If ab=4x-10,Bc=x-1 and b is the midpoint of ac, find ab

Answers

Answer 1

Answer:

          AB = 2

Step-by-step explanation:

If B is the midpoint of AC then:

 AB  =  BC

4x - 10 = x - 1

+10         +10

4x  =  x + 9

-x       -x

3x  =  9

÷3      ÷3

x = 3

AB = 4x - 10 = 4×3 - 10 = 12 - 10 = 2


Related Questions

Evaluate the function f(x)=6x+2 at the given values of the independent variable and simplify.
a. f(8) b. f(x+6) c. f(−x)
. f(8)= (Simplify your​ answer.)

Answers

[tex]f(x) = 6x+2[/tex]

A.

To evaluate f(8), we substitute x with 8 in our expression.

[tex]f(8) = 6*8 + 2\\f(8) = 48 +2\\f(8) = 50[/tex]

Answer: f(8) = 50

B.

To evaluate f(x+6), we do the same but substitute x with x+6 instead.

[tex]f(x+6) = 6(x+6) + 2[/tex]

Expand the parenthesis by multiplying 6 with x and 6.

[tex]f(x+6) = 6x + 6*6 + 2\\f(x+6) = 6x+36+2\\f(x+6) = 6x+38[/tex]

Answer: f(x+6) = 6x + 38

C.

Again, we're doing the same thing, just substituting x with -x.

[tex]f(-x) = 6 * (-x) + 2\\ f(-x)=-6x+2[/tex]

Answer: f(-x) = -6x+2

Answer:

_____________________________________________

[tex] \longmapsto \: f(x) = 6x + 2[/tex]

_____________________________________________

A. [tex]f(8) = 6(8) + 2 = 48 + 2 = \boxed{ 50}✓[/tex]

_____________________________________________

B. [tex]f(x + 6) = 6(x + 6) + 2 \\ = 6x + 36 + 2 \\ = \boxed{ 6x + 38}✓[/tex]

_____________________________________________

C. [tex]f( - x) = 6( - x) + 2 = \boxed{ - 6x + 2}✓[/tex]

_____________________________________________

The endpoints of AB are at A(1, -6) and B(7,-3). Find the coordinate of the midpoint M of the
segment.

Answers

Answer:

(4,-9/2)

Step-by-step explanation:

(1+7/2,-6-3/2)

(4,-9/2)

if you saved 25 thousand dollars an hour, 40 hours per week for 2020 years, how much money do u have saved up ?!

Answers

Answer:

i dunno

Step-by-step explanation:

you have saved up $105,328,571,000. (don't know if its right or not? its 25,000 by 40. There are 105328.571 weeks in 2,020 years and you multiply that by the answer.

Write the equation g(x) of the transformation of the parent graph f(x) = |x| stretched horizontally by a factor of 3.

Answers

Answer:

g(x) = |1/3x|

Step-by-step explanation:

f(x) = |x|

y = f(Cx) 0 < C < 1 stretches it in the x-direction

g(x) = |1/3x|

We can start with: f(x) = |x|

0 < c < 1 means x-direction stretch

y = f(cx)

3 unit horizontal stretch

After: g(x) = |1/3x|

Best of Luck!

Is 7, 695 divided by 855 positive or negative?

Answers

Answer:

Negative

Step-by-step explanation:

A positive divided by a negative will always be negative.

Answer:

if they are both positive its positive

if ones positive and ones negitive its negative

if they are both negative its positive

Step-by-step explanation:

I will give brainliest and thank you to whoever helps/answers this

Answers

Answer:

0 0 6

0 6 0

6 0 0

Step-by-step explanation:

Simple place value

1) Students in Jake's class were numbered in order from 1 to 24. Jake was asked to
choose classmates numbered with multiples of 5 to be in his group. Which
number could be the number of a classmate in his group?
>) 15
>) 16
() 21
>)7

Answers

Answer:

15

Step-by-step explanation:

15 is the only number with a multiple of 5.

The Number of classmates in his group is less than 21

What is an inequality?

An inequality is an inequation separated by <,>≥,≤.  the relationship between two values that are not equal is defined by inequalities. Inequality means not equal. Generally, if two values are not equal, we use “not equal symbol (≠)”. But to compare the values, whether it is less than or greater than, different inequalities are used.

