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3 years ago

1. Why do you think the rule is called the difference of two squares?

Mathematics

1 answer:

WARRIOR [948]3 years ago

3 0

Answer:

Below.

Step-by-step explanation:

1. a^2 - b^2 = (a - b)(a + b)

a^2 and b^2 are 2 perfect squares and a^2 - b^2 are their difference.

2. The order of multiplication does not matter because in algebra multiplication is commutative ( meaning any order gives the same result).

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What is the GPE when a bungee jumper with a mass of

ch4aika [34]

Answer:

47040J

Step-by-step explanation:

80kg*9.8*60m

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3 years ago

What is the orthocenter of the triangle with two altitudes given by the lines x=-1 and y=x+1

timama [110]

The answer to the problem is as follows:

The orthocenter is where the altitudes of a triangle are concurrent (where they intersect each other). On your graph, that would be (-1,0)

I hope my answer has come to your help. God bless and have a nice day ahead!

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4 years ago

Read 2 more answers

Cammie can mow 1/2 acre in 25 minutes. If her rate is constant, Cammie says she can mow 1 1/4 acres in one hour. Is Cammie corre

Sergeu [11.5K]

Answer: No, Cammie is not correct. She can mow $1\frac{1}{5}\ acres$ in one hour (See explanation).

Step-by-step explanation:

Convert the mixed number to an impoper fraction:

1. Multiply the whole number part by the denominator of the fraction and add the product to the numerator.

2. The denominator does not change.

Then:

$1\frac{1}{4}=\frac{(1*4)+1}{4}=\frac{5}{4}$

Let be "x" the acres Cammie can mow in one hour.

You know that she can mow $\frac{1}{2}\ acre$ in 25 minutes, then you can set up the following proportion (Remember that 1 hour has 60 minutes):

$\frac{\frac{1}{2}}{25}=\frac{x}{60}$

Solving for "x", you get:

$\frac{\frac{1}{2}}{25}=\frac{x}{60}\\\\(60)(\frac{1}{50})=x\\\\x=\frac{6}{5}$

Convert from improper fraction to mixed number:

1. When you divide 6 by 5, the quotient is 1. This will be the whole number part.

2. The remainder is 1. This will be the numerator.

3. The denominator does not change.

Then:

$x=1\frac{1}{5}$

Therefore, she can mow $1\frac{1}{5}\ acres$ in one hour.

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3 years ago

If the marked price of an article is Rs. x, discount amount is

sattari [20]

Answer:

Rs. (x - y + 2)

Step-by-step explanation:

The marked price is the price that a product is to be sold. The product can be sold at a discount which is below the marked price of the product.

The marked price of the article is Rs. X. The discount is Rs. y, therefore the article price = marked price - discount = x - y.

But since the article is sold with a VAT of Rs. 2, the VAT is added to the price, therefore the selling price of the article including VAT is Rs. (x - y + 2)

8 0

3 years ago

When looking at the rational function f of x equals the quantity x minus one times the quantity x plus two times the quantity x

Luba_88 [7]

As per the given question, the expression of the function $f(x)$ is as:

$f(x)=\frac{(x-1)(x+2)(x+4)}{(x+1)(x-2)(x-4)}$

Now, as per the definition of zeros, the zero is that value of x which when plugged into the function should make the function zero (it is also called "making the function vanish"). In our case, plugging in "zero values" of x should make the numerator zero without making the denominator zero. Now, if we plug in the given values of x, which are x=-1, x=2 and x=4 in the function we see that the numerator does not become a zero but the denominator does.

Thus, x=-1, x=2 and x=4 are not the zeros of the function and therefore, Sue is wrong. However, we do have discontinuities at the aforementioned values of x because the denominator becomes a zero at those points and as per the definition of a discontinuity the denominator should be a zero at that point. Therefore, Ed is correct.

8 0

4 years ago