the midpoint of a horizontal line segment is at x=1 if the length of the line segment is 10.5. what absolute value equation could be used to find the x value of the endpoints

Answers

Answer 1

Answer: -4.25 ≤ x ≤ 6.25

Step-by-step explanation:

The midpoint of a segment is located at the same distance of each of the endpoints of the segment.

The midpoint is at x = 1.

The length of the segment is 10.5, if we divide it by two we have:

10.5/2 = 5.25

Now, if we want the endpoints to be at the same distance of the midpoint, then the endpoints will be:

Xmax = midpoint + 5.25

Xmin = midpoint - 5.25

Then the extremes are:

Xmax = 1 + 5.25 = 6.25

Xmin = 1 - 5.25 = -4.25

Then this segment can be written as:

Xmin ≤ x ≤ Xmax

-4.25 ≤ x ≤ 6.25


Related Questions

Need help asap! HDTV screens usually have a width-to-height ratio of 16:9. Which screen dimensions are in the same proportion?
26in by 19in,
48cm by 27cm,
4ft by 3ft,
28in by 21in

Answers

Answer:

48cm by 27cm

Step-by-step explanation:

[tex] \frac{48}{27} = \frac{48 \div 3}{27 \div 3} = \frac{16}{9} [/tex]

Is -4,488/24 positive or negative?

Answers

Negative
-4488/24 = -187

Answer:

negative

Step-by-step explanation:

positives and negatives make a negative

Find the median for Andy's test scores: 76, 84, 93, 67, 82, 87. *

Answers

Answer:82 Step-by-step explanation: by putting the numbers in order, 82 lands in the middle.

If the 11th of a geometric sequence is 32 times larger than the 6th term, then what is the common ratio of the sequence?

Answers

Answer:

2

Step-by-step explanation:

Hello, let's note [tex](a_n)[/tex] this sequence and r the ratio, we can write

[tex]a_n=a_0r^n[/tex]

With [tex]a_0[/tex] different from 0 and then

[tex]a_{11}=32a_6<=>a_or^{11}=32a_0r^6<=>r^{11-6}=32=2^5<=>r^5=2^5<=>r=2[/tex]

Thanks

Find x if AB = 9, BC = 2x - 5,
and AC = x + 9

Answers

Answer:

x = 5

Step-by-step explanation:

Using the fact that line segments AB and BC are parts of the whole line segment AC, we can write the following equation:

AB + BC = AC

Now, using the given values, we can substitute in for the equation and solve for x:

AB + BC = AC

9 + 2x - 5 = x + 9

2x + 4 = x + 9

x = 5

Thus, we have found that for these sets of equations for these line segments, our value for x should be 5.

Cheers.

Answer:

x=5

Step-by-step explanation:

AB + BC = AC

9+ 2x-5 = x+9

Combine like terms

2x+4 = x+9

Subtract x from each side

2x+4-x = x+9-x

x+4 = 9

Subtract 4 from each side

x+4-4 = 9-4

x=5

Solve the quadratic equation using factoring x2 + 3x + 2 = 0.
Ox= 1, x= 2
Ox=-1, x=-2
Ox=1, x=3
Ox=-1, x=-3

Answers

Answer:

x= -1  and also x = -2

Which agrees with the second option in your list of answers

Step-by-step explanation:

We look for two numbers whose product is "2" (constant term in your quadratic equation) and which added give "3" (coefficient in the middle term with "x"). So we find the factors 1 and 2:

1 times 2 = 2 and 1 + 2 = 3

So we use these factor to expand the middle term and then factor by grouping:

[tex]x^2+3x+2=0\\x^2+x+2x+2=0\\x(x+1)+2(x+1)=0\\(x+1)(x+2)=0[/tex]

Then for this product of binomials to give zero, each binomial must be zero. That is

x= -1  and also x = -2

The pizza has an area of 78.5 in². What is the minimum width of a placemat that can be placed underneath it so that the pizza does not touch the table? Use 3.14 for pi. someone pls help me

Answers

Answer:

10 inches

Step-by-step explanation:

Given:

Area of pizza = 78.5 in²

To find:

Minimum width of placement to be placed underneath the pizza so that it does not touch the table?

