A triangle has side lengths of (5k - 7) centimeters, (k - 4) centimeters, and
(3m - 9) centimeters. Which expression represents the perimeter, in centimeters,
of the triangle?

Answers

Answer 1

Answer:

-6m and -6k

Step-by-step explanation:

(5k - 7) = -2k (k - 4) = -4k + -2k = -6k. (3m - 9) = -6m.

Answer 2

Expression 6k + 3m - 20 represents the perimeter, in centimeters, of the triangle which has side lengths of (5k - 7) centimeters, (k - 4) centimeters, and (3m - 9) centimeters.

1st side length = 5k - 7 centimeters

2nd side length = k - 4 centimeters

3rd side length = 3m - 9 centimeters

Now, the perimeter of a triangle is the sum of its three sides.

So, the expression representing the perimeter of the triangle would be the sum of these side lengths:

Perimeter = (5k - 7) + (k - 4) + (3m - 9)

Further, simplifying the expression by combining like terms:

Perimeter = 5k + k + 3m - 7 - 4 - 9

Perimeter = 6k + 3m - 20

So, the expression that represents the perimeter of the triangle is (6k + 3m - 20) centimeters.

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Related Questions

Simplify the expression
( 3n • 2n^3)^2

Answers

Answer:

[tex] \large\color{red}{ \tt{36n⁸}}[/tex]

Step-by-step explanation:

[tex] \large\color{lime}{ \tt{(3n×2n³)²}}[/tex]

To multiply powers of the same base, add their exponents. Add 1 and 3 to get 4.

[tex] \large\color{lime}{ \tt{(3n⁴ × 2)²}}[/tex]

Multiply 3 and 2 to get 6.

[tex] \large\color{lime}{ \tt{(6n⁴)²}}[/tex]

Expand (6n⁴)².

[tex] \large\color{lime}{ \tt{6²(n⁴)²}}[/tex]

To raise a power to another power, multiply the exponents. Multiply 4 and 2 to get 8.

[tex] \large\color{lime}{ \tt{6²n⁸}}[/tex]

Calculate 6 to the power of 2 and get 36.

[tex] \large\color{lime}{ \tt{36n⁸}}[/tex]

Hope It's Help

3x-9=3



solve if you can

Answers

Finding the value of x,

→ 3x - 9 = 3

→ 3x = 3 + 9

→ x = 12/3

→ [ x = 4 ]

Thus, the value of x is 4.

A swimming coach needs to choose a team for a relay race. The coach must select 4 of 6 available swimmers
and put them in a strategic sequence.
How many unique ways are there to arrange 4 of the 6 swimmers?

Answers

The number of unique ways is given by the number of possible

combination having distinct members.

The number of unique ways there are to arrange 4 of the 6 swimmers are 15 ways.

Reasons:

The given parameters are;

The number of swimmers available = 6 swimmers

The number of swimmers the coach must select = 4 swimmers

Required:

The number of unique ways to arrange 4 of the 6 swimmers.

Solution:

The number of possible combination of swimmers is given as follows;

[tex]_4C_6 = \dfrac{6!}{4! \times (6 - 4)!} = 15[/tex]

Therefore, the coach can select 4 of the 6 available swimmers in 15 unique ways

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Answer:

360

Step-by-step explanation:

6!/(6-4)!

Simplify this equation

Answers

Answer:

6x²y³

Step-by-step explanation:

Answer:

6x²y³

Step-by-step explanation:

whats 1/2 + 8/11 please explain by step by step

Answers

REFER THE PICTURE FOR YOUR ANSWER !!

Whats 1/2 + 8/11

___________________

= 1/2 + 8/11

= (1 × 11)/(2 × 11) + (8 × 2)/(11 × 2)

= 11/22 + (8 × 2)/(11 × 2)

= 11/22 + 16/22

= (11 + 16)/22

= 27/22

= 1 5/22 ☑️

7-2×8+1 evaluate each of the following​

Answers

Answer:

-8

Step-by-step explanation:

u just do the 2x8 first

Hi! So in equations similar to this, you will need to use PEMDAS.

P - Parenthesis

E - Exponents

M - Multiplication

D - Division

A - Addition

S - Subtraction

Now that you know this, reevaluate your equation.

7-2x8+1

Firstly, you must multiply -2 and 8. Leaving you with -16.

