Answer:
(7/8 - 4/5)^2 = 9/
1600
= 0.005625
Step-by-step explanation:
Subtract: 7/
8
- 4/
5
= 7 · 5/
8 · 5
- 4 · 8/
5 · 8
= 35/
40
- 32/
40
= 35 - 32/
40
= 3/
40
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(8, 5) = 40. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 8 × 5 = 40. In the next intermediate step, the fraction result cannot be further simplified by canceling.
In words - seven eighths minus four-fifths = three fortieths.
Exponentiation: the result of step No. 1 ^ 2 = 3/
40
^ 2 = 32/
402
= 9/
1600
In words - three-fortieths squared = nine one-thousand six-hundredths.
Answer: 46-3i
Step-by-step explanation: Use the FOIL method, (a+b)(c+d)=ac+ad+bc+bd. Collect like terms then simplify.
(6+7i)(3−4i)
18−24i+21i+28
(18+28)+(−24i+21i)
46-3i
- Hope this helps, have a blessed and wonderful day! :-)
(x-1) (x+5)
Step-by-step explanation:
Smaller leg = x
longer leg = y
hypotenuse = z
y=x+7
z=x+8
due to
but x cannot be -3
so smaller leg is 5 inches
then longer leg = 5+7 = 12 inches
and hypotenuse = 5+8 = 13 inches
Answer:
D, E, F
Step-by-step explanation:
The first step I would do is distribute the original equation. After distributing, the equation is now 8x² + 16xy. The first answer I see that matches this is D.
Then, after already eliminating A, B, and C, I look at E. I distribute the x and find out it is also equal to 8x² + 16xy.
Then, I look at F. After distributing again, it is also equal to 8x² + 16xy.