Solution:

We are actually required to find out the diameter of the circular pizza here.

That will be the minimum width of the placement to be placed underneath the pizza so that pizza does not touch the table.

Let us have a look at the formula of area of a circle.

[tex]A=\pi r^2[/tex]

Where [tex]r[/tex] is the radius of the circle

We are given that

[tex]A = 78.5\ in^2[/tex]

[tex]\Rightarrow 78.5 = \pi r^2\\\Rightarrow 78.5 = 3.14\times r^2\\\Rightarrow \dfrac{78.5}{3.14} = r^2\\\Rightarrow r^2=25\\\Rightarrow r =5\ in[/tex]

Now, we know that the diameter is given as twice of the radius.

So, minimum width required = Diameter = 2 [tex]\times[/tex] 5 = 10 inches

-2-5 is equivalent (equal) to -2+(-5)
True
False

Answers

Answer:

  True

Step-by-step explanation:

Subtracting a number is identical to adding its opposite.

  -2 -5 = -2 +(-5)

The statement is True.

_____

If you doubt this, you can have your calculator tell you what the answers are.

Classify the polygon. Then determine whether it appears to be regular or not regular. A. stargon; regular B. hexagon; not regular C. pentagon; not regular D. pentagon; regular

Answers

The answer to the question is c

A geometric sequence is shown on the graph below. What is the formula for the nth term of the sequence?

Answers

Answer:

aₙ = 40*(1/2)ⁿ⁻¹

Step-by-step explanation:

As per graph we have:

a₁ = 40, a₂ = 20, a₃ = 10, a₄ = 5, a₅ = 2.5

So the first term is 40 and common ratio is

20/40= 10/20 = 5/10 = 2.5/5 = 1/2

Formula for nth term is:

aₙ = a₁rⁿ⁻¹aₙ = 40*(1/2)ⁿ⁻¹

Donna Divider sees the “Multiples of 5” list and says, “Multiples of 5 are all divisible by 5! They can all be divided by 5 with no remainder!” Is Donna correct? Explain why this is so.

Answers

Answer:

Donna is correct

Step-by-step explanation:

Since every number that is a multiple of 5 is 5 times a number, it means that that number can be divided by 5 and result in the other number that produced it. Meaning there is no remainder.

850 people took part in a marathon. 42% of them were women and the
rest were men.
(a) How many of the participants were women?​

Answers

We are going to do a proportion with the effective number and the percentage

42% of 850 are women

42 : 100 = x : 850

x = (850 * 42)/100 = 357

The women were 357

Answer:

[tex] \frac{42}{100} \times 850 = 357womens[/tex]

Ashley wants to travel to Florida with her friends. A round trip plane ticket is $299. She has $42. Her parents are willing to chip in 3 times whatever she saves for the trip. She can babysit on the weekends for $20/hour. How many more hours will Ashley have to work until she has enough money for the trip?

Answers

Answer:

hi

Step-by-step explanation:

Give an expression in simplified for the perimeter of the figure below.​

Answers

Answer:

14x + 10

Step-by-step explanation:

distribute and add

Make the divisor and dividend a whole number by multiplying the divisor and dividend by

Answers

Answer:

100

Step-by-step explanation:

By multiplying both numbers by 100, you'd get

3403 and 830

If you'd multiply by ten, you'd get

340.3 and 83

In this case, it asks both the dividend and the divisor.

I'm sorry if I misunderstood.

Good luck mate! :)

Please add Brainliest if you'd like, not that it matters.

Remember to try your best every day!

