Mathematics High School

AC
B is between the points A and C on
Write an equation using the information in
terms of x. Find x, AB, and BC.
AB = 8x + 5
BC = 5x - 9
AC = 74

Answers

Answer 1
X is 6
AB is 53
BC is 21
Answer 2

The equation is given as: 13x - 4 - 74 = 0

The value of x is 6

AB = 53

BC = 21

Given,

B is between points A and C on AC.

AB = 8x + 5

BC = 5x - 9

AC = 74

We need to write an equation using the information in terms of x
We also need to find x, AB, and BC.

What does it mean to have a point between two points of a line?

If there is a point between two points of a line, the sum of the two lines separated by the point is equal to the line given.

Example:

M______N____________O

Then,

MN + NC = MO

Find the equation that represents AC with point B between A and C.

We have,

A______B___________C

AB = 8x + 5

BC = 5x - 9

AC = 74

Now,

AC = AB + BC

74 = 8x + 5 + 5x - 9

74 = 13x - 4

13x - 4 - 74 = 0

Find x.

74 + 4 = 13x

78 = 13x

x = 78 / 13

x = 6

Find AB

AB = 8x + 5  

= 8x6 + 5

= 48 + 5

= 53

Find BC

BC = 5x - 9

= 5x6 - 9

= 30 - 9

= 21

Thus,

The equation is given as: 13x - 4 - 74 = 0

The value of x is 6

AB = 53

BC = 21

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Related Questions

Multiply (3)x(−4)x(2).

Answers

-24..........!!!!!!!!!!

Answer:

-24x²

Step-by-step explanation:

remove the parentheses, multiply the numbers, apply exponent rule and add the numbers

Is compare 3 >,< or =
Is compare 4 >,< or =
Please help

Answers

Answer:

First one is <

Step-by-step explanation:

Second one is =

Sarah's parents started a savings account for her when she was 12. The plan her parents chose earns 3.2% each year, and her parents initial deposit was $3500. How much will be in Sarah's savings account after 3 years when Sarah is ready to look for a car?

Answers

Answer:

  $3846.87

Step-by-step explanation:

Assuming the interest is compounded annually, the value in 3 years is ...

  FV = P(1 +r)^t

  FV = $3500(1.032^3) ≈ $3846.87

Sarah's account will be worth about $3846.87.

10 What is the slope of the line that passes through the points
(-6, 13) and
(8, -29)?
-3 3 -1/3 1/3

Answers

Answer:

Slope: -3

Step-by-step explanation:

-29-13=-42

8-(-6)= 14

-42/14= -3

Multiply 15×2.23**








 Simplify the expression: 4x+2+12x+17*









 Divide: 0.24÷0.012**







 Give two numbers that are less than -4.​

Answers

Answer:

33.45

16x+19

20

-14x+28+6x=-44 simplify.

Answers

Add 6x and 14x
Subtract 28 from -44
Divide -8x and -72 by -8
x=9

1. Given that point M is the midpoint of AC , find the coordinates of the missing

endpoint when you are given one endpoint and the coordinates of the midpoint.

M(-2, 2) and A(2,8)

Answers

Given:

Coordinates of point A are (2,8).

Point M(-2,2) is the midpoint of AC.

To find:

The coordinates of C.

Solution:

Let the coordinates of point C are (a,b).

Formula for midpoint:

[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

Using the above formula, the midpoint of A(2,8) and C(a,b) is

[tex]M=\left(\dfrac{2+a}{2},\dfrac{8+b}{2}\right)[/tex]

[tex](-2,2)=\left(\dfrac{2+a}{2},\dfrac{8+b}{2}\right)[/tex]

On comparing both sides, we get

[tex]\dfrac{2+a}{2}=-2[/tex]

[tex]2+a=-4[/tex]

[tex]a=-4-2[/tex]

[tex]a=-6[/tex]

and,

[tex]\dfrac{8+b}{2}=2[/tex]

[tex]8+b=4[/tex]

[tex]b=4-8[/tex]

[tex]b=-4[/tex]

Therefore, the coordinates of point c are (-6,-4).

Find the distance between each pair of points (-1,4) and (1,-1)

Answers

Answer:

d = [tex]\sqrt{29}[/tex]

Step-by-step explanation:

[tex]d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\d= \sqrt{(1-(-1))^2+(-1-4)^2} \\d= \sqrt{(2)^2+(-5)^2} \\d= \sqrt{4+25} \\d=\sqrt{29}[/tex]

The distance between each pair of points (-1,4) and (1,-1) is √29 units after using the distance formula.

What is a distance formula?

It is defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.

The distance formula can be given as:

[tex]\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

It is given that:

The distance between each pair of points (-1,4) and (1,-1)

Two points are (-1, 4) and (1, -1)

To find the distance between the above two points using the distance formula:

[tex]\rm d=\sqrt{(1-(-1))^2+(-1-4)^2}[/tex]

[tex]\rm d=\sqrt{(1+1)^2+(-1-4)^2}[/tex]

The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division

d = √[(2)² + (-5)²]

d = √(4 + 25)

d = √29 units

Thus, the distance between each pair of points (-1,4) and (1,-1) is √29 units after using the distance formula.