Given here: Jake's class has 24 students and she is to choose a group which is a multiple of 5

Thus the possible multiples of 5 between 1 and 24 are

5,10,15,20

Therefore all these multiples are less than 21

Hence, The Number of classmates in his group is less than 21

Learn  more about inequalities here:

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In an AP with 18 terms the common difference is $-3$−3 . If the nth term is $-5$−5, what is its first term?

Answers

Answer:

46

Step-by-step explanation:

The n th term of an AP  is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here d = - 3 and [tex]a_{18}[/tex] = - 5 , thus

a₁ + (17 × - 3) = - 5

a₁ - 51 = - 5 ( add 51 to both sides )

a₁ = 46

Answer:

a = 46

Step-by-step explanation:

Refer to the attachment.

Solve each literal equation for the given variable y=x+12;x

Answers

Answer:

Step-by-step explanation:

x + 12 = y

x = y - 12

Solve for x. 6x+11=3x-10

Answers

subtract 3x from both sides
3x + 11 = -10
subtract 11 from both sides
3x = -1
divide both sides by 3
x = -1/3

6(1 + 5n) − 6n = 174

Answers

Answer:

N=7

Step-by-step explanation:

1. Distribute the 6 into the parentheses

6+30n-6n=174

2.combine like terms

6+24n=174

3. Subtract 6 on both sides

24n=168

4.now divide

24/24 cancels out 24/168 is what 7 soooo

n=7

which of these numbers is between 2 and -3 on the number line

Answers

1, -1, -2 are numbers between 2 and -3

The midpoint of segment AB is (-2,5). The coordinates of point A are (-7,3). Find the coordinates of point B.
A)
(3,7)
B)
(3, 1)
09
(7,3)
D)
(-13, 1)

Answers

Answer:

A) (3,7)

Step-by-step explanation:

If the value of x goes from -7 to -2, that means to get the coordinate b you have to add 5 again, so the x value of coordinate B is 3. Then, if the value of y goes from 3 to 5 you have to add 2 to the y-value again to get 7. So the y value is 7. Meaning the final answer is (3,7)

Answer:

A) (3,7)

Step-by-step explanation:

if you graph the given points you see that point A from the mid point is 2 rise and 5 run. Count that same rise over run to find B. Look at graph for help.

At the fair the ratio of male to females was 8:6. If there are 112 people at the fair how many males are there?

Answers

Answer:

64

Step-by-step explanation:

Let the common multiplier of the given ratio be x.

Therefore,

Number of males = 8x

Number of females = 6x

[tex]8x + 6x = 112 \\ 14x = 112 \\ x = \frac{112}{14} \\ x = 8 \\ number \: of \: males = 8x = 8 \times 8 = 64 \\ [/tex]

PLEASE HELP MY BIRTHDAY WILL BE CANCELLED IF I DONT GET A GOOD GRADE ON THIS

Answers

Answer:

Option 4

Step-by-step explanation:

If the circle is filled in them it will be either ≤, ≥, ≈ .

One circle is open one is closed

eric planted a seedling in his garden

Answers

Answer:

how is this a question......


Davis saved $1000 and then found a savings account that will give him 10% interest per year.
Represent the money in his account after n years.
1) Arithmetic or Geometric:
2) Common difference/ratio:
3) Recursive Formula:
4) Explicit Formula:

Answers

Answer:

1000x0.1=n

Step-by-step explanation:

first year he had 1000

second year they times the 1000 by .1 because thats ten percent

D
Question 1
(02.03)
Read the following statement: Line segment CD is congruent to line segment XY.
Which of the following is an equivalent statement? (4 points)

Answers

???????????????????????

help please? i have no idea what i’m doing

Answers

Since the acute angle is in the corner of angle P and J, we have to base our answer off the angle we know. So angle PQ/JK is similar to angle PS/JL
Answer b would be your best bet I think because of the image

If a and bare negative, then a + b is also negative.

Answers

Step-by-step explanation:

Example: -2+-5

It can also be written as -2-5.

How I do these problems, I do 2+5, which is 7. Then I add a negative sign. So -2+-5 or -2-5 is equal to -7.

-a+-b can also be written as -a-b. So yes, if a and bare negative, then a + b is also negative.

hope it helps!