14y+36=106 solve the problem

Answers

Answer:

y = 5

Step-by-step explanation:

14y + 36 = 106. subtract 36 from both sides, so now the equation is 14y = 70 because 36 is cancelled out. now divide both 14y and 70 by 14, which leaves you with y = 5

For the set C= {6,8}, determine n(C).

Answers

Step-by-step explanation:

Hey, there!!

C = {6,8}

n(C) means cardinality of set.

We define cardinality of set as the no. of elements present in set.

It contains 2 no. of elements.

so, its cardinality is n(C) is 2.

Hope it helps...

What is the length of Line segment A B? Round to the nearest tenth. Triangle A B C is shown. Angle A C B is a right angle and angle C A B is 75 degrees. The length of C A is 10 meters and the length of hypotenuse A B is x. 9.7 m 10.4 m 37.3 m 38.6 m

Answers

Answer:

D.) 38.6 m

Step-by-step explanation:

Use the cosine ratio:

[tex]cosine=\frac{adjacent}{hypotenuse}[/tex]

Because we are given the measure of an angle and the length next to it (adjacent), and we need to find the hypotenuse (the hypotenuse is NEVER considered the adjacent side). Insert the values:

[tex]cos75=\frac{10}{x}[/tex]

Now isolate the variable. Multiply both sides by x:

[tex]x(cos75)=x(\frac{10}{x} )[/tex]

The x's on the right side cancel each other out. Simplify:

[tex]x*cos75=10[/tex]

Now divide both sides by cos75°:

[tex]\frac{x*cos75}{cos75} =\frac{10}{cos75}[/tex]

The cos75° on the left side cancels each other. Simplify:

[tex]x=\frac{10}{cos75}[/tex]

Insert this value into a calculator to simplify the value of x:

[tex]x=38.6[/tex]

The hypotenuse is 38.6 m.

:Done

Answer:

D) 38.6

Step-by-step explanation:

just took the test

6th grade math help. Can someone explain step by step how to solve #1 please

Answers

Answer:

87

Step-by-step explanation:

start with the innermost parenthesis first

{4+3*[5+3*(8)]-4}

order of operations: multiply before you add

{4+3*[5+24]-4}

{4+3*[29]-4}

order of operations: multiply before you subtract

{4+87-4}

solve left to right

{91-4}

87

Scenario: You are headed to New Orleans to visit a friend. You
just got your driver's license and your parents are very strict -
they won't let you drive over 50 miles per hour. When you tell
your friend the bad news, they insist on getting on their bicycle
and coming to meet you somewhere in the middle.
They aren't
very fast on their bicycle, but your friend can travel a solid 10
miles per hour.


Question: Where will y'all meet up?

Answers

Answer:

you want a specific place as an answer? or the mileage?

160 is what % of the sum of 100 and 120 and 160

Answers

Answer:

42% I think

Step-by-step explanation:

The total was 380 so divide 160 by 380 (160÷380) and you get .42 or 42%

Answer:

42.1%

Step-by-step explanation:

100+120+160=380

so  160=p*380/100

p=160*100/380≈42.1

Describe the type of solution for the given system of linear equations.
x + 4y = 7
8y = 14 - 20

a. infinite solutions
b. two solutions
c. no solution
d. one solution

Answers

Answer:

B

Step-by-step explanation:

Find the prime factorization of the number 26

Answers

Answer:

26 is a composite number. 26 = 1 x 26 or 2 x 13. Factors of 26: 1, 2, 13, 26. Prime factorization: 26 = 2 x 13.

Answer:

The Prime factorization: 26 = 2 x 13.

Explain:

26 is a composite number. 26 = 1 x 26 or 2 x 13. Factors of 26: 1, 2, 13, 26. So the Prime factorization: 26 = 2 x 13.

Hoped I helped

need help! Vertical stretch of 7, up 8, reflect over x axis

Answers

It’s 64 be cause I took the quiz and I got the answer right!

Rewrite 3/2 : 1/4
as a unit rate.

