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3 years ago

Factor completely.

1 answer:

5 0

Factor the polynomial:

4u² – 20u + 25

Rewrite – 20u as – 10u – 10u, and then factor it by grouping:

= 4u² – 10u – 10u + 25

= 2u * (2u – 5) – 5 * (2u – 5)

= (2u – 5) * (2u – 5)

= (2u – 5)² <––– this is the answer.

I hope this helps. =)

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What is the value of x to the nearest tenth

marishachu [46]

You will have to use trig to solve this:

The side you have is adjacent to the known angle

The side you are looking for is opposite the known angle

^^^This means you need to use tan:

tan(24) = $\frac{x}{12}$

.445222 = $\frac{x}{12}$

^^^input tan(24) into calculator, then multiply 12 to both sides to isolate and solve for x

5.3 ≈ x

Hope this helped!

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3 years ago

Brinn's rectangular kitchen has an area of 81 square feet. the kitchen is 9 times as many square feet as Brinn's pantry. If the

elixir [45]

3 feet, you divide 81 by 9 and you get the square feet of the pantry, then you divide that by 3

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3 years ago

Arrange the hyperbolas in increasing order of the horizontal widths of their asymptote rectangles.

almond37 [142]

The increasing order of the horizontal widths of their asymptote rectangles is dependent on the values gotten from y = ± x.

<h3>What is a Hyperbola?</h3>

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The rectangular hyperbola has two asymptotes which are defined as y = ± x in this scenario.

Read more about Hyperbola here brainly.com/question/3351710

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2 years ago

Which of the following is equivalent to (a + b/2) ^2?

myrzilka [38]

Answer:

a^2 + 4a/b + 4/b^2

Step-by-step explanation:

Which of the following is equivalent to (a + b/2) ^2?

4 0

3 years ago

The width of a rectangle is 3x – 3. Its perimeter is 10x + 6. Find the length of the rectangle.

maks197457 [2]

Step-by-step explanation:

The first possibility

2(width) + 2(length) = perimeter

2(3x-3) + 2(length) = 10x+6

6x - 6 + 2(length) = 10x+6

2(length) = 4x + 12

length = 2x + 6

The second possibility.

rondhesha chodado in The width of a rectangle is 3x – 3. Its perimeter is 10x + 6. Find the length of the rectangle.

So you have the perimeter, P, can be found by doing u+u+v+v.

Simplifying gives:

P=2u+2v.

You are given the width is (3x-3). Choose this to be u or v but not both.

Perimeter is given a (10x+6).

Let's plug this in:

(10x+6)=2(3x-3)+2v

We are solving for v.

First step: Distribute where you can:

10x+6=6x-6+2v

Now we want to isolate v.

So we will need to subtract (6v-6) on both sides:

(10x+6)=2v

- (6x -6)

----------------------

4x+12 =2v

The right hand side contains a factor of 2.

The left hand side does too since 4x+12 can be factored as 2(2x+6).

2(2x+6)=2v

This implies v is 2x+6.

Let's check our work.

We have two sides with measurement 2x+6: (2x+6)+(2x+6)=4x+12

We have two sides with measurement 3x-3: (3x-3)+(3x-3)= 6x-6

Let's add those sums to find the perimeter: 10x+6

That is the intended

3 0

3 years ago