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natka813 [3]
1 year ago
6

WRITE and absolute value inequality for graph below, use X for your variable... PLEASE HELP IF CORRECT I WILL NEED HELP WITH TWO

MORE

Mathematics
1 answer:
kumpel [21]1 year ago
4 0

The absolute value inequality is given by:

|x| <= 7

<h3>What is the absolute value function?</h3>

The absolute value function is defined by:

  • |x| = x, x >= 0.
  • |x| = -x, x < 0.

The absolute value function measures the distance of a point x to the origin, that is, the distance to x = 0.

Looking at the graph, it comprehends points that are at a distance of at most 7 units to the origin, hence the absolute value inequality is given by:

|x| <= 7

More can be learned about the absolute value function at brainly.com/question/24734454

#SPJ1

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What is the directrix of the parabola defined by `(1)/(4)(y + 3) = (x − 2)^2`? A. `y = -(49)/(16)` B. `x = -(49)/(16)` C. `y = (
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Calculate the area of triangle ABC with altitude CD, given A(−7, −1), B(−1, 5), C(0, 0), and D(−3, 3)
Snezhnost [94]

Answer:

A=25 (Rounded)

Step-by-step explanation:

The first step is to find the length of BA which is the base, then you have the find the length of CD, the hight.

To find the distance, you need to use the distance formula which is

d=\sqrt{\left(x_{2}-x_{1}\right)^{2}+\left(y_{2}-y_{1}\right)^{2}} (It does not matter if A is x1 or is B is x1, it just has to remain consistent)

I am going to first find BA

d=\sqrt{\left({-7}-{-1}\right)^{2}+\left({-1}-{5}\right)^{2}}

Next, subtract accordingly

d=\sqrt{\left({-7}+{1}\right)^{2}+\left({-1}-{5}\right)^{2}}

d=\sqrt{\left({-6}\right)^{2}+\left({-6}\right)^{2}}

Once you do that, you want to square -6 and -6 which will give you

d=\sqrt{\left({36}\right)+\left({36}\right)}

Now add 36 with 36 which will leave you with

d=\sqrt{{72}}

Do that same thing for CD. If you did it right, you should be left with

d=\sqrt{{18}}

to find the area of a triangle, you must use the formula

A=\frac{B*H}{2}

The Base is \sqrt{{72}} (BA) and the Hight is \sqrt{{18}} (CD). substitute to get

A=\frac{\sqrt{{72}}*\sqrt{{18}}}{2}

Multiply the Base by the Hight to get

A=\frac{\sqrt{{1,296}}}{2}

Divide 1,296 by 2 to get

A=\sqrt{{648}}

Which is equal to

A=25.455844122715710878430397035775

Rounding it to the nearest whole number you get

A=25

Hope this helps. Feel free to ask any follow-up questions.

Have a good day! :)

6 0
3 years ago
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