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4 years ago

Graph the solution of the inequality 2x - (3 - x) > x + 1 on the number line.

Mathematics

1 answer:

RoseWind [281]4 years ago

6 0

Answer:

The graph is in the image

Step-by-step explanation:

$2x -(3-x)>x+1\\\\\begin{bmatrix}\mathrm{Solution:}\:&\:x>2\:\\ \:\mathrm{Interval\:Notation:}&\:\left(2,\:\infty \:\right)\end{bmatrix}$

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I need the answer to this, i don’t understand this .

tekilochka [14]

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3 years ago

In AGHI, h = 300 inches, G=30° and H=29º. Find the length of i, to the nearest inch.

dalvyx [7]

Given:

In triangle GHI, h = 300 inches, G=30° and H=29º.

To find:

The length of i.

Solution:

We have, G=30° and H=29º.

Using angle sum property, we get

$m\angle G+m\angle H+m\angle I=180^\circ$

$30^\circ+29^\circ+m\angle I=180^\circ$

$59^\circ+m\angle I=180^\circ$

$m\angle I=180^\circ-59^\circ$

$m\angle I=121^\circ$

According to Law of sines,

$\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}$

Using Law of sines, we get

$\dfrac{h}{\sin H}=\dfrac{i}{\sin I}$

$\dfrac{300}{\sin 29^\circ}=\dfrac{i}{\sin 121^\circ}$

$\dfrac{300}{0.4848}=\dfrac{i}{0.8572}$

Multiply both sides by 0.8572.

$\dfrac{300}{0.4848}\times 0.8572=i$

$530.44554=i$

$i\approx 530$

Therefore, the length of i is about 530 inches.

6 0

3 years ago

4+5(6t+1) and 9+30t equivalent or not equivalent

andrezito [222]

Answer:

No, 4+5(6t+1) EQUALS 9+30t

And 9+30t Equals 3(3+10t)

Step-by-step explanation:

GCF=3

3(9/3 + 30t/ 3) =

3(3+10t)

And

4+5(6t+1)

4+30t+5

30t+ (4+5)

Simplifying =

30t+9

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3 years ago

6/8 equals how many quarters?

allsm [11]

Your answer would be 3/4 (three quarters).

-----------------------------------------------------------------------------------------------------------------

This can be simplified even further because both the numerator (6) and the denominator (8) can be divided by 2.

So-- 6 divided by 2 would be 3, and 8 divided by 2 would be 4. 3/4 cannot be simplified even further so this would be your final answer.

I hope this helped you out a bit :]

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3 years ago

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coldgirl [10]

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3 years ago