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2 years ago

For each of the figures, write an absoulute value equation that has the following solution set.

Mathematics

2 answers:

laila [671]2 years ago

8 0

The solution set -18 and 0 are the true values of the absolute value equation

The absolute value equation that has the a solution set of -18 and 0 is |x + 9| = 9

<h3>How to determine the absolute value equation?</h3>

From the figure, the solution sets of the absolute value equation are given as:

x = {-18, 0}

Calculate the mean of the solution set

Mean = 0.5 * (-18 + 0)

Mean = -9

Calculate the difference of the solution set divided by 2

Difference = (0 + 18)/2

Difference = 9

The absolute value equation is the represented as:

|x - Mean| = Difference

Substitute known values

|x + 9| = 9

Hence, the absolute value equation that has the a solution set of -18 and 0 is |x + 9| = 9

Read more about absolute value equation at:

brainly.com/question/2166748

Maksim231197 [3]2 years ago

5 0

Answer:

|x+9|=9

Step-by-step explanation:

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What is the solution to the system of equations?

Burka [1]

Answer:

(10, -20).

Step-by-step explanation:

y= -5x + 30

x = 10

Substitute x = 10 in the first equation:

y = -5*10 + 30

y = -50 + 30

y = -20.

So the solution is (10, -20).

4 0

3 years ago

Read 2 more answers

!!! find the indicated side of the triangle PLZ HELP

taurus [48]

Answer:

a=17√2

Step-by-step explanation:

Hi there!

We are given a right triangle with the measure of one angle being 45°, and one of the sides being measured 17

we need to find a

first, let's find the measure of the other angle

because it's a right triangle, the sum of the acute angles are complementary, meaning they add up to 90°

let's make the unknown degree of the other angle x

so that means to find x:

45+x=90

subtract 45 from both sides

x=45°

that means the measure of the other angle is 45°

You may notice since we have two angles with the same measure, that means this triangle is isosceles.

That means the other leg (the other side that isn't marked) is also 17

of course, you could solve for a using Pythagorean theorem, but there's actually a shortcut:

in 45°-45°-90°Δ, the legs are a specific value, and the hypotenuse (the side opposite from the 90° is the value of the legs*√2 (for example, if the legs are 3, then the hypotenuse is 3√2). To remember the rule, if the legs have a measure of s, the hypotenuse has a measure of s√2

therefore the measure of a is 17√2

Hope this helps!

8 0

3 years ago

4.2x = 13.23 (i need help please!!! it'd mean a lot!!!) its solving equations btwwww

Semenov [28]

Answer: x=3.15
All you do is divide 13.23 by 4.2

7 0

3 years ago

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A company offers a raffle whose grand prize is a $35,000 new car. Additional prizes are a $1,100 television and $600 computer. T

anastassius [24]

Answer:

-$ 10.13

Step-by-step explanation:

Given,

The cost price of each ticket = $ 22,

So, the value of each ticket other than price ticket = - $ 22, ( negative sign shows loss,i.e. if we don't get the price we will have the loss of $ 22 )

Now, there are 3 tickets in which first is of $35,000 price, second is of $1,100 and third is of $ 600,

So, the value of first ticket = 35000 - 22 = $ 34978,

Value of second ticket = 1100 - 22 = $ 1078,

Value of third ticket = 600 - 22 = $ 578,

Also,

$\text{Probability}=\frac{\text{Favourable outcome}}{\text{Total outcome}}$

Hence, by the above information we can make a table for the given situation,

Number 2997 1 1 1

Price -$ 22 $ 34978 $ 1078 $ 578

Probability 2997/3000 1/3000 1/3000 1/3000

Therefore, the expected value of a ticket

$=-22\times \frac{2997}{3000}+34978\times \frac{1}{3000}+578\times \frac{1}{3000}$

$=-$10.126$

≈ - $ 10.13

5 0

3 years ago

How many triangles exist with the given angle measures?

sesenic [268]

Answer:

The answer would be one triangle. it is only one triangle because the sum of the angles of any triangle have to equal 180°. So if you add all of the angles you gave us, that would equal 180°.

I hope that was the answer you were looking for.

Step-by-step explanation:

4 0

3 years ago