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4 years ago

-x-2>2(3-x) solve the inequality

1 answer:

3 0

$Solution, -x-2>2\left(3-x\right)\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x>8\:\\ \:\mathrm{Interval\:Notation:}&\:\left(8,\:\infty \:\right)\end{bmatrix}$

$Steps:$

$\mathrm{Expand\:}2\left(3-x\right):\quad 6-2x, -x-2>6-2x$

$\mathrm{Add\:}2\mathrm{\:to\:both\:sides}, -x-2+2>6-2x+2$

$\mathrm{Simplify}, -x>-2x+8$

$\mathrm{Add\:}2x\mathrm{\:to\:both\:sides},-x+2x>-2x+8+2x$

$\mathrm{Simplify}, x>8$

The correct answer is x>8

Hope This Helps!!!

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Two ropes, AD and BD, are tied to a peg on the ground at point D. The other ends of the ropes are tied to points A and B on a fl

Kazeer [188]

Answer: 10 ft

Explanation

As two right triangles (a triangle with a 90º angle) are formed, to know the distance between AB we have to calculate BC, AC and subtract.

0. Calculating BC

We have a 30º angle and an adjacent side 5√3ft (as the hypotenuse is the side opposite to the 90º angle). Thus, using the tangent function where:

$\tan\theta=\frac{opposite}{adjacent}$

we can find the opposite side, which is BC. Replacing the values and simplifying we get:

$\tan(30\degree)=\frac{BC}{5\sqrt{3}}$ $BC=5\sqrt{3}\tan(30\degree)$ $BC=5ft$

Thus, the segment BC measures 5ft.

2. Calculating segment AC.

In this case, our hypotenuse changes. However, we are still looking for the opposite side. Using the tangent function as before we get:

$AC=5\sqrt{3}\tan(60\degree)$ $AC=15$

3. Calculating the distance between A and B

$AC-BC=15-5=10ft$

6 0

1 year ago

40 POINTS HELPP ME ITS BEEN SO LONG HELP PLEASEEE HELP PLEASEE HELPP Stevie needed twine for the gifts she was wrapping for a fa

Gnoma [55]

Answer:

Your answer would be:

57.75 or 57 3/4

(I will show how many of each length of twine that is on the graph)

Point 2 1/4:

Point 2 3/4:

Point 3:

Point 3 1/2:

Point 3 3/4:

Point 4:

Point 4 1/4:

We can show how much length in total Stevie used with the following equation:

(2 1/4 x 2) + (2 3/4 x 4) + ( 3 x 1 ) + ( 3 1/2 x 2 ) + (3 3/4 x 3 ) + (4 x 1 ) + (4 1/4 x 4)

Each smaller equation in paraphrases shows how much of each length of twine at each point with x's on the number line. Altogether it would equal 57.75 or 57 3/4.

Step-by-step explanation:

Have a great rest of your day

#TheWizzer