Answer:
Step-by-step explanation:
Given
← factorise numerator and denominator
2x² - 18 ( factor out 2 from each term )
= 2(x² - 9) ← difference of 2 squares
= 2(x - 3)(x + 3)
and
x² + 4x - 21 = (x + 7)(x - 3) , then
= 
← cancel common factor (x - 3) on numerator/ denominator
=
Answer:
Step-by-step explanation:
12(5+2y)=4y-(6-9y)
Distribute
12*5 +12*2y = 4y - 6 +9y
60 +24y = 4y - 6 +9y
Combine like terms
60+24y =13y -6
Subtract 13 y from each side
60 +24y-13y=13y-13y -6
60+11y = -6
Subtract 60 from each side
60+11y-60 =-6 -60
11y = -66
Divide by 11
11y/11 = -66/11
y =-6
Check
12(5+2(-6))=4(-6)-(6-9(-6) )
12 (5-12) = -24 - (6+54)
12(-7) = -24 -60
-84 = -84
True so the solution is correct
Hello!!
Area = length * width
So, Area = (8/15) * (1/6) = 4/45
Answer choice A is correct.
Hope this helps!! Let me know if you have ANY questions.
Answer:
(Opt.B) 18
Step-by-step explanation:
4x = 2y - x (vertically opposite angles are equal)
4x + x = 2y
5x = 2y ----- (1)
4x + 2y + x = 180 (Linear pair angles)
5x + 2y = 180
From (1) we can understand that, the value of 5x and 2y is the same. So,
5x + 5x = 180
10x = 180
x = 180/10
x = 18
Just completing,
Putting the value of x in (1)
5*18 = 2y
90 = 2y
90/2 = y
45 = y
Hope you understand
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Thank You
The answer to your question is 6
