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irakobra [83]
3 years ago
12

Find the product (3s+6t)(s+t)

Mathematics
1 answer:
Nikitich [7]3 years ago
8 0

Answer:

  3s^2 +9st +6t^2

Step-by-step explanation:

Each term of one factor is multiplied by all terms of the other factor and like terms are combined. This is an application of the distributive property.

  = 3s(s +t) +6t(s +t)

  = 3s^2 +3st +6st +6t^2

  = 3s^2 +9st +6t^2

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Ket [755]
3n - 80 = 5n + 8\\3n=5n + 88\\ -2n = 88\\\\ n = -44
4 0
3 years ago
A right triangle has a hypotenuse length of 12, and one side length of 9. find the missing side length. do the side lengths form
Rina8888 [55]

Use the Pythagorean theorem:

a^2+b^2=c^2

c - a hypotenuse

a, b - legs

We have: a = 9 and c = 12. Substitute:

9^2+b^2=12^2

81+b^2=144               <em>subtract 81 from both sides</em>

b^2=63\to b=\sqrt{63}\\\\b=\sqrt{9\cdot7}\\\\b=\sqrt9\cdot\sqrt7\\\\ \boxed{b=3\sqrt{7}}

A Pythagorean triple consists of three positive integers a, b and c, such that

a^2+b^2=c^2.

b=3\sqrt{7} is not positive integer.

<h3>The sides of the triangle do not form a pythagorean triple.</h3>
5 0
3 years ago
There are 16 ounces in 1 pound, Juan is mailing a package that weighs 96 ounces. He wants
Mazyrski [523]

Answer:

96oz = 6 pounds

Step-by-step explanation:

96 divided by 16 = 6 pounds

5 0
3 years ago
If line AD is a tangent to circle B at point C, and m ABC = 55°, what is the measure of BAD?
nikdorinn [45]

Answer:

145°

Step-by-step explanation:

There are a couple of ways you can get there:

1. ∠ACB is a right angle, 90°. Hence, ∠BAC is the complement of ∠ABC, so is ...

... ∠BAC = 90° -∠ABC = 90° -55° = 35°

Then, ∠BAC and ∠BAD are a linear pair, so total 180°. That makes ∠BAD the supplement of ∠BAC, so ...

... ∠BAD = 180° -35° = 145°

2. ∠BAD is the exterior angle at A for the triangle ABC. It will have a measure that is the sum of the opposite interior angles: given ∠ABC = 55° and right angle ACB = 90°.

... ∠BAD = 55° +90° = 145°

8 0
3 years ago
If you have a slope of 1/3,what would you do on a graph?
Nesterboy [21]

Answer:

A, go up 1 and right 3

Step-by-step explanation:

when looking at fractions as slope, the numerator is how far up you go, and the denominator is how far over you go.

6 0
3 years ago
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