Answer:
The parent graph is translated 2 to the left and up 6 units.
Step-by-step explanation:
The +2 moves the parent 2 units to the left and the + 6 moves it up 6 units.
Answer:
4.5 and 1.5
Step-by-step explanation:
4.5+1.5=6
4.5-1.5=3(difference)
Answer:
x = 2
Step-by-step explanation:
Start by combining like terms.
Collecting x terms onto the left side results in 8x;
collecting constants onto the right side results in 16.
Therefore, 8x = 16, and x = 2
Answer:
x = 42
Step-by-step explanation:
The marked angles are supplementary, so their sum is 180°.
(2x +8) +(2x +4) = 180
4x +12 = 180 . . . . . . . . . simplify
x +3 = 45 . . . . . . . divide by 4 (because we can)
x = 42 . . . . . . subtract 3
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<em>Additional comment</em>
A "two-step" linear equation like this one is usually solved by subtracting the unwanted constant, then dividing by the coefficient of the variable. Here, we have done those steps in reverse order. This makes the numbers smaller and eliminates the coefficient of the variable. Sometimes I find it easier to solve the equation this way.
Area of lower rect + area of upper + 4 * sides rect areas
lower = upper rect
2 * rect1 + 4 * rect2
Area = 2 * 6 * 11 + 2 * 11 * 9 + 2 * 9 * 6 = 438 ft^2
or simply just take 2 ( and multiply each two sides.
