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pychu [463]
3 years ago
5

A _____ is accepted to be true without proof, while a _____ is an assertion that can be proven using the rules of logic.

Mathematics
1 answer:
deff fn [24]3 years ago
5 0

Answer:

A <u>postulate</u> is accepted to be true without proof, while a <u>theorem </u>is an assertion that can be proven using the rules of logic.

Explanation:

In mathematics, a postulate is a statement that is considered to be true without looking for any proof of that statement. Other hypotheses or statements can be tested using a postulate as a standard. A postulate is not only significant in mathematics but also plays an important role in understanding the concept of physics.

A theorem can be described as a statement that can be proved right by using logical pieces of evidence.

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What’s the answer no work needed<br> Given f (x) = 5x2 and g(x) = 2x + 3, find f(g(-4))
Crazy boy [7]

Answer:

125

Step-by-step explanation:

Given

f(x) = 5x²

g(x) = 2x + 3

Now

g(-4) = 2 * (- 4) + 3

= - 8 + 3

= - 5

Also

f(g(-4)) = f( -5)

= 5 * ( -5)²

= 5 * 25

= 125

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3 years ago
Find the slope of each line.
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Answer:

D

Step-by-step explanation:

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3 years ago
A triangle in the coordinate plane has the following vertices: P(-4,-3), 1(-2,-2), G(-2,-4). What are the new coordinates if the
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P’(-1, 1), I’ (1, 2), G’(1,0)

Step-by-step explanation:

7 0
3 years ago
A triangle has side lengths of 10, 11, and 15 . what type of triangle is it?
Trava [24]
Answer: scalene and obtuse

Justification:

You can find the angles using the law of cosine:

c^2 = a^2 + b^2 - 2abcos(γ)

=> cos(γ) = [a^2 + b^2 - c^2] / (2ab)

1) cos(γ) = [10^2 + 11^2 - 15^2] / (2*10*11) = - 0.0181818

=> γ = arccos(-0.0181818} ≈ 91°

2) cos(α) = [b^2 + c^2 - a^2 ] / 2bc = [11^2 + 15^2 - 10^2] / (2*11*15] = 0.7454545

=> α = arccos(0.7454545) ≈ 41.8°

3) cos(β) = [a^2 + c^2 - b^2] / (2ac) = [10^2 + 15^2 - 11^2] /(2*10*15) = 0.68

=> β = arccos(0.68) ≈ 47.2°

4) Verification: 91° + 41.8° + 47.2° = 180°

5) The triangles with the three different sides are called scalenes (which you can tell with only the measures of the sides).

6) The triangles with one angle greater than 90° are called obtuse.

So, the triangle is scalene and obtuse.
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3 years ago
If an object is dropped from a height of 116 feet, the function h(t)=-16t^2+116 gives the height after t seconds. When will the
ElenaW [278]
What is h(t) represent?
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