What will be the coordinates of the upper-right vertex of
the next largest (fourth) square in the pattern?
(5,5)
(7,7)
(8,8)
(16, 16)

Answers

Answer:8,8

Step-by-step explanation:

Took the test on edge

Answer:

C. (8, 8)

Step-by-step explanation:

Edge 2022. ^

Alex has 84 quarters and nickels worth a total of $17.80. Which equation can be used to find q, the number of quarters Alex has? 0.25q + 0.05(q – 84) = 17.80 0.05q + 0.25(84 – q) = 17.80 0.25(q – 84) + 0.05q = 17.80 0.05(84 – q) + 0.25q = 17.80

Answers

Answer:

D

Step-by-step explanation:

The equation can be used to find q is 0.05(84 - q) + 0.25q = 17.80 option (D) 0.05(84 - q) + 0.25q = 17.80 is correct.

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.

We have:

Alex has 84 quarters and nickels worth a total of $17.80.

As we know,

1 nickel = 5 cents

1 dime = 10 cents

1 quarter = 25 cents

1 dollar = 100 cents

The amount that Alex = 84 quarters + $17.80

q = 84 quarters + $17.80

q is the number of quarters Alex has.

Remaining nickel value = 84 - q

In cents:

= 0.05(84 - q)

q in cents:

= 0.25q

0.05(84 - q) + 0.25q = 17.80

Thus, the equation can be used to find q is 0.05(84 - q) + 0.25q = 17.80 option (D) 0.05(84 - q) + 0.25q = 17.80 is correct.

Learn more about the linear equation here:

brainly.com/question/11897796

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Points A, B, and C are collinear. Point B is between A and C. BC=8x+709. AB=487+5x. AC=91. Find BC.

Answers

Answer:

           BC = 29

Step-by-step explanation:

Point B is between A and C and the points A, B, and C are collinear so:

AB + BC = AC

487 + 5x + 8x + 709 = 91

  13x + 1196 = 91

       - 1196      - 1196

   13x  =  - 1105

     ÷13     ÷13

    x = - 85

BC =  8x + 709 = 8(-85) + 709 = - 680 + 709 = 29

What is the image point of (0,1) after a translation right 5 units and up 5 units

Answers

Answer:

5, 6

Step-by-step explanation:

Answer:

5,6

Step-by-step explanation:

Pls help!!!!!!! Determine the lowest common denominator for each sum or difference.
X
7/6 + (-5/12)
Common Denominator: 10
Common Denominator: 12
Common Denominator: 24
X
13/24 + 7/12
3/2 - 4/5
x
1/8-5/3
x
-3/4+ (-2/3)
x
5- 7/10

Answers

Answer:

Common Denominator 10: 5-7/10 and 3/2-4/5

Common Denominator 12: -3/4 + (-2/3) and 7/6 + (-5/12)

Common Denominator 24: 1/8-5/3 and 13/24+7/12

Hopefully This Helps You :)

Answer:

Common Denominator 10:    5-7/10          and              3/2-4/5

Common Denominator 12:    -3/4 + (-2/3)     and     7/6 + (-5/12)

Common Denominator 24:    1/8-5/3        and         13/24+7/12

Step-by-step explanation:

A cookie factory uses 4 1/4 bags of flour in each batch of cookies. The factory uses 8 1/2 bags of flour yesterday. How many batches of cookies did the factory make

Answers

Answer:

2

Step-by-step explanation:

4 1/4 bags of flour multiplied by 2 is 8 2/4 and that's equivalent to 8 1/2

Answer:

The answer is 2 Batches

Step-by-step explanation:

The answer is 2 because 4 1/4 multiplied by 2 is 8 2/4 or in a simplified version 8 1/2.

Solve the quadratic equation for x. What is one of the roots?

2x2 + 9x − 5 = 0
A) −
1
2
B) −
1
5
Eliminate
C)
1
2
D)
1
5

Answers

Answer:

this is the answer to your question

Twenty people are members of a local bowling club. Eight of them are men. What percentage of the
bowling team are women?

Answers

Answer:

60% of them are women 40% are men

Juan is rappelling down a 495-foot cliff at a rate of 6 feet per second. Which equation would represent the height Juan is above the ground, H, after t seconds?

Answers

Answer:

The equation is H = 495 -6t

Step-by-step explanation:

Here, we want to write an equation that will represent the height Juan is above the ground, after t seconds.

The height we want to calculate is H. The initial height is 495 foot;

At the first second, the decrease in height will be 6 * 1, at the second 6 * 2 and thus at t seconds, the decrease in height will be 6 * t = 6t

Ask the height after t seconds will be;

H = 495 - 6t

Where t represents the time in seconds

What is the value of x?
5 + 2/3x = -x + 20
Please explain:

Answers

The value of X is 9.

Solve for x by simplifying both sides of the equation, then isolating the variable.

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