Answer:
C. there are no solutions because the slopes are the same and the y-intercepts are different.
step-by-step explanation:
y = 2/3x - 6
3y - 2x = 9
y = 0
3(0) - 2x = 9
-2x = 9
/-2 /-2
x = -9/2 = -4.5
x = 0
3y - 2(0) = 9
3y = 9
/3 /3
y = 3
(-4.5, 3)
slope 2/3
y-intercept (0, 3)
there are no solutions because the slopes are the same and the y-intercepts are different
Subtract 18d from both sides
subtract 9k from both sides
simplify 5k + 10 - 18d - 9k to -4k + 10 - 18d
factor out the common term 2
divide both sides by 2
cancel 2 and now simplify brackets
Answer: D) m < -2k + 5 - 9d or the fourth option.
Answer:
14 and 6
Step-by-step explanation:
Let's start by naming the first number x.
We can name the second number y.
We can set up equations to model our situation.
x+y=2x-8
x-y=2y-4
Let's simplify the equations.
x+y=2x-8
Subtract 2x from both sides
-x+y=-8
__________
x-y=2y-4
Subtract 2y from both sides.
x-3y=-4
Add the two equations together to eliminate x.
x-3y=-4
-x+y=-8
________
0x-2y=-12
-2y=-12
Divide both sides by -2.
y=6
The second number is 6.
Plug that back in.
x+6=2x-8
Subtract x from both sides
6=x-8
Add 8 to both sides
x=14
The first number is 14
Answer:
7.3 in
Step-by-step explanation:
Area of triangle = (1/2) *b*h
27 = (1/2) * x^2
54 = x^2
square root (54) = x
x=> 7.3484....
Rounding off to 1 decimal place, you get 7.3 in.