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3 years ago

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PLEASE HELP

1 answer:

Lera25 [3.4K]3 years ago

3 0

Answer:

To construct the Square using a compass and straight edge, you have written the steps not in proper order. I am rearranging the steps for you

1. Construct horizontal H J¯¯¯¯¯

2. Construct a circle with point H as the center and a circle with point J as a center with each circle having radius HJ .

3.Label the point of intersection of the two circles above HJ¯¯¯¯¯ , point K, and the point of intersection of the two circles below HJ¯¯¯¯¯ , point L.

4.Construct KL¯¯¯¯¯ , the perpendicular bisector of HJ¯¯¯¯¯ , intersecting HJ¯¯¯¯¯ at point M.

5.Construct a circle with point M as the center with radius MJ .

6.Label the point of intersection of circle M and KL¯¯¯¯¯ closest to point K, point N, and the point of intersection of circle M and KL¯¯¯¯¯ closest to point L, point O.

7.Construct HN¯¯¯¯¯¯ , NJ¯¯¯¯¯ , JO¯¯¯¯¯ , and OH¯¯¯¯¯¯ to complete square HNJO .

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Solving Rational Inequalities and use sign diagram to sketch the graph. Image attached for better understanding.

Digiron [165]

Answer:

x ∈ (-∞, -1) ∪ (1, ∞)

Step-by-step explanation:

To solve this problem we must factor the expression that is shown in the denominator of the inequality.

So, we have:

$x ^ 2-1 = 0\\x ^ 2 = 1$

So the roots are:

$x = 1\\x = -1$

Therefore we can write the expression in the following way:

$x ^ 2-1 = (x-1)(x + 1)$

Now the expression is as follows:

$\frac{(x-2) ^ 2}{(x-1) (x + 1)}\geq0$

Now we use the study of signs to solve this inequality.

We have 3 roots for the polynomials that make up the expression:

$x = 1\\x = -1\\x = 2$

We know that the first two are not allowed because they make the denominator zero.

Observe the attached image.

Note that:

$(x-1)\geq0$ when $x\geq-1$

$(x + 1)\geq0$ when $x\geq1$

and

$(x-2) ^ 2$ is always $\geq0$

Finally after the study of signs we can reach the conclusion that:

x ∈ (-∞, -1) ∪ (1, 2] ∪ [2, ∞)

This is the same as

x ∈ (-∞, -1) ∪ (1, ∞)

6 0

3 years ago

A ball is thrown straight up from the top of a building that is 280 feet high with an initial velocity of 48 ft/s. The height of

Pani-rosa [81]

Answer:

i hope it helpful

thank you

7 0

3 years ago

Read 2 more answers

PLEASE HELP WILL GIVE BRAINLIEST!!!

zepelin [54]

Answer: Choice B) Investment decreases by 3% each month

=====================================================

Explanation:

We won't use the value 2500 at all.

The base of the exponential is 0.97

Set this equal to 1+r and solve for r

1+r = 0.97

r = 0.97-1

r = -0.03

The negative r value indicates we have exponential decay, so the value of the investment decreases by 3% each month.

Let's say you had $100 to start off. This would mean the investment would be worth $97 after one month is up.

7 0

3 years ago

A rectangular garden measures 9 feet wide by 12 feet long. If a hose costs $8 per foot, how much would it cost to place a hose

castortr0y [4]

Answer:

120

Step-by-step explanation:

using the pythogorean thereom, we have 12^2+9^2=225

sqrt225=15

15*8=120

5 0

3 years ago

Consider the following expression and determine which statement are true.

Phantasy [73]

Answer:

A and B

Step-by-step explanation:

A is correct because the three terms are x², 5<em>yz,</em> and -8.

B is 100% correct I guarantee it.

C is incorrect because ² is not a coefficient.

D is incorrect because there are three factors in that multiplication term: 5, <em>y</em>, and <em>z.</em>

8 0

3 years ago