7-16+1

Next, subtract 16 from 7.

-9 + 1

Finally, add -9 and 1.

-8

Your final answer is -8.


A textbook store sold a combined total of 294 physics and psychology textbooks in a week. The number of psychology textbooks sold
was 42 less than the number of physics textbooks sold. How many textbooks of each type were sold?

Answers

Answer:

105 psychology textbooks. 189 physics textbooks.

Does anyone know how to solve this:
22 - 6x > 4

Answers

Answer:

x<3

Step-by-step explanation:

22-6x > 4

solve like a regular equation for x

subtract 22 on both sides

-6x>-18

divide -6

x>3

and since 6 is negative you switch the sign

so

x<3

Towns A, B, C, and X are located along a straight highway. Town B is between A and C, and the distance from A to C is
41 miles. BC is 2 miles more than twice AB.
Town X is between A and B, 6 miles from A. Find XC.
a. 13 miles
c. 41 miles
b. 28 miles
d. 35 miles

Answers

Answer:  35 miles, but this is not an answer option.

Step-by-step explanation:

A   X   B       C

AC = 41 miles

BC = 2AB + 2  

AX = 6

AX + XC = 41        [This is the key equation.  We want XC and AX is given as 6]

6 + XC = 41          

XC = 35 miles

None of the answer options show this value.

I don't know why, since:

a.  "the distance from A to C is 41 miles." means AC = 41, and

b.  "Town X is between A and B, 6 miles from A" means AX = 6

If we say that AX + XC = 41, then 6 + XC = 41 and XC = 35

I don't know why this would be incorrect, so I'll leave it to someone else to spot the problem.

There are m marbles in a bag. Write an expression for the number of marbles in the bag when 4 marbles are taken away​

Answers

Answer:

m-4

Step-by-step explanation:

4 marbles taken away = -4 marbles

which option is correct?

Answers

Answer:

Option D

Step-by-step explanation:

It is a right triangle because AB ⊥ BC

Choose all of the equations that are equivalent to 8k = 20.

Answers

Answer:

D

Step-by-step explanation:

it's 100% I'm super sure

To find the equation of a regression line, ý = ax + b, you need these formulas:
8=13
--
b= y - az
S
A regression line has a slope of 2.334. If the mean of the x-coordinates of the
data points is 6.607, and the mean of the y-coordinates is 10.738, what is the
y-value of the y-intercept of the line to three decimal places?
A. -18.455
B. -4.683
C. 4.683
D. 18.455

Answers

Answer:-4.683

Step-by-step explanation:

Took the test

Consider the function f(x) = 3x4 − 5x2. This function is (even, odd, neither) because [ f(x) = -f(x), f(x) = f(-x), -f(x) = f(-x) ]

Answers

Answer:

odd

Step-by-step explanation:

cuz it can't be neither or even

Evaluate the expression using the values given.

4y(y + x); use x= 3/2, and y = -5/4

Answers

Answer:

-5/4 or -1 1/4

Step-by-step explanation:

Okay! We'll take this problem one part at a time so that the process is less confusing and less difficult. Here's what our expression looks like when we replace x with 3/2 and y with -5/4:

[tex]4(-\frac{5}{4} )(\frac{3}{2} +-\frac{5}{4} )[/tex]

Looks a little scary! We can start by working within the parentheses and adding the two fractions together. First, we have to make each fraction have the same denominator, so we can multiply each fraction by 3/2 to get both our fractions a denominator of 4.

[tex]\frac{3}{2} *\frac{2}{2} =\frac{6}{4}[/tex]

[tex]\frac{6}{4} + -\frac{5}{4} =\frac{1}{4}[/tex]

Now, our expression is a little easier to work with. It looks like this now:

[tex]4(-\frac{5}{4} )(\frac{1}{4})[/tex]

First, let's multiply 4 by -5/4. Then, we'll take that product and multiply it by 1/4 to get our final answer.

[tex]\frac{4}{1} * -\frac{5}{4} =-\frac{20}{4} =-5[/tex]

Alright, this is our simplest expression yet. What's -5 times 1/4?

