Answer:
A and E
Step-by-step explanation:
Given
20x² - 26x + 8 = 0 ( divide through by 2 )
10x² - 13x + 4 = 0
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 10 × 4 = 40 and sum = - 13
The factors are - 5 and - 8
Use these factors to split the x- term
10x² - 5x - 8x + 4 = 0 ( factor the first/second and third/fourth terms )
5x(2x - 1) - 4(2x - 1) = 0 ← factor out (2x - 1) from each term
(2x - 1)(5x - 4) = 0
Equate each factor to zero and solve for x
2x - 1 = 0 ⇒ 2x = 1 ⇒ x =
→ E
5x - 4 = 0 ⇒ 5x = 4 ⇒ x =
→ A
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Choice b
Answer:D
Step-by-step explanation:
This is combination.
If 4 books selected out of eight book in the shelf:
(4 combination 8)= 70
For hardback selection:
Then selection of 4 books out of the hardback, it means there is no paperbach will be:
(4 combination 6)= 15
So , if at least one paperback selected will be : 70-15
That is 55
Answer:
The answer is C
Step-by-step explanation:
That side with the 5 is equal to 7.071067812.... (irrational number)
To get x you need to use the equation a^2 + b^2 = c^2
A^2 and B^2 will both be the same thing. The red line indicates they are the exact same length.
7.071037812.... ^2 is 50
Now your equation would be 50+50= c^2 (which is the same as x^2)
100= c^2 is simplified by finding the square root of 100.
Your answer is 10 for side X because the square root of 100 is 10.
This problem was solved using the Pythagorean Theorem.