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Sedaia [141]
3 years ago
14

I DON’T GET THIS ONLY NEED NUMBER 6 PLEASEEE!!!!!

Mathematics
1 answer:
Sophie [7]3 years ago
4 0

\huge\text{Hey there!}

\huge\text{The word \bf{product}}\huge\text{ means multiply in}\\\huge\text{mathematics.}

\huge\text{The number is unknown so we can label}\\\huge\text{it as: x}

\huge\text{Your equation will be setup like this: -2.5x = 60}

\text{-2.5x = 60}\\\text{First divide both sides by -2.5}\rightarrow\dfrac{-2.5\text{x}}{-2.5} = \dfrac{60}{-2.5}\\\text{Cancel out:}\dfrac{2.5\text{x}}{2.5}\text{ because it equals 1}\\\\\text{Keep:}\dfrac{60}{-2.5}\text{because it helps us find the unknown number}\\\\\\\boxed{\boxed{\text{Answer: x = -24}}}\checkmark

\text{Good luck on your assignment and enjoy your day!}

~\frak{LoveYourselfFirst:)}

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Answer:

<h2>x = 6.5 cm</h2>

Step-by-step explanation:

The segment 20.2 cm is the tangent. Therefore x and 20.2cm are perpendicular.

Use the Pythagorean theorem:

leg^2+leg^2=hypotenuse^2

We have

leg=x,\ leg=20.2cm,\ hypotenuse=(14.7+x)cm

Substitute:

x^2+20.2^2=(14.7+x)^2           <em>use (a + b)² = a² + 2ab + b²</em>

x^2+408.04=14.7^2+(2)(14.7)(x)+x^2          <em>subtract x² from both sides</em>

408.04=216.09+29.4x        <em>subtract 216.09 from both sides</em>

191.95=29.4x         <em>divide both sides by 29.4</em>

x\approx6.5\ cm

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3 years ago
Identify whether the given pairs of events in a roulette game are mutually exclusive. Drag the items on the left to the correct
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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer: Choice A)  3 \sqrt{26}

==================================================

Work Shown:

\text{The two points are } (x_1,y_1) = (6,7) \text{ and }  (x_2,y_2) = (3,-8)\\\\d = \text{Distance between } (x_1,y_1) \text{ and } (x_2,y_2)\\\\d = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2} = \text{Distance Formula}\\\\d = \sqrt{(6-3)^2+(7-(-8))^2}\\\\d = \sqrt{(6-3)^2+(7+8)^2}\\\\

d = \sqrt{(3)^2+(15)^2}\\\\d = \sqrt{9+225}\\\\d = \sqrt{234}\\\\d = \sqrt{9*26}\\\\d = \sqrt{9}*\sqrt{26}\\\\d = 3\sqrt{26}\\\\

When going from 234 to 9*26, the idea here is to factor where one factor is the largest perfect square possible. That way we can use the rule \sqrt{x*y} = \sqrt{x}*\sqrt{y} to break up the root and simplify.

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