EXPLAIN when |−x| = x would be true.
HINT: If you are stuck, try substituting each of x = -1, x = 0, and x = 1 into the equation. Then, interpret your results.

Answers

Answer 1

Answer:

It's true when x = a positive number.

Step-by-step explanation:

I don't know how to explain this, so here we go.

The definition of absolute value is the distance a number is away from 0.

In other words, all numbers are now positive or 0.

If |-x| = x, it means x would have to be positive because, well, to prove that, we have to see what it couldn't be a negative number

if x was a negative number (-1), this is what we would get

|-(-1)| = -1

|1| = -1

1 = -1

That's not right!

And this happens in any negative number you do.

Because the absolute value of something cannot be negative

I cannot stress that enough

Since it is the absolute value of -x, x has to be positive, if it isn't, then there is no solution for x.

Any number greater than or equal to zero is a possible answer for the absolute value of something, but the absolute value of something cannot be a negative number

I hope this helps, let me know if you have any questions.

Answer 2
You use it when dealing with absolute value. Those lines around the x represent absolute value. AV essentially means that whatever is in the lines equals that number, but positive. AV by definition means the distance from 0.

So, 7 and -7 are both 7 (absolute value) from 0.

Hope that helps!

Related Questions

Very much struggling with geometry right now, would appreciate the help ❤️

Answers

Answer: x= 30

Step-by-step explanation:

These are corresponding angles which means they are equal. (2x+25) = (3x-5). Subtract 2x from both sides. 25 = x-5. Add 5 to both sides. 30 = x

In rectangle LONG, LN = 40 and ON=24. Find LO.​

Answers

Answer: LN 40

Step-by-step explanation: Because thin of the answers and how to do it

Answer: LN 40

Step-by-step explanation:

Write the expression using only positive exponents. Assume no denominator equals zero.
4y^-2

Answers: none of these
-8y^2
1/4y^2
16y^2
4/y^2

Answers

Answer:

The answer is

[tex] \frac{4}{ {y}^{2} } [/tex]

Nabi has 112 inches border she uses 8 feet of the border. How much border is left

Answers

It is 16 inches hope this helps!

Which table shows equivalent ratios between the values of x and y?

Answers

Answer:

Option C

Step-by-step explanation:

The y values are 2.5 times the x value. Only graph 3 shows the correct numbers.

Hope it helps!

please help me with this im really stuck​

Answers

THE ANSWER IS: y = -x+9

y=mx+b
m=slope=(y2-y1)/(x2-x1)
use the points (0,9) and (9,0)
(0-9)/(9-0) = -9/9 = -1
so m=-1

b is the y-intercept which is where x=0
the line crosses the y axis at y=9
so b=9

plugging in m and b into y=mx+b,
you get y=-x+9

PLEASE HELP
1. Horizontal streets are parallel to each other. The angle measure of the two streets that intersect at Cathy’s Coffee is 95 degrees.

(a) Suppose you are traveling northeast from Ivan’s Ice Cream and turns West at Isabel’s Ice Cream. What is the measure of the angle created by your turning? Explain your answer in terms of what angles are congruent, supplementary, etc. to each other and why.
(b) Suppose you are traveling southwest from Beverly’s Burgers and turn East at Bob’s Burgers. What is the measure of the angle created by your turning? Explain your answer in terms of what angles are congruent, supplementary, etc. to each other and why.
(c) Suppose you are traveling southwest from Beverly’s Burgers and turn West at Connie’s Coffee. What is the measure of the angle created by your turning? Explain your answer in terms of what angles are congruent, supplementary, etc. to each other and why.
Answer:

Answers

A)

45 degrees, and it is congruent.

90/2 = 45

Since it is an Alternate Interior, it is congruent.

B)

45 degrees. It is also congruent since it is an Alternate Exterior.

C)

135 degrees. It is a linear angle/linear pair.

180-45=135

I actually worked really hard for this so please consider that. I couldn't find help anywhere.

Please can you help me with this triganometry question (*^_^*)

Answers

Answer:

I have given the rules and a sheet that should help you with this question :)

Step-by-step explanation:

I will give you the rules to help you figure it out...

So/h

 ^

Sin (°) = opposite/hypotenuse

Ca/h

 ^

Cos (°) = adjacent/hypotenuse

To/a

  ^

Tan(°) = opposite/ adjacent

Hope this helps :)

Over the period of a year, Julie's net worth decreased. Which of the following could be true?

