-3.77 is the answer so yayayayayayayaayyayaayayyaya
|x| - 8 = -5
|x| = -5 + 8 = 3
x = 3 and x = -3
In order to combine, you have to multiply the top equation by 2
so you get
8g + 10h = 8
8g - 10h = 4
---------------
16g = 12
g = 3/4 --> plug it in to solve for h
8(3/4)-10h = 4
6-10h=4
10h=2
h=1/5
Your result: g=3/4, h=1/5
Answer:
Step-by-step explanation:
If OA is perpendicular to OC, then <OAC = 90°
<OAC = <AOB + <BOC
Given
<AOB = 6x-12
<BOC = 3x+30
On substituting this values into the formula:
6x-12+3x+30 = 90
9x+18 = 90
Subtract 18 from both sides
9x+18-18 = 90-18
9x = 72
x = 72/9
x = 8°
Since <AOB = 6x-12
<AOB = 6(8)-12
<AOB = 48-12
<AOB = 36°
Also <BOC = 3x+30
<BOC = 3(8)+30
<BOC = 24+30
<BOC = 54°
To get f(h(x)), we simply plug h(x) into the x value(s) of f(x), resulting in
2(x²+1)-1=2x²+2-1=2x²+1
For g(f(x)), we plug f(x) into the x value(s) of g(x), resulting in
3(2x-1)=6x-3