Answer:
WZ = 30
Step-by-step explanation:
set up equation based on WZ = W'Z'
3/4[6x + 10] = 13x - 35
multiply each side of equation by 4 to eliminate fractions:
18x + 30 = 52x - 140
-34x = -170
x = 5
substitute 5 for 'x' in either expression:
13(5) - 35
65 - 35 = 30
Answer:
√308 or 17.5
Step-by-step explanation:
c^2=a^2+b^2
c^2-a^2=b^2
Substitute
18^2-4^2=b^2
324-16=b^2
b^2=308
b=√308 or b=17.5
Answer:
solution is
[-3,-1]
Step-by-step explanation:
we are given

Firstly, we will find critical values
so, let's assume it is equal

now, we can break absolute sign
For
:

we can solve for x

Add both sides by 20


Divide both sides by -10
and we get

For
:

we can solve for x

Subtract both sides by 20


Divide both sides by 10
and we get

so, critical values are


now, we can draw a number line and locate these values
and then we can check inequality on each intervals
For
:
We can select any random value from this interval and plug that in inequality
and we get
we can plug x=-5



so, this is FALSE
For
:
We can select any random value from this interval and plug that in inequality
and we get
we can plug x=-2



so, this is TRUE
For
:
We can select any random value from this interval and plug that in inequality
and we get
we can plug x=0



so, this is FALSE
so, solution is
[-3,-1]