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2 years ago

Please help me with this!!

Mathematics

2 answers:

rewona [7]2 years ago

8 0

Area = b * h
Area of orange = area of big square subtract by area of small square

Small square = b^2
Big square = a^2
(a^2 - b^2) = (a - b)( a + b)

Solution: (a - b) (a + b)

melomori [17]2 years ago

5 0

Answer:

a² - b² = (a + b)(a - b)

Step-by-step explanation:

The side of the outer square is a. Its area is a².

The side of the inner square is b. Its area is b².

The area of the orange section is the difference of the area of the two squares.

A = a² - b²

The area is the difference of two squares which factors into the product of a sum and a difference.

Factor the area:

a² - b² = (a + b)(a - b)

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Mrs. Lenz rented a scooter during her beach vacation. The cost of the scooter rental is shown for different periods of time. Wha

iragen [17]

Answer:

The unit rate of $10 per hour.

Step-by-step explanation:

Given

$x = time$

$y = amount$

$(x,y) = (1,10)$

See attachment for graph

Required

What does the given point represents

From the attachment, the origin of the graph is:

$(x_1,y_1) = (0,0)$

and we have the given point to be:

$(x_2,y_2) = (1,10)$

Calculate the slope (m)

$m = \frac{y_2 - y_1}{x_2 - x_1}$

$m = \frac{10-0}{1-0}$

$m = \frac{10}{1}$

$m = 10$

The slope represents $10/1 hour

Hence:

$(x,y) = (1,10)$ means the unit rate is $10 per hour

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3 years ago

Which shows one way to determine the factors of 4x3 + x2 – 8x – 2 by grouping?

Korvikt [17]

Remember that to factoring by grouping, we should split the expression into tow pairs that have something in common. The idea is that after factoring each pair, we get a binomial common factor. Is worth pointing out that you can pair factors in more than one way.

Let's check how to determine the factors of our expression by grouping:

Step 1. Look for common multiples between the terms.

Notice that 4 and 8 are multiples of 2, 8 is a multiple of 4, and all of them are multiples of 1, so we are going to try more than one pairing combination.

Step 2. Look for common factors between the variables.

Usually, we want to pair variables with higher exponents so when we factor each pair, we end up with another common factor in binomial form.

Step 3. Factor each pair; if you end with another binomial common factor, you nailed it. If not, try again.

Les't apply our steps to our expression $4x^3+x^2-8x-2$