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Bad White [126]
4 years ago
6

Use the distributive property to simplify -8(5x-3)

Mathematics
2 answers:
Alexxandr [17]4 years ago
6 0

Answer:

-40x+24

Step-by-step explanation:

Use distributive property.

-8(5x-3)\\\rightarrow -8 * 5x = -40x\\\rightarrow -8*-3= 24\\\\\text {So: }-8(5x-3) \rightarrow -40x+24

marishachu [46]4 years ago
5 0

Answer:

−40x+24

Step-by-step explanation:

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3rd option is the correct answer 
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Cos(theta) = - 3/4 and is in the 3rd quadrant, find the following:
elena-14-01-66 [18.8K]

Answer:

\begin{gathered} sin(\theta)=\frac{-\sqrt{7}}{4} \\ cos(\theta)=-\frac{3}{4} \\ tan(\theta)=\frac{\sqrt{7}}{3} \\ csc(\theta)=-\frac{4}{\sqrt{7}} \\ sec(\theta)=-\frac{4}{3} \\ cot(\theta)=\frac{3}{\sqrt{7}} \end{gathered}

Step-by-step explanation:

If theta is in the third quadrant, draw the diagram to easily identify the other trigonometric relations:

Solve for the missing leg of the triangle, using the Pythagorean theorem:

\begin{gathered} \text{ adjacent}^2+\text{ opposite}^2=\text{ hypotenuse}^2 \\ -3^2+\text{ opposite}^2=4^2 \\ \text{ opposite=}\sqrt{16-9} \\ \text{ opposite=}\sqrt{7} \end{gathered}

Therefore, for the trigonometric relationships:

\begin{gathered} \text{ sin\lparen}\theta)=\frac{opposite}{hypotenuse} \\ \text{ cos\lparen}\theta)=\frac{adjacent}{hypotenuse} \\ tan(\theta)=\frac{opposite}{adjacent} \\ csc(\theta)=\frac{hypotenuse}{opposite} \\ sec(\theta)=\frac{hypotenuse}{adjacent} \\ cot(\theta)=\frac{adjacent}{opposite} \end{gathered}

Now, substitute and solve for the relations:

\begin{gathered} sin(\theta)=\frac{-\sqrt{7}}{4} \\ cos(\theta)=-\frac{3}{4} \\ tan(\theta)=\frac{\sqrt{7}}{3} \\ csc(\theta)=-\frac{4}{\sqrt{7}} \\ sec(\theta)=-\frac{4}{3} \\ cot(\theta)=\frac{3}{\sqrt{7}} \end{gathered}

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1 year ago
What is the distance between (-4,6) and (3,-7)
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(-7 , 13) is the distance
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3 years ago
diane draws abtuse, isoscules triangle with one of the angle mesuring 35. what i sthe messer of teh obtuse triangle
RoseWind [281]

Answer:

All angle = (110°, 35°, 35°)

Step-by-step explanation:

Given:

Triangle is a Obtuse isosceles triangle

One angle = 35°

Find:

All angle

Computation:

In the Obtuse isosceles triangle, one angle is obtuse and the other two angles are acute so, two equal angles are 35°

So,

Sum of angle property

x + 35° + 35° = 180°

x = 110°

Obtuse angle = 110°

All angle = (110°, 35°, 35°)

5 0
3 years ago
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