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3 years ago

What is the solution set?

Mathematics

1 answer:

evablogger [386]3 years ago

5 0

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I used MathPapa to get the answer </span>

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The first coordinate of the point ( - 3, 2) indicates the point is located

Tom [10]

Answer:

In the first coordinate

Step-by-step explanation:

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3 years ago

(60 points)

natka813 [3]

Answer:

Step-by-step explanation:

$2.\\(a-b)^2=a^2-2ab+b^2\\\\x^2-16x=-8\\\\x^2-2(x)(8)=-8\\\\\text{We have}\ 2ab=2(x)(8).\ \text{Therefore}\ b=8.\\\\x^2-2(x)(8)=-8\qquad\text{add}\ 8^2=64\ \text{to both sides}\\\\x^2-2(x)(8)+8^2=-8+64\\\\(x-8)^2=56$

$5.\\2x^2+x-1=2\qquad\text{subtract 2 from both sides}\\\\2x^2+x-3=0\\\\2x^2+3x-2x-3=0\\\\x(2x+3)-1(2x+3)=0\\\\(2x+3)(x-1)=0\iff 2x+3=0\ \vee\ x-1=0\\\\2x+3=0\qquad\text{subtract 3 from both sides}\\2x=-3\qquad\text{divide both sides by 2}\\\boxed{x=-\dfrac{3}{2}}\\\\x-1=0\qquad\text{add 1 to both sides}\\\boxed{x=1}$

$6.\\2x^2-4x=0\qquad\text{divide both sides by 2}\\\\x^2-2x=0\\\\x(x-2)=0\iff x=0\ \vee\ x-2=0\\\\\boxed{x=0}\\\\x-2=0\qquad\text{add 2 to both sides}\\\boxed{x=2}$

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3 years ago

Consider this number in scientific notation. 3.75 × 108 Which is true about writing the number in standard form? Check all that

Deffense [45]

Answer:2,5

Step-by-step explanation:

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3 years ago

Suppose you decide to run a chicken farm. If you started with have 30 chickens and the chicken population grows at 13% per week.

masya89 [10]

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3 years ago

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What are the possible lengths for x, the third side of a triangle, if two sides are 21 and 10

SashulF [63]

To solve we need to use Pythagoras theorem ( $a^{2} + b^{2} = c^{2}$ )

There are 2 possible lengths for x: hypotenuse or one of the 2 shorter sides.

Hypotenuse:
10^{2} + 21^2 = $x^{2}$
100+441= $x^{2}$
$\sqrt{541} = \sqrt{ x^{2} }$
23.3≈x

Shorter leg:
$10^2 + x^2=21^2$
$x^2= 21^2-10^2$
$x^{2}$ = 441-100
$\sqrt{ x^{2} } = \sqrt{341}$
x≈18.47

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3 years ago