8x + 6y = 12 the idea is to get y by itself
Subtract 8x from both sides
6y = -8x + 12 divide throgh by 2
3y = -4x + 6 divide through by 3
y = (-4/3)x + 2
In this form, y = mx + b, the slope, m, is the (-4/3) in front of "x"
28 + x = 7 - 2x the idea is to get x by itself
Add 2x to both sides
28 + x + 2x = 7 simplify
28 + 3x = 7 subtract 28 from each side
3x = -21 divide both sides by 3
x = -7
The hypotenuse = sqrt (Leg1^2 + Leg2^2)......so we have
sqrt ( 7^2 + 24^2) =
sqrt (49 + 576) =
sqrt (625) =
25
Total Area:
0.972424
If this is an equation, try squaring both sides.......for some equations, you may have to do this more than once......
Let his salary = S
After he spends 5/8 of his salary, he has (3/8 )S left
After he gives (1/3) of this to his mother he has (3/8)(2/3)S = (1/4)S left
And this = $300
So
(1/4)S = 300 multiply both sides by 4
S = $1200
And he spent (5/8) of this = (5/8)(1200) = $750
log4(x-4)=3 In exponential form, we have
4^3 = ( x - 4)
64 = x - 4 add 4 to both sides
68 = x
Difference = High Temp - Low Temp = 21 - (-21) = 42°
We can use the tangent here
tan (76) = H / 12 where H is the building height........nultiply both sides by 12
12 * tan (76) = H ≈ 48.13 ft