Answers

Answer:

6

Step-by-step explanation:

 That would be:

      3                    6

     ----                -------

      2                     4

----------------  = -------------- = 6    This is the unit rate.

      1                       1

    -----                  ------

       4                      4

Answer:

6

Step-by-step explanation:

HELP ME ASAP

If measuring the volume of a liquid is in milliliters (mL), what are the units if I wanted to measure the volume of a solid (like a cube)?

Answers

Answer:

cm3,m3 etc...

Step-by-step explanation:

SInce 3D objects are solids and are different than 2D measurements,we use the measurement Centimeters "Cubed".You may ask what do you multiply to get the volume of a solid?Well the way i was taught was Length * Width * Height.(Stars mean Multiplication)

e.g. Lets say you have a cube,the length is 3,width is 3,height is 4 this is how it looks like

V=L x W x H

=3 x 3 x 4

=36 cm3

That's how Volume is calculated

Can you please help me with this

Answers

Answer:

the first one

Step-by-step explanation:

7 - (-5) - 1 = 7 + 5 - 1 = 11

3 + 9 - 18 = -6

4 + (-14) - 5 = 4 - 14 - 5 = -15

8 - 12 - (-4) = 8 - 12 + 4 = 0

Can someone help me , & help me understand the symbols better ? I really need help by someone who’s good at this !

Answers

Answer:

section 3 (numbered top to bottom left to right)section 7

Step-by-step explanation:

The symbols of interest here are ...

  ∪ -- union. Everything that is in either of the sets.

  ∩ -- intersection. Everything that is in both of the sets.

  superscript C -- complement. Everything that is not in the set. An apostrophe (') can also be used to signify the complement.

__

(a) A∩B∩C'

In the first attachment, set A is all of the sections marked 2, 3, 5, 6. Set B is all of the sections marked 3, 4, 5, 7. The sections in both sets are where the circles for A and B overlap:

  A∩B = {3, 5}

The sections that are not in set C are 1, 2, 3, 4. So, the one section that is in A∩B, but outside C is section 3.

The checked section is shown in the second attachment.

__

(b) A'∩B∩C

In the first attachment, set A' is all of the sections marked 1, 4, 7, 8. These are all of the sections not in set A. The ones of these that are also in set B are 4 and 7. And the one of these that is also in set C is section 7.

The checked section is shown in the third attachment.

Solve the given differential equation by using an appropriate substitution. The DE is a Bernoulli equation.
x dy/dx + y = 1/y^2

Answers

Multiplying both sides by [tex]y^2[/tex] gives

[tex]xy^2\dfrac{\mathrm dy}{\mathrm dx}+y^3=1[/tex]

so that substituting [tex]v=y^3[/tex] and hence [tex]\frac{\mathrm dv}{\mathrm dv}=3y^2\frac{\mathrm dy}{\mathrm dx}[/tex] gives the linear ODE,

[tex]\dfrac x3\dfrac{\mathrm dv}{\mathrm dx}+v=1[/tex]

Now multiply both sides by [tex]3x^2[/tex] to get

[tex]x^3\dfrac{\mathrm dv}{\mathrm dx}+3x^2v=3x^2[/tex]

so that the left side condenses into the derivative of a product.

[tex]\dfrac{\mathrm d}{\mathrm dx}[x^3v]=3x^2[/tex]

Integrate both sides, then solve for [tex]v[/tex], then for [tex]y[/tex]:

[tex]x^3v=\displaystyle\int3x^2\,\mathrm dx[/tex]

[tex]x^3v=x^3+C[/tex]

[tex]v=1+\dfrac C{x^3}[/tex]

[tex]y^3=1+\dfrac C{x^3}[/tex]

[tex]\boxed{y=\sqrt[3]{1+\dfrac C{x^3}}}[/tex]

What is the slope of the line with equation y + 2 = 5 (x - 3) ?

Answers

Answer:

Step-by-step explanation:

y + 2 = 5x - 15

y = 5x - 17

slope is 5

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