Answer:
x = 0 (I must assume you had a typo since c is not a variable in this equation!
Step-by-step explanation:
Solve for x:
2 (x - 3) + 9 = 3 (x + 1) + x
2 (x - 3) = 2 x - 6:
2 x - 6 + 9 = 3 (x + 1) + x
Grouping like terms, 2 x - 6 + 9 = 2 x + (-6 + 9):
2 x + (-6 + 9) = 3 (x + 1) + x
9 - 6 = 3:
2 x + 3 = 3 (x + 1) + x
3 (x + 1) = 3 x + 3:
2 x + 3 = 3 x + 3 + x
Grouping like terms, 3 x + x + 3 = (3 x + x) + 3:
2 x + 3 = (3 x + x) + 3
3 x + x = 4 x:
2 x + 3 = 4 x + 3
Subtract 4 x from both sides:
(2 x - 4 x) + 3 = (4 x - 4 x) + 3
2 x - 4 x = -2 x:
-2 x + 3 = (4 x - 4 x) + 3
4 x - 4 x = 0:
3 - 2 x = 3
Subtract 3 from both sides:
(3 - 3) - 2 x = 3 - 3
3 - 3 = 0:
-2 x = 3 - 3
3 - 3 = 0:
-2 x = 0
Divide both sides of -2 x = 0 by -2:
(-2 x)/(-2) = 0/(-2)
(-2)/(-2) = 1:
x = 0/(-2)
0/(-2) = 0:
Answer: x = 0
Answer:
The desired equation is y = 4x - 34
Step-by-step explanation:
Start with the general slope-intercept form y = mx + b.
The new line is parallel to y = 4x - 5, and so the slope of the new line is the same as that of the old one: 4. Then we have:
y = 4x + b
Find b. Do this by substituting 6 for x and -10 for y:
-10 = 4(6) + b. Then -10 - 24 = b, and b = -34.
The desired equation is y = 4x - 34
Answer:
Step-by-step explanation: X=2
Line equation is
y - y1 = m * (x - x1)
y - (-7) = (-5) * ( x - 1)
y + 7 = -5x + 5
y + 5x + 2 = 0
The tangent ratio is
tan(38°) = opposite/adjacent = (height of cliff)/(distance to base)
Multiplying the equation by the denominator gives
height of cliff = (80 ft)*tan(38°) ≈ 62.5 ft
