutions
For the second one
given 3x-8=2(x-4) once again we need to isolate the variable using inverse operations
step 1 distribute the 2 to what is in the parenthesis (x - 4)
2 *x = 2x
2 * -4 = -8
now we have 3x - 8 = 2x - 8
step 2 add 8 to each side
-8 + 8 = 0
-8 + 8 = 0
now we have 2x = 3x
step 3 subtract 2x from each side
3x - 2x = x
2x - 2x = 0
we're left with x = 0
Based on the graph,
f(x) = 1/2x+3
g(x) = -x+4
so, h(x) = -1/2 x +7
Since h'(x) is the derivative or slope of h(x) and h is a line,
h'(x) = -1/2, Answer C.