Answer:
a^2 + 4a/b + 4/b^2
Step-by-step explanation:
Which of the following is equivalent to (a + b/2) ^2?
Answer:
x²+1/x² = 51
Explanation:
Given x - 1/x = 7 ---(1)
We know the algebraic identity:
a²+b²-2ab = (a-b)²
Or
a²+b² = (a-b)²+2ab
Now,
x²+1/x²
= (x-1/x)²+2*x*(1/x)
= (x-1/x)²+2
:7²+2 [ from (1)] =
= 49+2
= 51
Therefore,
x²+1/x² = 51
You can use factors to solve. Determine all the factor pairs of 24, find the two that are two numbers apart.
1, 24 X
2, 12 X
3, 8 X
4, 6 YES!
Algebraic way to solve using Quadratics:
l = 2 + w
A = lw
A = (2 + w)w Substitute (2 + w) for l
24 = (2 + w)w Substitute 24 in for the area
24 = 2w + w^2 Distribute
w^2 + 2w - 24 = 0 Set equal to 0 (put in standard form)
(w + 6) (w - 4) = 0 Factor
w + 6 = 0 and w - 4 = 0 Set each factor equal to 0.
So w= -6 or w = 4 ... -6 makes no sense for a length! So the width must be 4 and the length will be 4 + 2, which is 6.
Answer:
Nico
Step-by-step explanation:
We have to convert both to the same units! Think about the units: we have millimeters and centimeters. There are 10 millimeters in a centimeter, so
55 mm = 5.5 cm
We just had to move the decimal point!
Now compare the two measurements in cm. 5.5 and 5.7: which is greater? Look at the tenths place: 5<7, so 5.7 is greater and Nico’s thumb is longer!
Answer:
x=-2
Step-by-step explanation:
2(3x – 1) = 4x - 6
Distribute
6x-2=4x-6
Moving like terms (4x)
2x-2=-6
Moving like terms (-2)
2x=-4
Divide both sides by 2 to isolate x
x=-2
Hope this helps! Please mark brainliest :)
