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Anna71 [15]
3 years ago
8

Write the solution to the given inequality in interval notation.

Mathematics
1 answer:
DIA [1.3K]3 years ago
4 0

Option A:  $[4, \infty)$ is the solution

Explanation:

The solution of the given inequality is the set of all the possible values of x.

The graph shows the number line in which the shaded region is from the right of -4 and the arrow of solution goes to infinity.

Also, There is a closed circle at the point -4.

This means that -4 is included in the solution set.

The solution to the inequality is the set of all the real values which are greater than or equal to -4.

Thus, the solution is x ≥ -4

Hence, the solution is $[4, \infty)$

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Compare 6,200.ft by 1.mi 900.ft
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Find the equation of a line with a slope of 13/2<br> that passes through the point (−2, — 10).
Darya [45]

Answer:  y=\frac{13}{2} x+3

Step-by-step explanation:

Remember the point-slope equation which is y-y_{1} = m(x-x_{1} )  where(x_{1} , y_{1} ) is your <u>point</u> and m is your <u>slope.</u>

<u />

Given that we substitute what you have:

y-(-10) =\frac{13}{2} (x - (-2))

Minus and minus give us positive:

y+10 =\frac{13}{2} (x +2)

Multiply slope into the parenthesis:

y+10= \frac{13}{2}x + \frac{13}{2}*2\\

Calculate it:

y+10= \frac{13}{2}x +13

Isolate the y by subtracting 10 from both sides:

y=\frac{13}{2} x + 13 -10

Your final equation is:

y=\frac{13}{2} x +3

Hope this makes sense!

And here's the graph to prove that the line actually goes through the point (-2,-10):

3 0
2 years ago
What is the value of x?
natta225 [31]
Tan Ф= opposite side / adjacent side

Data:
adjacent side=15
Ф=30º

so:
tan 30º=x/15
x=15(tan 30º)
x=15(1/2)
x=7.5

Answer: x=7.5
6 0
4 years ago
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