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3 years ago

What is the answer too this problem

Mathematics

1 answer:

svetoff [14.1K]3 years ago

7 0

Because of the Vertical Angles theorem, we know that the two expressions are equal.

6x - 35 = 4x + 11

Add 35 to both sides: 6x = 4x + 46

Subtract 4x from both sides: 2x = 46

Divide by 2 on both sides: x = 23

Now, insert x into one of the equations: 6(23) - 35

138 + 35

103

103 + K = 180

Subtract 103 from both sides: K = 77

K = 77

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3 years ago

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Sauron [17]

Answer: The exponential function would be

Step-by-step explanation:

Since we have given that

We have points (0,15) and (2,24)

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3 years ago

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Nostrana [21]

Answer:

2) 4/5

3) 3

Step-by-step explanation:

2) 4/8-3=4/5

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3 years ago

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ABC has the points A(1,7) B(-2,2) and C(4,2) as it’s vertices

tekilochka [14]

Part 1

Using the distance formula,

$AB=\sqrt{(-2-1)^{2}+(2-7)^{2}}=\sqrt{34}\\\\BC=\sqrt{(-2-4)^{2}+(2-2)^{2}}=6\\\\AC=\sqrt{(1-4)^{2}+(7-2)^{2}}=\sqrt{34}$

So, the measure of the longest side is 6 units.

Part 2

Triangle ABD will have vertices A(1,7), B(-2, 2), and D(1,2).

We already know that $AB=\sqrt{34}$

Using the distance formula,

$AD=\sqrt{(1-1)^{2}+(7-2)^{2}}=5\\\\BD=\sqrt{(-2-1)^{2}+(2-2)^{2}}=3$

So, ABD is a scalene triangle.

Part 3

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2 years ago

Simplify 2(x - 3) + 7(x + 2)

lyudmila [28]

Answer:

9x + 8.

Step-by-step explanation:

2(x - 3) + 7(x + 2)

= 2x - 6 + 7x + 14

= 2x + 7x - 6 + 14

= 9x + 8.

Hope this helps!

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4 years ago

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