Answer:
Shortest=5, medium=9, longest=10
Step-by-step explanation:
x+x+5+x+4=24
3x+9=24
3x=15
x=5
Answer:
No
Step-by-step explanation:
To find out if 2 is a solution, replace all the x's with 2.
4(2 - 1) - 3(2 - 2) =8
4(1) - 3(0) = 8
4 - 0 = 8
4 = 8
Nope! False! 2 is not a solution.
( 'x' is not 144 .)
The supplement of an angle is (180 - x) .
The problem says that (2/3) of 'x' is equal to (180 - x) .
180 - x = 2/3 x
Multiply each side by 3 :
( Note: 3 x 180 = 540 .)
540 - 3x = 2x
Add 3x to each side:
540 = 5x
Divide each side by 5 :
<u>x = 108°</u> .
Answer:
Step-by-step explanation:
1st expression: x⁴-y⁴
= (x²)² - (y²)²
= (x² +y²)(x² -y²)
= (x² +y²)(x +y)(x -y)
= (x +y)(x -y)(x² +y²)
2nd expression: x² -y²
= (x +y)(x -y)
3rd expression: x³ -y³
= (x -y)(x² +xy +y²)
Now ,
Lowest Common Multiples (L.C.M.) = common factors * rest factors
= (x+y)(x-y) * (x² +y²)(x² +xy +y²)
= (x² -y²)(x²+y²) * (x² +xy +y²)
= (x⁴ -y⁴)(x² +xy +y²)
Our equation is y = 6x - 5 when simplified. In order to be parallel, the equation for the answer must also have a slope of 6x. This rules out options C and D.
Now just plug in 4 for the x-value for each one to get your answer. A little mental math and I can already tell you it's option A.
6(4) - 14 = y
24 - 14 = y
10 = y
10 = 10
Whereas for option B:
6(4) + 14 = y
24 + 14 = y
38 = y
38 ≠ 10
Option A is your answer.
