If you would like to know who is correct, you can find this using the following step:
<span>6x - 2 = -4x + 2
Spencer:
</span>6x - 2 = -4x + 2 /+4x
6x - 2 + 4x = -4x + 2 + 4x
10x - 2 = 2
Jeremiah:
6x - 2 = -4x + 2 /-6x
6x - 2 - 6x = -4x + 2 - 6x
-2 = -10x + 2
They both are correct. But in Jeremiah's version of solving the equation, we would have to multiply equation by -1 (or add 10x to both sides), which we don't have to do in the Spencer's version.
Answer:
x > 
Step-by-step explanation:
Given
x -
> 1
Multiply through by 15 to clear the fractions
10x - 3 > 15 ( add 3 to both sides )
10x > 18 ( divide both sides by 10 )
x >
, that is
x > 
Answer:
12
Step-by-step explanation:
Your ratio is 24:8. This ratio simplified is 3:1. 4x3=12. x=12.
Answer:
76.53 cm
Step-by-step explanation:
From the question, the triangle formed has 2 sides and an included angle ;
Angle, θ = C = 45°
We use cosine rule :
Taking the side to find as c
a = 100 ; b = 100
From cosine rule :
c = sqrt(a² + b² - 2abCosC)
c = sqrt(100² + 100² - 2(100*100)Cos45
c = sqrt(10000 + 10000 - 20000 * 0.7071067)
c = sqrt(20000 - 14142.135)
c = sqrt(5857.865)
c = 76.536690
c = 76.53 cm