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Irina18 [472]
4 years ago
14

What is the value of x ?

Mathematics
2 answers:
Margarita [4]4 years ago
7 0

Answer:

x = 400

Pythagorean Theorem: a^2 + b^2 = c^2

x = 29^2 - 21^2

x= 400

defon4 years ago
3 0

Answer:

use Pythagoras theoreom and try to solve it

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In a study of the effect of handedness on athletic ability, participants were divided into three groups: right-handed, left-hand
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Answer:

Option A) Discrete and quantitative                                                          

Step-by-step explanation:

We are given the following situation in the question:

In a study of the effect of handedness on athletic ability.

Variable 1: Handedness - right-handed, left-handed, and ambidextrous

Variable 2:  Athletic ability measured on a 12-point scale.

Dependent Variable:

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For the given case the athlete ability is the dependent variable that depends on the independent variable of handedness.

Athletic ability is measured on a 12 point scale. thus, it can take numerical values from 0 to 12.

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Since theses values are always expressed in whole numbers and not in decimals so they cannot take all the values within an interval.

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Answer:

<h3>                1)  x_1=\dfrac{7+\sqrt{13}}2\,,\quad x_2=\dfrac{7-\sqrt{13}}2</h3><h3>                2)   x_1=-\dfrac13\,,\quad x_2=-3    </h3>

Step-by-step explanation:

<h3>1)</h3>

x^2 - 7x + 9 = 0\quad\implies\quad a=1\,,\ b = -7\,,\ c=9\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}=\dfrac{-(-7)\pm\sqrt{(-7)^2-4\cdot1\cdot9}}{2\cdot1}=\dfrac{7\pm\sqrt{49-36}}2\\\\x_1=\dfrac{7+\sqrt{13}}2\,,\quad x_2=\dfrac{7-\sqrt{13}}2

<h3>2)</h3><h3>3x^2 + 10x=-3\\\\3x^2+10x+3=0\quad\implies\quad a=3\,,\ b =10\,,\ c=3\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}=\dfrac{-10\pm\sqrt{10^2-4\cdot3\cdot3}}{2\cdot3}= \dfrac{-10\pm\sqrt{100-36}}6\\\\x_1=\dfrac{-10+\sqrt{64}}6=\dfrac{-10+8}6=-\dfrac13\,,\qquad x_2=\dfrac{-10-8}6=-3</h3>
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