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2 years ago

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Mathematics

1 answer:

harkovskaia [24]2 years ago

7 0

A statement that is assumed to be true without proof is a(n) Theorem

A statement that has been shown to be true by vigorous application of logic is a(n) ---> Conjecture

A(n) Axiom is a statement that is believed to be true but hasn't been proven.

<h3 /><h3>What's the big difference between a definition and a theorem?</h3>

A definition is both a precise and a general statement of the significance of a mathematical term.

It does this by laying down all of the characteristics of the word together with the structures that need to be true.

This is how the meaning of the word is defined. A mathematical assertion that can be demonstrated using logically sound mathematical reasoning is called a theorem.

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The vertex of this parabola is at (-2,-3). When the y-value is -2 the x-value is -5. What is the coefficient of the square term

olchik [2.2K]

Answer:

a = -3

Step-by-step explanation:

You're correct.

The form of the equation you need is

$x=a(y-k)^2+h$

Filling in our h, k, y, and x:

$-5=a(-2+3)^2-2$ which simplifies to

$-5=a(1)-2$ which simplifies further to

$a=-3$

Very good!!!! These can be tricky, but you got it!!

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3 years ago

Find the side of a square whose diagonal is of the given measure. Given = 15 square root 2

MatroZZZ [7]

If the square is 15 units on each side, then its diagonal would be √(15²)+(15)²=√450=15√2 ☺☺☺☺

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3 years ago

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marusya05 [52]

Step-by-step explanation:

I answered that already.

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2 years ago

The sum of three consecutive even numbers is 84. What is the smallest of the three numbers?

kari74 [83]

Answer: 26

Step-by-step explanation: In this problem we have 3 consecutive even numbers whose sum is 84 and it asks us to find the smallest number.

Consecutive even numbers can be represented as x, x + 2, and x + 4.

Since the sum of these is 84, our equation reads

x + (x + 2) + (x + 4) = 84.

Simplifying on the left we get 3x + 6 = 84.

Subtract 6 from both sides and we have 3x = 78.

Divide both sides by 3 and x = 26.

So our smallest number is 26.

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4 years ago

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Lelu [443]

Answer my questions I gotchu

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3 years ago