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adelina 88 [10]
3 years ago
13

Three points not in a straight line make up a triangle. Lyle asks, “Where are the locations I should put a fourth point to make

sure I have a convex quadrilateral?” Explain.
Mathematics
1 answer:
Archy [21]3 years ago
8 0
Connect them in a traingle
put a point ANYWHERE outside the triangle
connect them
tada
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Which of the following are factors of x^4 – 16? Select all that apply.
nekit [7.7K]

<h2><em>Answer:</em></h2><h2><em>x^</em><em>2</em><em>+</em><em>4</em><em> </em><em>and </em><em>X+</em><em>2</em></h2>

<em>Solution,</em>

<em>x^</em><em>4</em><em>-</em><em>1</em><em>6</em>

<em>=</em><em> </em><em>(</em><em>X^</em><em>2</em><em>)</em><em>^</em><em>2</em><em>-</em><em>(</em><em>4</em><em>)</em><em>^</em><em>2</em>

<em>Use </em><em>the </em><em>formula(</em><em>a^</em><em>2</em><em>-</em><em>b</em><em>^</em><em>2</em><em>)</em>

<em>=</em><em> </em><em>(</em><em>x^</em><em>2</em><em>+</em><em>4</em><em>)</em><em>(</em><em>x^</em><em>2</em><em>-</em><em>4</em><em>)</em>

<em>=</em><em>(</em><em>x^</em><em>2</em><em>+</em><em>4</em><em>)</em><em>(</em><em>x^</em><em>2</em><em>-</em><em>2</em><em>^</em><em>2</em><em>)</em>

<em>=</em><em>(</em><em>x^</em><em>2</em><em>+</em><em>4</em><em>)</em><em>(</em><em>X+</em><em>2</em><em>)</em><em>(</em><em>x-2)</em>

<em>Hope </em><em>it</em><em> helps</em>

<em>Good </em><em>luck</em><em> on</em><em> your</em><em> assignment</em>

5 0
3 years ago
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What's 9x = 3x + 84?
Vikki [24]

Answer:

x=14

Step-by-step explanation:

9x = 3x + 84

9x-3x=84

6x=84

x=84/6

x=14

5 0
3 years ago
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Factor Trinomials:
notka56 [123]

Answer:

1. 2(x+2)(x+5)

2. 8(x+4)^{2}

Step-by-step explanation:

<u>Problem #1:</u>

1. Find the GCF (Greatest Common Factor)

GCF = 2

2. Factor out the GCF and simplify.

2(x^{2} +7x+10)

3. Factor x^{2} +7x+10

<u>Which two numbers add up to 7 and multiply to 10?</u>

2 and 5

<u>Rewrite the expression using the above.</u>

(x+2)(x+5)

4. Done!

2(x+2)(x+5)

<u>Problem #2:</u>

1. Find the GCF (Greatest Common Factor)

GCF=8

2. Factor out the GCF and simplify.

8(x^{2} +8x+16)

3. Use the perfect square formula. a^{2} +2ab+b^{2} =(a+b)^{2}

a = x\\b=4

(x+4)^{2}

4. Done!

8(x+4)^{2}

8 0
2 years ago
The missing number in the series?
RoseWind [281]
A)48

Explanation:

2^3 - 2^2 = 8 - 4 = 4
3^3 - 3^2 = 27 - 9 = 18
4^3 - 4^2 = 64 - 16 = 48
5^3 - 5^2 = 125 - 25 = 100
6^3 - 6^2 = 216 - 36 = 180
7^3 - 7^2 = 343 - 49 = 294
8^3 - 8^2 = 512 - 64 = 448
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3 years ago
Stephanie has 6 classes a day at school. Each class is 52 minutes long. She goes to school 5 days a week. How many minutes does
Yakvenalex [24]

Answer:

1560 minutes

Step-by-step explanation:

52minutes x 6 = 312minutes

312minutes x 5 = 1560 minutes

so that means, she spends 1560 minutes in class

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3 years ago
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