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5x-2=8+5y solve for y

Answers

Answer:

y = x - 2

Step-by-step explanation:

8 + 5y = 5x - 2

5y = 5x -2 - 8

5y = 5x - 10

5y/5 = (5x - 10)/5

y = x - 2

The equation 5x - 2 = 8 + 5y can be written as in terms of x as y = x - 2; the answer is y = x - 2.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

The equation is:

5x - 2 = 8 + 5y

The above equation represents the linear equation in one variable.

To solve for y make the subject as y

5y = 5x - 2 - 8

5y = 5x - 10

y = (5x - 10)/5

y = x - 2

Thus, the equation 5x - 2 = 8 + 5y can be written as in terms of x as y = x - 2; the answer is y = x - 2.

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HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!

Answers

I believe the answer should be B

please help will mark brainlist​

Answers

Step-by-step explanation:

Step by Step Solution:

More Icon

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "/-19" was replaced by "/(-19)".

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

s/(-19)-(-29)=0

Step by step solution :

STEP

1

:

s

Simplify ———

-19

Equation at the end of step

1

:

s

——— - -29 = 0

-19

STEP

2

:

Rewriting the whole as an Equivalent Fraction

2.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using -19 as the denominator :

-29 -29 • -19

-29 = ——— = —————————

1 -19

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

s • -1 - (-29 • 19) 551 - s

——————————————————— = ———————

19 19

Equation at the end of step

2

:

551 - s

——————— = 0

19

STEP

3

:

When a fraction equals zero

3.1 When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

551-s

————— • 19 = 0 • 19

19

Now, on the left hand side, the 19 cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

551-s = 0

Solving a Single Variable Equation:

3.2 Solve : -s+551 = 0

Subtract 551 from both sides of the equation :

-s = -551

Multiply both sides of the equation by (-1) : s = 551

simplify ^3√p^4 q^6 r^5

Answers

Answer:

3p^2q^3r^2√r

Step-by-step explanation:

Tom has 40$ to spend. He spend $21.40 on a light saber. He needs to set aside $15 for a toda t-shirt. If skittles cost $0.58 per package, what is the maximum number of skittles packages he can buy? PLEASE HELP

Answers

Tom would have enough money to buy 6 bags

Answer:

6

Step-by-step explanation:

40 - 21.40 = 18.6

18.6 - 15, for the amount he sets aside for shirt = 3.6 left to spend

3.6 divided by 0.58 = 6.20

so rounded, the answer should be 6 packages of skittles

Use the steps to finish writing an equivalent equation for y in terms of x. −6x = 12 − 4y 1.  Subtract 12 from both sides: −6x − 12 = −4y 2.  Divide −4 to both sides: −6x − 12 −4 = −4y −4 x + 3 = y

Answers

Answer: 1.5x

Step-by-step explanation:

Answer:

1.5x + 3 = y

Step-by-step explanation:

−6x = 12 − 4y

1.  Subtract 12 from both sides: −6x − 12 = −4y

2.  Divide −4 to both sides: -6x-12 over -4 = -4y over -4

Answer ASAP Which is a y-intercept of the continuous function in the table? (5, 0) (0, 1) (0, 5) (1, 0)

Answers

Answer:

(0, 5 )

Step-by-step explanation:

The y- intercept is where the function crosses the y- axis.

This occurs when x = 0 , thus

From the table when x = 0 , f(x) = 5 , thus

y- intercept is (0, 5 )

y- intercept is (0, 5 )

Which of the following is the solution to lx-13 k 18 ?
A. x < 31
B. x < 31 and x > -5
C. X<31 and x < -5
D. X<31 or x > -5

Answers

I think d is the answer

Evaluate -Z + 7.49 for Z = -7.1

Answers

14.59

To solve, simply plug -7.1 into -Z. Since Z is negative in the equation, it will turn the Z that’s given to us into a negative. Since that Z is already negative, it will now become a positive since that’s what two negatives being multiplied make. This is what your problem will look like:

-(-7.1) + 7.49
7.1 + 7.49 = 14.59

3 + 6b = 5b
b =
Help

Answers

Answer:

b= -3

Step-by-step explanation:

3= -b

b= -3

Answer:

b= -3

Step-by-step explanation:

3+6b=5b

6b-5b=-3

b=-3

What’s y-6=4(x+3) in slope intercept form?

Answers

Answer:

Step-by-step explanation:

y = 4x + 18

Find the endpoint of Segment AB, if A(2,5) and the midpoint is (0, 2).

Find the other end point!

Answers

Answer:

Step-by-step explanation:

(x + 2)/2 = 0

x + 2 = 0

x = -2

(y + 5)/2= 2

y + 5 = 4

y = -1

(-2, -1) the other endpoint

n + m-a=d solve for m

HELP!!

