If AB = BC, AB = 4x -2, and BC = 3x + 3, find the
length of AB.

Answers

Answer 1

Answer:

AB = 18

Step-by-step explanation: AB = BC

                      4x -2 = 3x + 3... subtract 3x and add 2

                      1x = 5.. divide both sides by 1 and x= 5

                                       plug x into 4x -2

                                           4(5) -2 = 18

Answer 2

The measure of length AB, If AB = BC, AB = 4x -2, and BC = 3x + 3, then AB is 18.

What is a line segment?

A line segment is a straight line with finite length, and thus, have to endpoints(points on either ends).

We have been given that AB = BC,  AB = 4x -2, and BC = 3x + 3, then we need to find the length of AB.

Therefore,

AB = BC

Now substitute the given parameters;

AB = BC

4x -2 = 3x + 3

Then subtract 3x both the sides and add 2;

1x = 5

Then divide both sides by 1

x= 5

Now plug x into 4x -2

AB = 4x -2

AB =  4(5) -2 = 18

AB = 18

Hence, The measure of length AB, If AB = BC, AB = 4x -2, and BC = 3x + 3, then AB is 18.

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Related Questions

the temperature is -1F. if the temperature rises 10F, what will the new temperature be?

Answers

Answer:

9F

Step-by-step explanation:

-1 + 10 = 9

Therefore your answer is 9F

one-third of a number t is less than or equal to 5

Answers

Answer:

t ≤ 15

Step-by-step explanation:

One third of 15 is equal to five (1/3 × 15 = 5)

One third of t is lesser than or equal to five (1/3 × 5 ≤ 5)

So, t cannot be more than 15. It can be equal to 15, though.

∴t ≤ 15

Which rational number equals 02 ? ( 1 point ) 1/10 1/9 2/10 2/9

Answers

Answer:

2/10!

Step-by-step explanation:

Hope it helps!

OwO

Ben has 9 packs of balloons. He has 54 balloons in all. How many balloons are in
each pack?
6
5
4
My Progress >

Answers

Answer:

6 because 54÷9 is 6

there is 6 balloons in each pack.

The number of balloons in each pack will be 6. The correct option is A.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Ben has 9 packs of balloons. He has 54 balloons in all. The number of the ballons will be calculated as,

Number = Total balloons / Packs of ballons

Number = 54 / 9

Number = 6

Hence, the number of balloons in each pack will be 6. The correct option is A.

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What is the value of x in 6 - 4x = 7x - 9x + 10

Answers

Answer:

[tex]x=-2[/tex]

Step-by-step explanation:

So we have the equation:

[tex]6-4x=7x-9x+10[/tex]

First, combine like terms on the right:

[tex]6-4x=-2x+10[/tex]

Add 4x to both sides. The left cancels:

[tex]6=2x+10[/tex]

Subtract 10 from both sides. The right cancels:

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

Divide both sides by 2:

[tex]x=-2[/tex]

So, the value of x is -2.

And we're done!

Step-by-step explanation:

[tex]6 - 4x = 7x - 9x + 10 \\ 6 - 4x = - 2x + 10 \\ 6 - 10 = - 2x + 4x \\ - 4 = 2x \\ x = \frac{ - 4}{2} \\ x = - 2[/tex]

hope it helped you:)

help me please!!!!!!

Answers

The answer is : (20, -8)

Please help with this simultaneous equation you can use any method(Only number 6)

Answers

Answer:

Pencil: $0.60 Rubber: $0.48

Step-by-step explanation:

Let the cost of a pencil be p and the cost of a rubber be r.

[tex]p+r=1.08[/tex]  (Equation 1)

[tex]4p=5r[/tex]  (Equation 2)

Divide both sides by 4:

[tex]p=\frac{5}{4} r[/tex]

Substitute this into Equation 1:

[tex]\frac{5}{4} r+r=1.08[/tex]

Multiply both sides by 4:

[tex]\frac{5}{4}r* \:4+r* \:4=1.08*4[/tex]

[tex]5r+4r=4.32[/tex]

[tex]9r=4.32[/tex]

Divide both sides by 9:

[tex]\frac{9r}{9}=\frac{4.32}{9}[/tex]

[tex]r=0.48[/tex]

Since r + p = 1.08,

[tex]p=1.08=0.48=0.60[/tex]

A scale drawing of a square has a side length of 9 centimeters. The drawing has a scale of 1 cm : 3 ft. Find the actual perimeter and area of the square.

Answers

Answer:

area =729 feet square

perimeter =  108 feet

Step-by-step explanation:

Given the side of a square is 9 cm.