[tex]-\frac{5}{1} * \frac{1}{4} =-\frac{5}{4}=-1\frac{1}{4}[/tex]

So our answer is -5/4, or -1 1/4. Hopefully that's helpful! :)

A contractor purchases 7 pairs of padded work gloves for $103.32. How much would he pay if he wanted to buy 12 pairs

Answers

103.32 : 7 = 14.76
14.76 x 12 = 177.12$

Answer:

$177.12

Step-by-step explanation:

$103.32 divided by 7 to find out how much 1 pair costs= $14.76

$14.76x12= $177.12

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Answers

Hello :) hope you are doing well!!!!

what is the area of the rectangle below?

Answers

120, you get the area by multiplying the width and length

Answer:

B. 120sq. units

Step-by-step explanation:

The area A of a rectangle is given by the formula, A=lw , where l is the length and w is the width.

so

8 * 15 = 120sq. units

Evaluate the expression 61​

Answers

Answer:

61 + 8 is 69 and that is a funny number

Answer: if i get this correct mark me the brainlist promise

Step-by-step explanation:6+x=12To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations. In the example above, the variable x is equal to 6 since 6 + 6 = 12.

Example

Calculate the following expression for x=3 and z=2

6z+4x=?

Solution: Replace x with 3 and z with 2 to evaluate the expression.

6z+4x=?

6⋅2+4⋅3=?

12+12=24

what's 2x+3y=1,470 in slope intercept form?​

Answers

Slope intercept form: y = mx + b
You need to separate x and y
2x + 3y = 1,470
Subtract 2x from both sides
3y = -2x + 1470
Divide by 3

Solution: y = -2/3x + 490

you will be given ultimate cookie and 20 pts

Answers

Answer: -4, -3, 0, 2

Step-by-step explanation:

Answer:

-4,-3,0,2

Step-by-step explanation:

Decimals that are higher is the less than the smallest

The length of a rectangular pool is 4 meters less than twice the width. If the pool's perimeter is 64 meters, what is the width?​

Answers

this is best solved using algebra

let the width be 4x (since it is 4 times more the length)

let the length be x

the formula for perimeter is (l+b)2 let us sub these variables in our formula

(x + 4x)2 = 64

expand brackets

2x + 8x = 64

combine like terms

10x = 64

make x the subject

x = 64/10 = 6.4

the length is 6.4 m

now let's find the width, the width is 4 times more the length so we simply substitute our value we found for x in 4x

we get:

4(6.4) = 25.6

the length is 25.6m

let's check our answers to see if its correct

25.6 + 6.4 = 32

32 × 2 = 64

the answer is correct

What is the expression 3/8d+3/4 factored using the GCF

Answers

Answer:

[tex]\frac{3}{8}[/tex] ( d + 2)

Step-by-step explanation:

[tex]\frac{3}{8}[/tex] d + [tex]\frac{3}{4}[/tex]

= [tex]\frac{3}{8}[/tex] d + [tex]\frac{6}{8}[/tex] ← factor out [tex]\frac{3}{8}[/tex] from each term

= [tex]\frac{3}{8}[/tex] (d + 2) ← in factored form

can somebody tell me the answer to this?

Answers

Answer:

∠AFB is adjacent

What is the formula of(a+b)whole square​

Answers

Answer:

Step-by-step explanation:

(a+ b) ² = a² + b² + 2ab

Your cell phone bill in August was $61.43, which was $21.75 more than your bill in July. Your cell phone bill in July was $13.62 less than
in June. What was your cell phone bill in June?

Answers

Answer:

$53.30

Step-by-step explanation:

61.43-21.75=39.68 is the cell phone bill in July.

39.68+13.62= 53.30 is the phone bill in June.

Answer:

53.30

Step-by-step explanation:

August= 61.43

July= (61.43-21.75) or 39.68

June= (39.68+13.62) or 53.30

Hope this helps! :)

Identify the given quadrilateral
Can anyone tell me if these are correct?

Answers

28 might be a parallelogram

Can anybody answer this for me?

Answers

[tex]\\\text{Given that,}\\\\(x_1 , y_1) = (5,6) ,~~ (x_2, y_2) = (-5,-4)\\\\\text{Slope},~m = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{-4-6}{-5-5} = \dfrac{-10}{-10} = 1[/tex]

if i get 45/50 in a test how much percentage is it

Answers

Answer:

the answer to your questions is 90%

Create a problem on sum or difference of equal using angles. Then solve​

Answers

Answer:

ABC

Step-by-step explanation:

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