A. Julie's assets and liabilities decreased by the same amount.
B. Julie's assets and liabilities increased by the same amount.
C. Julie's assets increased by more than her liabilities.
D. Julie's assets decreased by more than her liabilities.

Please select the best answer from the choices provided

А
B
С
D

Answers

B hope this helps!!!

Simplify expression below (7 + i)-(6-4)

Answers

Answer:

5 + i

Step-by-step explanation:

Answer:

5+i is the answer

Step-by-step explanation:

cause 6-4=2-7=5+i

1 Find the x-intercept as a point (x,y).
I'm not quite sure what to do can someome please help me quick. I'll make brainliest​

Answers

Answer:

x,0

Step-by-step explanation:

x-intercept just means where the line crosses the x axis. the x-intercept is x,0

Answer:

X intercept is ( -1 , 2)

Step-by-step explanation:

8/2 x 777/8 =

What is it?

Answers

6216/16 is the answer the mixed number is 388 1/2

Find the area of the trapezoid. A drawing of a trapezoid with length of two parallel sides equal to a mixed fraction of one and a half centimeters and three and a half centimeters. The altitude of the trapezoid is 4 centimeters.

Answers

Answer:

[tex]10cm^2[/tex]

Step-by-step explanation:

We are given that

Two parallel sides of trapezoid are

[tex]a=1\frac{1}{2}cm=\frac{3}{2}=1.5cm[/tex]

[tex]b=3\frac{1}{2}=3+0.5=3.5 cm[/tex]

Height of trapezoid, h=4 cm

We have to find the area of the trapezoid.

We know that

Area of trapezoid=[tex]\frac{1}{2}(a+b)h[/tex]

Where a and b are two parallel sides

h=Height of trapezoid

Using the formula

Area of trapezoid=[tex]\frac{1}{2}(1.5+3.5)\times 2[/tex]

Area of trapezoid=[tex]10cm^2[/tex]

The quotient law states: keep the base the same and___
the exponents.
subtract
divide
multiply
add

Answers

divide. because quotient is the answer to a division problem
Divide because you used to base and then you use the smaller number to break it into small pieces

Angles 1 and 2 are complementary. If Angle 1 measures 29.6º, then what is the measure of Angle 2? º

Answers

Answer:

60.4 degrees

Step-by-step explanation:

Complementary angles are 2 angles that add up to the sum of 90 degrees.

90-29.6=60.4 degrees

Hope this helps!

Answer: 60.4 degrees

Step-by-step explanation:

similar right triangles plss helpp

Answers

Answer:

your añswer is c) I hope it helps!

Answer:

C

Step-by-step explanation:

HELP WITHIN A HOUR!
Show work, please!

Answers

Answer:

A) 24

B) 24

Step-by-step explanation:

A) equilateral triangle means that all sides are equal

so each side is = 24 because the perimeter = 72

72/3= 24

B) 1 side = 24 and they gave you that 10+7h = 24

so h = 2

so hight of triangle = 2

Area = 1/2(b)(h)

so 24(2)(0.5) = 24

_____

Have fun, don't forget to brilliant

You put 40% of your paycheck into your savings account. If you earned $180 on your paycheck, then how much money did you put into your savings account?

Answers

Answer:

75

Step-by-step explanation:

Answer:

75

Step-by-step explanation:

Fill in the blanks. If a quadrilateral is both a __ and a __ , then it is a square.

Answers

Answer: rhombus and parralelogram

Step-by-step explanation:

Answer:

rhombus and parralelogram

Step-by-step explanation:

Please help! Will mark brainliest when I get the results back ;)

Answers

Answer:

13.7ft^2

Step-by-step explanation:

Area for triangle:

The formula for the area of a triangle in this scenario is area=(b*h)/2

The base length is 3.6ft and the height is 4.8ft. We can now substitute these values into the equation. So:

area=(3.6*4.8)/2

area=8.64ft^2 for the triangle

Area for semi-circle:

The formula for the area of a circle is area=pi*r^2. To find the area of the semi-circle, we can half the area of the circle at the end.

The question says to use 3.14 for the value of pi.

The diameter is given as 3.6ft, so to find the radius, we simply divide the diameter by 2; so 3.6/2=1.8ft for the radius

Now, we can just substitute these values into the equation above. So:

area=3.14*(1.8)^2

area=3.14*3.24

area=10.1736ft^2 (DO NOT ROUND THIS ANSWER!!).

However, this area is for the COMPLETE circle. We want the area for the semicircle shown above. Therefore, divide the circle area by 2. So:

10.1736/2=5.0868ft^2 for the semicircle.