The scale is given as :

1 cm = 3 feet

Since 1 cm represents 3 feet.

Therefore, 9 cm will represent = 9 x 3 feet

                                                  = 27 feet

So the side of the square is 27 feet.

Therefore, its area = Side x side

                               = 27 x 27

                               = 729 feet square

And the perimeter =  4 x side

                               = 4 x 27

                                = 108 feet

1. 8 + 7k - 2
what is the answer to this

Answers

Answer:

-0.2+7k

Step-by-step explanation:

Rearrange the equation so that it is 1.8-2+7k

1.8-2=-0.2

You can't add 7k because it doesn't have a common variable

-0.2+7k

-0.2+ 7k


I can get the answer because i learn more about mathematics

how would I exactly resolve this ​

Answers

Answer:

m∠BFE = m∠BAF + m∠AFE

m∠BFE = 65º + 25º

m∠BFE = 90º

m∠AFC = m∠AFB + m∠BFC

m∠AFC = 65º + 45º

m∠AFC = 110º

m∠BFD = m∠BFC + m∠CFD

m∠BFD = 45º + 70º

m∠BFD = 115º

all numbers between 1 and 2 are rational numbers true or false

Answers

Given that

1:2

now,

1*2

2

find the 10th term f(1) = 30 ; f(n) = 2 * f(n-1) -50

Answers

Answer: :F(x)=x^2+x-6

The 10th term of the given sequence is -10190.

What is the function?

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The given function is f(1)=30; f(n)=2×f(n-1)-50.

Here,

When n=2

f(2)=2×f(2-1)-50

=2×f(1)-50

= 2×30-50

= 10

When n=3

f(3)=2×f(3-1)-50

=2×f(2)-50

= 2×10-50

= -30

When n=4

f(4)=2×f(4-1)-50

=2×f(3)-50

= 2×(-30)-50

= -60-50

= -110

When n=5

f(4)=2×f(5-1)-50

=2×f(4)-50

= 2×(-110)-50

= -220-50

= -270

When n=6

f(4)=2×f(6-1)-50

=2×f(5)-50

= 2×(-270)-50

= -540-50

= -590

When n=7

f(4)=2×f(7-1)-50

=2×f(6)-50

= 2×(-590)-50

= -1180-50

= -1230

When n=8

f(4)=2×f(8-1)-50

=2×f(7)-50

= 2×(-1230)-50

= -2510

When n=9

f(4)=2×f(9-1)-50

=2×f(8)-50

= 2×(-2510)-50

= -5070

When n=10

f(4)=2×f(10-1)-50

=2×f(9)-50

= 2×(-5070)-50

= -10190

Therefore, the 10th term of the given sequence is -10190.

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Write a function g whose graph represents a reflection in the y-axis followed by a translation 3 units to the right of the graph of f(x)=|x|.


g(x)=

Answers

Answer:

[tex]g(x) = |x - 3|[/tex]

Step-by-step explanation:

Given

[tex]f(x) = |x|[/tex]

Required

Translate 3 units right

The result of a right translated function is:

[tex]g(x) = f(x - h)[/tex]

Where h is the unit of translation

[tex]h = 3[/tex]

[tex]g(x) = f(x - 3)[/tex]

Solve for f(x - 3)

[tex]f(x) = |x|[/tex]

[tex]f(x - 3) = |x - 3|[/tex]

Hence;

[tex]g(x) = |x - 3|[/tex]

On November 4, your bank statement shows a balance of $2,253.18. Your checkbook shows a balance of $2,324.34. If there are outstanding checks in the amounts of $105.50 and $158.10, deposits in transit amount to $605.27, account earnings of $68.51 and there is a service charge of $5.00. Determine the Adjusted Checkbook Balance and the Adjusted Statement Balance. Draw a conclusion.

Answers

Answer:

adjusted check book balance : $ 2,387.85

adjusted statement balance : $2,594.85

Step-by-step explanation:

Given check book balance : $2,324.34

Add : Interest earned and other credits : $68.51

Subtotal : $2,392.85

Deduct service charges and other debits : $5.00

Therefore, adjusted check book balance : $ 2,387.85

Given statement balance : $2,253.18

Add : Deposit in transit : $605.27

Subtotal : $2,858.45

Deduct : outstanding checks : $105.50 + $158.10 = $263.60

Therefore, adjusted statement balance : $2,594.85

5x-29.4+1/3x, when x= -11/5

Answers

Answer:5x-29•4+1/3x

Now put x value

5 (-11/5)-29.4+1/3 (-11/5)

-11-29.4+1/(-33/5)

-202/5+1/(-33/5)

-6691/165

Step-by-step explanation:

The answer I got was -617/15

Which of the following options have the same value as 70% of 80

Choose 3.

