12+11x=17x11x+12=17x
(both sides of the equation)
11x+12−17x=17x−17x
(Subtract 17x from both sides)
−6x+12=0−6x+12−12=0−12
(Subtract 12 from both sides)
−6x=−12−6x−6=−12−6
(Divide both sides by -6)
x=2
Check answers. (Plug them in to make sure they work.)
x=2
(Works in original equation)
Answer: 94 cm^3.
Step-by-step explanation: You use the formula 2(ab+bc+ca). You plug in 3, 4, and 5 to get 94.
Answer:

Step-by-step explanation:
The point-slope form of an equation of a line:

m - slope
We have the slope
and the point
.
Substitute:

The sum of three even consecutive integers if the first integer is y will be 3y + 6.
First integer = y
Second integer = y + 2
Third integer = y + 4
Therefore, based on the expressions given above, the sum of the three integers will be:
= y + y +2 + y + 4
= 3y + 6
Therefore, the sum will be 3y + 6.
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Answer:
y = -4/5x - 0.8
Step-by-step explanation:
A(-6, 4)
B(4, -4)
Find slope using the two points above:
m = (y₂ - y₁) / (x₂ - x₁)
= (-4 - 4) / (4 - (-6))
= -8 / 10
m = -4/5
Find y-intercept using m from above and anyone point, let's use (-6, 4):
y = mx + b
4 = -4/5(-6) + b
4 = 24/5 + b
b = -0.8
Use m and b from above to form equation of line:
y = mx + b
y = -4/5x - 0.8