Answer:
<h2>36b + 60c</h2>
Step-by-step explanation:
Put a = 6 to the expression 2a(3b + 5c):
(2)(6)(3b + 5c) = 12(3b + 5c) <em>use the distributive property</em>
= (12)(3b) + (12)(5c) = 36b + 60c
Answer: There are no solutions.
Step-by-step explanation:
Answer:
D. y = 4x - 6
Step-by-step explanation:
The equation that is perpendicular to the line MN should have a slope that when multiplied by the slope of line MN will result to negative one. Therefore,
Therefore,
m₁ × m₂ = -1
Using the 2 coordinates of MN let's find the slope,
(-7, 6)(5, 3)
Therefore,
m₁ = 3 - 6 / 5 - (-7) = -3 / 12 = - 1 / 4
The equation that represent a line perpendicular to the line MN is
y = 4x - 6 because the slope slope(m₂) is 4.
From our formula,
4 × - 1 / 4 = - 1
So, option D meets the requirement.
Answer:
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Step-by-step explanation:
Answer:
x>−6,x<−12
Step-by-step explanation:
Break down the problem into these 2 equations.
x+9>3x+9>3
-(x+9)>3−(x+9)>3
Solve the 1st equation: x+9>3x+9>3.
x>-6x>−6
3 Solve the 2nd equation: -(x+9)>3−(x+9)>3.
x<-12x<−12
Collect all solutions.
x>-6,x<-12x>−6,x<−12