Answer:
x = -1/3 and x = 3
Step-by-step explanation:
I'm not sure, but I think you mean 3x^2 - 8x - 3 = 0
In that case:
1. Add 3 on both sides
3x^2 - 8x -3 + 3 = 3 -> 3x^2 - 8x = 3
2. Divide both sides by 3
x^2 - 8/3x = 1
3. Add ((8/3)/2)^2 to both sides
x^2 - 8/3x + ((8/3)/2)^2 = 1 + ((8/3)/2)^2
4. Simplify
x^2 - 8/3x + (4/3)^2 = 1 + (4/3)^2
x^2 - 8/3x + 16/9 = 1 + 16/9
5. Rewrite x^2 - 8/3x + 16/9 = 1 + 16/9 as a perfect square
and simplify 1 + 16/9
(x - 4/3)^2 = 25/9
6. Find the square root of both sides
7. Simplify
(x - 4/3) = ±5/3
8. Rewrite the equation as two seperate equations
(x - 4/3) = ±5/3 ->
a. (x - 4/3) = 5/3
b. (x - 4/3) = -5/3
9. Solve for x by isolating the variable (add 4/3 to both sides)
a. x = 5/3 + 4/3
b. x = - 5/3 + 4/3
10. Simplify
a. x = 9/3 -> x = 3
b. x = -1/3
Subtract 3 from 13 you get 10, divide that by two, you get 5, so one number is 5 and then add the three to the other 5, you get 8
The numbers are 5 & 8
Answer:
<em>AXE</em> and <em>CXD </em>are vertical angles
<em>AXF</em> and <em>FXD </em>are supplementary angles
<em>DXC </em>and <em>BXC </em>are complementary angles
<em>EXA</em> and <em>AXB </em>are adjacent angles
<em>AXC </em>and <em>CXD</em> are supplementary angles
<em>EXD </em>and <em>AXC </em>are vertical angles
Step-by-step explanation:
Answer:
6/50 simplified to 3/25
Step-by-step explanation:
step 1 Address input parameters & values.
Input parameters & values: The decimal number = 0.12
step 2 Write it as a fraction
0.12/1
step 3 Multiply 100 to both numerator & denominator
(0.12 x 100)/(1 x 100) = 12/100
It can be written as 12% = 12/100 or 12/100
step 4 To simplify 12/100 to its lowest terms, find LCM (Least Common Multiple) for 12 & 100.
4 is the LCM for 12 & 100
step 5 divide numerator & denominator by 4
12/100 = (12 / 4) / (100 / 4)
= 3/25
3/25 is a simplest fraction for the decimal point number 0.12
Answer:
(x+2)(x−10)
Step-by-step explanation:
x^2-8x-20
Factoring means something like this:
(x+_)(x+_)
Add together to get -8
Multiply together to get -20
think of the two numbers
Try 2 and -10:
2+-10 = -8
2*-10 = -20
Fill in the blanks of with 2 and -10 to get
(x+_)(x+_) = (x+2)(x−10)
I hope it's right!
