Answer:
-3/2
Step-by-step explanation:
Perpendicular lines have negative reciprocal slopes. That means that it's the reciprocal, but with the opposite sign. The slope of a line perpendicular to a line with slope 2/3 would be -3/2. Here's how to figure it out:
Start with the slope: 2/3
Flip the fraction to find the reciprocal : 3/2
The sign has to be changed! So the negative reciprocal is -3/2.
It would be D
G(x) = (x+5)^3
since this function represents a horizontal shift 5 to the left. also you can think about this that -5 is a root and the function only equals 0 at -5
Answer:
$2.03
Step-by-step explanation:
2.25-(2.25*.1)=2.025
Answer:
A) -18 B) r=10 C) x=-4
Step-by-step explanation:
A) 1d + 12 = 14-20
Step 1: Simplify both sides of the equation.
1d+12=14−20
d+12=14+−20
d+12=(14+−20)(Combine Like Terms)
d+12=−6
d+12=−6
Step 2: Subtract 12 from both sides.
d+12−12=−6−12
d=−18
Answer:
d=−18
B) 4(20+5) = 10r
Step 1: Simplify both sides of the equation.
100=10r
Step 2: Flip the equation.
10r=100
Step 3: Divide both sides by 10.
r=10
C) -2(5 + x) - 1 = 3(x + 3)
Step 1: Simplify both sides of the equation.
−2(5+x)−1=3(x+3)
(−2)(5)+(−2)(x)+−1=(3)(x)+(3)(3)(Distribute)
−10+−2x+−1=3x+9
(−2x)+(−10+−1)=3x+9(Combine Like Terms)
−2x+−11=3x+9
−2x−11=3x+9
Step 2: Subtract 3x from both sides.
−2x−11−3x=3x+9−3x
−5x−11=9
Step 3: Add 11 to both sides.
−5x−11+11=9+11
−5x=20
Step 4: Divide both sides by -5.
x=−4
Answer:
slope = - , point on line = (4, - 3 )
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b ) a point on the line
y + 3 = - (x - 4) ← is in point- slope form
with slope m = - and point on line (a, b ) = (4, - 3 )