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Hitman42 [59]
2 years ago
8

Was the expression a^2-b^2 = (a+b)(a-b) invented or discovered?

Mathematics
2 answers:
Andreyy892 years ago
6 0

Answer:

the expression is invented

Contact [7]2 years ago
3 0
I would say it was discovered.
Expanding (a + b)(a - b)
= a(a - b) + b(a - b)
= a^2 - ab + ba - b^2
= a^2 - b^2
So factorising the difference between two squares simply reverses the equation
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What is the equation of the translated function, g(x), if
ICE Princess25 [194]

Answer:

D

Step-by-step explanation:

g(x) = (x+4)^2 +6

3 0
3 years ago
when nancy started middle school, she was 60 inches tall. when she started high school, she was 66 inches tall. what was the per
Ivahew [28]

Answer:

The percent change in Nancy height is 10%

Step-by-step explanation:

Given : when Nancy started middle school, she was 60 inches tall. when she started high school, she was 66 inches tall.

We have to find the percent change in her height.

Percentage change is given by the ratio of the difference in old value and new value to the old value times 100

Mathematically written as

Percentage\ change =\frac{new\ value-old\ value}{Old\ value}\times 100

For the given data,

Old value = 60 inches

New value = 66 inches

Thus, the Percentage change is given as,

Percentage\ change =\frac{66-60}{60}\times 100

Simlify, we have,

Percentage\ change =\frac{6}{60}\times 100

Thus, The percent change in her height is 10%

7 0
3 years ago
Read 2 more answers
The sum of the first and third of three consecutive even integers is 136. find the three even integers.
tatyana61 [14]
Based on your problem, you only have one given. So, you can't make an equation for this because there are not limits to the equation. The only thing that you know is that the three numbers are consecutive even integers. My way of solution for this is trial-and-error. However, it's really quite easy. 

For example: 42 + 46 = 88. I have to increase the numbers more to reach 136. Suppose: 82 + 86 = 168. That exceeded 136. So, it must be between 46 and 82. Suppose again: 66 + 70 = 136. Therefore, the sequence of the consecutive even integers are 66, 68, and 70. 

5 0
3 years ago
What is the slope of a line parallel to the line whose equation is 2x + 4y = 56.<br><br> HELP ASAP
Anton [14]

Answer:

Let's put this equation in standard form...

2x+4y=56\\4y=56-2x\\y=14-0.5x

If it is parallel, it would have the SAME slope but ANY OTHER y-intercept!!

For example...

y=-0.5x+304\\y=-0.5x-67

Hope this helps!!

3 0
2 years ago
Read 2 more answers
X-4y=-17 and y=4x +8 solve by graphing please and show the solution
nikitadnepr [17]

Answer:

The answer to your question is (-1, 4) The lines cross in one point so they have only one solution.

Step-by-step explanation:

Data

Equation 1     x - 4y = -17

Equation 2    y = 4x + 8

Solve for y

Equation 1          y = -x/-4 - 17/-4

                          y = x/4 + 17/4

Equation 2         y = 4x + 8

See the graph below

These lines cross in point (-1, 4), so that is the only one solution.

If the lines were the same line they would have infinite solutions

                   

6 0
3 years ago
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