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.
Remark
Please number your pairs of equations going from left to right. The pair on the extreme left is (1) and the pair on the extreme right is (5).
(1)
If you multiply to top member of the pair by 2, you will get the bottom equation of the pair. What that tells you is that there are many (infinite) numbers of solutions.
(y = 3x + 4) * 2 remove the brackets.
2y = 6x + 8 Exactly the same equation as the bottom one = infinite solutions.
(2)
If the slopes are the same (both are -1) and the y intercepts are different (0,-2) and (0,-6) then the lines are parallel (they never meet) and have no solutions.
(3)
If the slopes are different, there is one solution. (9 and 1) There is one solution.
(4)
Four gives 1 solution as well at 0,0. That is because the slopes are different.
(5)
trick question. the slopes are quite different. one is 0 and the other is undefined. They meet at one point.(-6,-3). I solution.
Answer:
Step-by-step explanation:
LCD
you have 1 x not 2.
Suppose you have
y/3 + 3y/x + 7y / x
Unless there is something different about the question, you need only 1 x. The other one get's absorbed.
Answer: LCM = 3 * x
Answer:
11/17
Step-by-step explanation:
slope between two points: slope = (y2 - y1) / (x2 - x1)
(x1, y1) = (-19, -6), (x2, y2) = (15, 16)
m = (16 - ( - 6)) / (15 - ( - 19))
refine
m = 11/17
sorry it is hard to follow... i am on my phone rn :/
Answer:
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