Answer:
This equation is invalid, the left and right sides are not equal, therefore there is no solution.
Step-by-step explanation:
In this problem, you have already shown the solution.
24 = 3y - 6 => 30 = 3y, y =10
12 = 5x + 2 => 10 = 5x , x = 2
And yes, basically parallel sides must have the same length
These are the answers:
for 17.) x = 2
y = 10
for 18.) mid segment = (side 1 + side 2) / 2 -->
19 = (24 + side2) / 2 -->
38 = 24 + side2,
thus, side 2 = 14 units
Answer: 2s + 1
Explanation:
1) Given expression: 6s² - 7s- 5 = (3s - 5) ( )
2) The missing factor ( ) is such that when it is multiplied by (3s - 5) the product is 6s² - 7s- 5.
3) Since the first term of the first factor starts with 3s, the first term of the second factor shall be 2s (since they have to yield 6s²). Then, you can write:
6s² - 7s- 5 = (3s - 5) (2s + )
4) The second term of the missing factor is positive because the product (+)(-) = (-) which is the sign of the third term of the polynomial.
5) The second term is such that when multiplied by - 5 is equal to the last term of the polynomial (also - 5), so this second terms is +1.
And you get: 6s² - 7s- 5 = (3s - 5) (2s + 1)
6) You can expand, using distributive property to confirm the result:
(3s - 5) (2s + 1 ) = (3s)(2s) + (3s)(1) - (5)(2s) -(5)(1) = 6s² - 7s- 5, which confirms the result.
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