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:
Step-by-step explanation:
First you would see how many times 3 would go into 22 and it would be 7 with a remainder of 1. Then you would do 7 times 3 which is 21. And 22 minus 21 is 1. Then your answer would be 7 with a remainder of 1. If you don't want a remainder, and you want a decimal then you would add a decimal point after the 22 and then add a 0. You would bring down the zero and then the remainder of one would be 10 then you would see how much 3 goes into 10, and it only goes 3 times. Your answer would be 7.3 with a remainder of 1, If you keep going you will see it becomes a repeating decimal. *Hope it helped*
<h3>Answer:</h3>
±12 (two answers)
<h3>Explanation:</h3>
Suppose one root is <em>a</em>. Then the other root will be -3<em>a</em>. The product of the two roots is the ratio of the constant coefficient to the leading coefficient:
(<em>a</em>)(-3<em>a</em>) = -27/4
<em>a</em>² = -27/(4·(-3)) = 9/4
<em>a</em> = ±√(9/4) = ±3/2
Then the other root is
-3<em>a</em> = -3(±3/2) = ±9/2 . . . . . . the roots will have opposite signs
We know the opposite of the sum of these roots will be the ratio of the linear term coefficient to the leading coefficient: b/4, so ...
-(a + (-3a)) = b/4
2a = b/4
b = 8a = 8·(±3/2)
b = ±12
_____
<em>Check</em>
For b = 12, the equation factors as ...
4x² +12x -27 = (2x -3)(2x +9) = 0
It has roots -9/2 and +3/2, the ratio of which is -3.
For b = -12, the equation factors as ...
4x² -12x -27 = (2x +3)(2x -9) = 0
It has roots 9/2 and -3/2, the ratio of which is -3.
Answer:
-2s + 4
General Formulas and Concepts:
Step-by-step explanation:
<u>Step 1: Define expression</u>
(s + 12) + (-3s - 8)
<u>Step 2: Simplify</u>
- Combine like terms (s): -2s + 12 - 8
- Combine like terms (constants): -2s + 4
1 meter = 3.28 ft
A = L * l = 2 * 3 = 6 square meter
To tranform it into square feet: 6 * 3.28 = 19.68 sq ft