Answers

Answer:

56 is the answer so it's A, C and E.

Step-by-step explanation:

The answer will be A, C & E Because 70 out of 100 equals 70%, seven out of 10 equals 70%, in 0.7 equals 70%


How do you evaluate 3x+8 when x=2?

Answers

Plug the x in :)

3(2) + 8
6 + 8
=14

Answer:

3x + 8 is equal to 14 when x = 2.

Step-by-step explanation:

To evaluate the expression 3x + 8 when x = 2, we simply subsititute the value of x into the expression.  We can write this expression as the function:

f(x) = 3x + 8

And we can evaluate the function when x = 2 by simply plugging in the value 2 for x:

f(x) = 3x + 8

f(2) = 3(2) + 8

f(2) = 6 + 8

f(2) = 14

Hence, the expression 3x + 8 is equal to 14 when x = 2.

Cheers.

can someone help me with this i don't really understand it

Answers

Answer:

b

Step-by-step explanation:

cuz

Answer:

b

Step-by-step explanation:

b sh he's he he'd just de jdjeueuusshsh

Which of the following is a prime number? 61 39 27 76

Answers

61 is the prime number.

39 is divisible by 3 and 13.
27 is divisible by 9 and 3.
76 is divisible by several numbers, including 2.

Answer:

the answer is 61

Step-by-step explanation:

Slope-intercept form: y=-11/10x-1
Standard form:________ ​

Answers

Hey there!☺

[tex]Answer:\boxed{11x+10y=-10}[/tex]

[tex]Explanation:[/tex]

[tex]y=\frac{-11}{10}x -1[/tex] in standard form

Rewrite in standard form.

[tex]{11x+10y=-10[/tex]

Hope this helps!

The standard form of the equation is 11x + 10y = -10.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

The given equation is  y=-11/10x-1. The standard form of the equation can be written as,

y=-11/10x-1

10y = -11x - 10

11x + 10y = -10

Hence, the standard form of the equation is 11x + 10y = -10.

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At what position on the number line is the red dot located?

Answers

Answer:

square root of 7

Step-by-step explanation:

2 times 2 is 4

3 times 3 is 9

7 is the only option between 4 and 9

(this was more the easy method lol but hope this helps)

Solve this equation 4+4|2x−1|=12.

Answers

step 1: 8|2x-1| = 12
step 2: 16x-8 = 12
step 3: 16x =12+8
step 4: 16x = 20
divide both sides by 16
step 5: x = 5/4 or 1 1/4

Answer:

x=1.5 or3/4

Step-by-step explanation:

using bodmas

remove the bracket: 4+4=(2x-1)=12

4+8x-4=12

8x=12+4-4

8x=12

x=3/2 or 1.5

Twelve increased by four times a number is
negative 8. I need the equation and solution !!

Answers

x = a number

12 + 4x = -8

Subtract 12 from both sides

4x = -20

Divide both sides by 4

x = -5

round 43628 to the thousands place​

Answers

Answer:

44,000

Step-by-step explanation:

The number 3 is in the thousands place. Round that to 4.

Your answer is 44000.

Solve for z in terms of v, w, x, and y.
vy = -ZWx
Z =
I

Answers

Answer:

lots of letters

Step-by-step explanation:

Solve for j.
-2 + 13j = 10j - 20
j=1

Answers

Answer:

Hi there!

Your answer is:

j= -6

Step-by-step explanation:

-2+13j = 10j -20

-10j

3j -2 = -20

+2

3j = -18

/3

j= -6

Hope this helps

Describe the thing in your surroundings that represents area.

Answers

Answer:

non-living and living

Step-by-step explanation:   around a person, place, or thing; environment

hope this helps!!!!

If f(x) = 3x and g(x) = x^2, then what is f(g(x))?

Answers

Answer:

3x^2

Step-by-step explanation:

f(x) = 3x

g(x) =x^2

f(gx)

substitute in the given information

f(x^2)

since f(x) = 3x

then

f(x^2) = 3x^2

Answer:

3x^2.

Step-by-step explanation:

We replace the x in f(x) by g(x):

f(g(x)) = 3 * x^2

= 3x^2.

A three-pack of sponges costs $3.21 what is the cost per sponge .

Answers

Answer:

Each sponge is $1.07.

Step-by-step explanation:

3.21 / 3 = 1.07

Answer:

So If three pack costs 3.21 you divide that number by three so 3.21 divied by three is 1.07

help pls i am comfused​

Answers

Associative Property
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