Answers

Answer:

m = d - n + a

Step-by-step explanation:

Subtract n and add a on both sides to isolate m

how do I do this :( I tried but I can’t figure out how to

Answers

Answer:

Step-by-step explanation: got you

slope 2/3

x   |    y

0      -1

2/3    0

You can type the same equation in desmos.com. Press graphing calculator and graph the equation it should give you the answer

The table below shows two equations:
Equation 1 |2x - 3| + 5 = 4
Equation 2 15x + 31 – 10 = 3
Which statement is true about the solution to the two equations?

Answers

Answer:

First x=-2

Second x= -11.94

Step-by-step explanation:

1 |2x-3|+5=4

2x+3+5=4

2x+8=4

2x=-4

Divide by 2 for both parties

X = -2

Number 2

215x +31-10=3

215x+21=3

215x= -18

Divide by 215 on both sides

X= - 11.94

11+4+x=x+9. kaksjdjdbdjjdjdbdbd

Answers

Answer:

x=0.6

Step-by-step explanation:

11+4+x=x+9

15+x=x+9

15x=9x

             9/9=1

9/15=0.6

x=0.6

In the figure below, O is between M and P, and N is the midpoint of MO. IF NO=3 and MP = 10, find OP.

Answers

Answer:

OP = 4

Step-by-step explanation:

N is the midpoint of MO.

Since NO = 3, then MN = 3, and MO = 3 + 3 = 6

MO + OP = MP

6 + OP = 10

OP = 4

A line segment is also a line but the line with finite length and having fixed endpoints. The length of the line segment OP is 4 units.

What is a line?

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely.

Given the following details as:

O is between M and P.N is the midpoint of MO. NO=3 and MP = 10.

Now, from the figure, We have,

Since O is between M and P and N is the midpoint between MO

MP = MN + NO + OP _____(1)

Now,

N is the midpoint of MO so,

MN = N0

N0 = 3 and MP = 10 ____(2)

MN = NO = 3 _______(3)

From (1)

MP = MN + NO + OP

Substituting (2) and (3) in (1)

10 = 3 + 3 + OP

10 = 6 + OP

Subtracting 6 on both sides

10 - 6 = 6 + OP - 6

4 = OP

OP = 4

Thus, OP = 4.

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4/11x10/8
What is the answer

Answers

Answer:

5/11

Step-by-step explanation:

4/11 × 10/8

= 40/88

= 5/11

Factor completely
6х2 - 23х + 20

Answers

-6x^2 - 23x - 20
-(6x^2 + 23x + 20)
-(3x + 4)(2x + 5)

Answer:

The answer is (2x-5) (3x-4).

What is the product of 2x - 5 and 3x2 + 5x - 7? Write your answer in standard form.

(a) Show your work.
(b) Is the product of 2x – 5 and 3x2 + 5x - 7equal to the product of 5x - 2 and 3x2 + 5x - 7? Explain your answer​

Answers

Answer:

(2x - 5 ) (3x^2 + 5x - 7) = 6x^3 - 5x^2 - 39x - 35

The product of 2x – 5 and 3x2 + 5x - 7equal to the product of 5x - 2 and 3x2 + 5x - 7 are not equal.

Step-by-step explanation:

Product means multiplication

Product of 2x - 5 and 3x^2 + 5x - 7

(2x - 5 ) (3x^2 + 5x - 7)

= 6x^3 + 10x^2 - 14x - 15x^2 - 25x - 35

Collect like terms

= 6x^3 + 10x^2 - 15x^2 - 14x - 25x - 35

= 6x^3 - 5x^2 - 39x - 35

Product of 5x - 2 and 3x^2 + 5x - 7

(5x - 2) (3x^2 + 5x - 7)

= 15x^3 + 25x^2 - 35x - 6x^2 - 10x + 14

Collect like terms

= 15x^3 + 25x^2 - 6x^2 - 35x - 10x + 14

= 15x^3 + 19x^2 - 45x + 14

The product of 2x – 5 and 3x^2 + 5x - 7equal to the product of 5x - 2 and 3x^2 + 5x - 7 are not equal.

They both consist of different variables in their multiplier

HELP MEEE OMGGGG JESSUS AMENNN

Answers

Answer:

Answers in the pics

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below ;)

Which of the following is a factor of 10x + 5?
A. 5
B. 10
C. х
D. 5x

Answers

the factor is A which is 5

Based on our analysis, options A and D are factors of 10x + 5. Therefore, the correct answers are: A. 5 and D. 5x

To determine which of the given options is a factor of 10x + 5, we need to check if the option can be divided evenly into 10x + 5.

Let's go through each option:

A. 5: Yes, 10x + 5 can be divided evenly by 5, as (10x + 5) ÷ 5 = 2x + 1.

B. 10: No, 10x + 5 cannot be divided evenly by 10, as 10 is greater than 10x + 5.

C. х (x): No, 10x + 5 cannot be divided evenly by x, as x is a variable and cannot be factored out completely.

D. 5x: Yes, 10x + 5 can be divided evenly by 5x, as (10x + 5) ÷ 5x = 2 + (1/x).

Based on our analysis, options A and D are factors of 10x + 5. Therefore, the correct answers are: A. 5 and D. 5x

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