Answer: The answer is (d) 
Step-by-step explanation: Given equation to be factored is
The given expression is quadratic, so we can factor it into two linear factors, by using the following factorisation rule.
So, the given equation can be factorised using the above rule. The factorisation is as follows.
Thus, the correct option is (d).
Answer: x=3
Step-by-step explanation:
4(2x-7)-2x=-10
Multiply 4 with 2x and -7
8x-28-2x=-10
Add like terms which are 8x and -2x
6x-28=-10
Add 28 to both sides so the -28 cancels out
6x=18
Divide both sides by 6 to isolate the x
Answer= x=3
Answer:
14
Step-by-step explanation:
It says 'Evaluate (y - 9) + (3 + x), when y = 15 and x = 5'.
So we'd put 15 in y's place. It'll look like this (15 - 9).
Then we'd put 5 in x's place. It'll look like this (3 + 5).
You subtract (15 - 9) which equals 6. And you'd add (3 +5) which equals 8. You add 6 + 8 together since those are your answer for the parentheses. Your final should be 14. Hopefully this helped!
Answer:
C. 5
Step-by-step explanation:
OXA is a 3-4-5 right triangle, so the circle radius is OA = 5.
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By the Pythagorean theorem,
AO² = OX² +AX² = 3² +4² = 9 +16 = 25
AO = √25 = 5 . . . . circle radius
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<em>Comment on Pythagorean triples</em>
The triple of integers (3, 4, 5) is the smallest triple of integers that satisfies the relation of the Pythagorean theorem. The next smallest set is (5, 12, 13). These, and a few other similar triples such as (7, 24, 25) and (8, 15, 17) are often used in algebra and geometry problems because they make the numbers work out nicely. It is worthwhile to learn to recognize these.
