4.5(8 - x) + 36 = 102 - 2.5(3x + 24)
36 - 4.5x + 36 = 102 - 7.5x - 60
72 - 4.5x = 42 - 7.5x
-4.5x + 7.5x = 42 - 72
3x = - 30
x = -30/3
x = -10 <===
Hope this helps!
Using the law of cosine:
Cosine(angle) = Adjacent leg / Hypotenuse
You are given the angle, and the adjacent leg and need to solve for X, which is the hypotenuse.
Using the formula above you have:
Cosine(58) = 17 / x
Solve for x by dividing 17 by cos(58)
x = 17 / cos(58)
x = 32.08
The answer is C and D
First we must make one side of the equation zero, so we subtract 7 on both sides of the equation, making the equation 9x^2 - 6x - 6 = 0
Then we will use the quadratic formula to find the answers.
using the Quadratic Formula where:
a = 9, b = -6, and c = -6
and the formula is 6 +- 
The answer is 25.83333333
Hope this helps!
Given:
Four equations in the options.
To find:
The equation which represents a proportional relationship.
Solution:
If y is proportional to x, then


where, k is the constant of proportionality.
In this case if x=0, then y=0. It means the graph of a proportional relationship passes through the origin.
From the given options, only option B, i.e.,
, is of the
, where,
.
So, the equation
represents a proportional relationship.
Therefore, the correct option is B.