Answer: 357 cm²
Step-by-step explanation: In this problem, were asked to find the area of the trapezoid shown. Remember that a trapezoid is a quadrilateral with one pair of parallel sides. The formula for the area of a trapezoid is shown below
The b's are the bases or the parallel sides and the h represents the height.
So in the trapezoid shown, the bases are 15 cm and 27 cm and the height is 17 cm.
Plugging this information into the formula, we have .
Next, the order of operations tells us that we must simplify inside the parentheses first. 15 cm + 27 cm is 42 cm and we have
1/2 × 42 cm is 21 cm and we have (21 cm)(17 cm) which is 357 cm².
So the area of the trapezoid shown is 357 cm².
Let's plug in (18,10) into each answer choice until we find the one that has it as a solution.
A) 2x - y = 26
2(18) - 10 = 26
36 - 10 = 26
26 = 26
Your answer is A.
I'll just do the rest to show that you the they are incorrect.
B) x + y = 18
18 + 10 = 18
28 ≠ 18
C) 2x - 2y = 36
2(18) - 2(10) = 36
36 - 20 = 36
16 ≠ 36
D) x - y = -28
18 - 10 = -28
8 ≠ -28
Your answer is A) 2x - y = 26.
Answer:
Step-by-step explanation:
Represent trees with T and wreaths with W
Given
Solving (a): Cost of W
Substitute 3 + 4 * W for T in the second equation
Collect Like Terms
Divide through by 6
Hence, each wreath costs $16
Solving (b): Cost of T
Substitute 16 for W
Hence, each tree costs $67
7+3t -t
------- = ----- is the relevant equation here. We don't ask, "What is 7+3t over
4 8 -t over 8," but rather "Solve the following equation for t."
Cross multiplying, 56 + 24t = -4t
-56
Then: 28t = 56, and t = ------ = -2 (answer)
28
The solution to "<span>What is 7+3t over 4 = -t over 8" is t = -2.</span>
C. To find the y-intercept, substitute in 0 for x and solve for y. y-intercept= (0,33)
