Answer:
x = -4
Step-by-step explanation:
-5x-4x-2 = -8x+2 is the only one with a solution.
-5x-4x-2 = -8x+2
-x-2 = 2
-x = 4
x = -4
Answer:
y = -2x/3 + 2
Step-by-step explanation:
A(0,1), B(2,4)
slope of AB = (yb-ya)/(xb-xa) = (4-1)/(2-0) = 3/2
Slope of perpendicular to AB
m = -1/(3/2) = -2/3
Point to lie on perpendicular, P(0,2)
Equation of perpendicular, point-slope form
(y-yp) = m(x-xp)
y-2 = -(2/3)(x-0)
y = -2x/3 + 2
Let A and B be the two complementary angles.
A = smaller angle = 2x
B = larger angle = 13x
x = some unknown number
Note how the ratio A:B turns into 2x:13x which simplifies to 2:13
A+B = 90 ... because the angles are complementary
2x+13x = 90 ... substitution
15x = 90
x = 90/15
x = 6
A = 2*x = 2*6 = 12 degrees
B = 13*x = 13*6 = 78 degrees
The two angles are 12 degrees and 78 degrees.
Check:
A/B = 12/78 = (2*6)/(13*6) = 2/13, so A:B = 2:13
A+B = 12+78 = 90
Answer:
The slope is 2/1 and the y-intercept is -6.
Step-by-step explanation:
With the y=mx+b formula, m is the slope and b is the intercept.
4.05 in a mixed number is 4 1/2
