Answer:
x = 3
Step-by-step explanation:
Distribute the 3 to (x + 5) and -3 to (2x + 4), which gives you the equation, -3x -15 = 6 - 6x - 12. Next, you need to add the like terms, which are 6 and -12. Adding them together gets you -6, so the equation is -3x -15 = -6 - 6x. Then add the -3x to both sides and the equation becomes, -15 = -6 - 3x. Then add 6 to both sides, which gives you -9 = -3x, and divide -9 by -3 and the answer is 3.
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Answer:
C. 84
Step-by-step explanation:
To make it easier to find the total area, you should break the shape into two parts, a triangle and a rectangle.
Step 1:
To find the rectangle area we now we have to multiply <em>l * w</em>
In this case, the length is 12 and the width is 4 so 12*4 = 48
Step 2:
To find the area of the triangle you have to do the formula A = 1/2bh where b is the base 12, and h is the height (10-4) 6. So 6*12 = 72 and 72/2 is 36
Step 3:
Last you need to add the area of both the rectangle and the triangle to get the total area of 84 sq meters
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Answer:
H = 19 cm
B = 17 cm
Step-by-step explanation:
A = (H x B) / 2 (formula for the area of a triangle)
161.5 = ((X + 2)(X)) / 2 (with X acting as the base)
323 = X^2 + 2X
0 = x^2 + 2x - 323
(X - 17) (X + 19) = 0
X = 17 or X = -19
You can't have a negative number as a side length so -19 doesn't work.
Because the height is larger than the base, you add the 2 to the one you will use as the height. Then just add the units (cm) because the area is in cm squared.