Total area of shape

Now we have the area of the two separate shapes, we can simply add them together. So:

8.64ft^2 + 5.0868ft^2 = 13.7268ft^2 altogether (unrounded)

Now, finally we must round to 1/10, or to 1 decimal place. Therefore, the final value for the area would be 13.7ft^2.

Hope this helped!!

Plz help due tomorrow

Answers

Answer:

4n+2=15

Step-by-step explanation:

If you count 4 n's and then add 2, the bar is the same length as the 15 bar. ~logic~

Alice received a 40% on her science test. Alice correctly answered 16 questions. How many questions were on the test.

Answers

Answer:

40 questions were on the test.

Step-by-step explanation:

40%=0.4

0.4x=16

x=16/0.4

x=40

Triangle MNO is rotated 180degree using the origin as the center of rotation.

On a coordinate plane, triangle M N O has points (negative 3, 2), (negative 3, 3), (negative 5, 2). Triangle M prime N prime O prime has points (3, negative 2), (3, negative 3), (5, negative 2).

Which sequences of transformations will produce the same results? Check all that apply. Triangle MNO is rotated 180degree using the origin as the center of rotation.

On a coordinate plane, triangle M N O has points (negative 3, 2), (negative 3, 3), (negative 5, 2). Triangle M prime N prime O prime has points (3, negative 2), (3, negative 3), (5, negative 2).

Which sequences of transformations will produce the same results? Check all that apply.

Answers

Answer:

b dce

Step-by-step explanation:

Solve the simultaneous equations.
Please help

Answers

Answer:

x=1/2, y=4

Step-by-step explanation:

Double both sides of the top equation:

4x+6y=26

Now subtract boths sides of the second one from the first one:

(4x+6y) - (4x-y) = 26 - (-2)

7y = 28

so y = 4

4x-y=-2 so 4x-4=-2

4x=2

x=1/2

In ΔDEF, d = 6.4 inches, e = 7.8 inches and ∠F=33°. Find the length of f, to the nearest 10th of an inch.

Answers

9514 1404 393

Answer:

  4.3 in

Step-by-step explanation:

The Law of Cosines is applicable when you have two sides and the angle between them. The third side satisfies ...

  f² = d² + e² -2de·cos(F)

  f² = 6.4² + 7.8² -2·6.4·7.8·cos(33°) ≈ 18.0671

  f ≈ √18.0671 ≈ 4.2505

The length of f is about 4.3 inches.

all you need is in the photo

PLEASE DON'T DO STEP BY STEP


PUT ONLY THE ANSWER


PLEASEEEEEEEEEEEEEEEEEEEEE EEEEEEEÈ

aggravated​

Answers

Answer:

Step-by-step explanation:

-4 and 3

plsss helppp>

For the line y=4x+5, the parent function is ____

Answers

For the line y=4x+5 the parent function is y=x

A farm lets you pick 2 pounds of blueberries for 5 dollars.

1. the unit rate of dollars to pounds is ___ dollars per 1 pound

2. the unit rate of pounds to dollars is ___ pounds per 1 dollar

Answers

I understand but I don’t know the right answer

What is the slope of the line going through the points ( -1, 4 ) and ( -1, -3 )?
PLEASE HELP

Answers

slope is (y2-y1)/(x2-x1)
(-3-4)/(-1- -1) = -7/0

since numbers are not divisible by 0
the slope is undefined

the line is a vertical line with an undefined slope

A cylinder has a diameter of 6 cm and a height of 14 cm. What is the approximate volume of a cone with the same diameter and height
as the cylinder?

Answers

The approximate volume of a cone with the same diameter and height as the cylinder is 131.95 cm³.

How to calculate the volume of a cylinder?

In Mathematics and Geometry, the volume of a cylinder can be calculated by using this formula:

Volume of a cylinder, V = πr²h

Where:

V represents the volume of a cylinder.h represents the height of a cylinder.r represents the radius of a cylinder.

Radius = diameter/2 = 6/2 = 3 cm.

By substituting the given parameters into the volume of a cylinder formula, we have the following;

Volume of cylinder, V = π × 3² × 14

Volume of cylinder, V = π × 9 × 14

Volume of cylinder, V = 395.8 cm³.

For the volume of this cone, we have:

Volume of cone, V = 1/3 × πr²h

Volume of cone, V = 1/3 × 395.8

Volume of cone, V = 131.95 cm³.

Read more on cylinder here: brainly.com/question/14060443

#SPJ1

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