The perimeter of a triangle is 17x-5 units. One side is 3.x + 5 units and another is 8x-3 units. How many units long is the third side?

Answers

Answer 1

Answer:

C = 6x - 7 units

Step-by-step explanation:

Let the three sides of the triangle = A, B, and C respectively.

Given the following data;

Perimeter of triangle, P = 17x-5 units

Side A = 3x+5 units

Side B = 8x-3 units

To find side C?

The perimeter of a triangle is given by the addition of all its three (3) sides.

Mathematically, the perimeter of a triangle is given by the formula;

P = A + B + C

Making "C" the subject of formula, we have;

C = P - A - B

Substituting into the equation, we have

C = 17x - 5 - (3x + 5) - (8x - 3)

C = 17x - 5 - 3x - 5 - 8x + 3

Collecting the like terms, we have;

C = 17x - 3x - 8x - 5 - 5 + 3

C = 6x - 7 units

Therefore, the third side is 6x - 7 units long.


Related Questions

HELPP
This week, 300 tickets were sold to the school play. This is 120 percent of the number of tickets sold last week. How many tickets were sold last week for the school play?

Answers

Answer:

120/100

Step-by-step explanation:

I just know it, trust me

Please help! I am struggling in my math course.

Answers

Answer:

That is a function so type y

Step-by-step explanation:

This is a one to one relationship and each input has one output so pick the 4th bubble D

I hope this helps

True and most likely it would be D

What is the first step in solving for z in the equation
5z−4=26?

Answers

Answer:

Step-by-step explanation:

This is the completed answer.

5z - 4 = 26

5z−4+4=26+4

5z=30

Divide both sides by 5.

5z/5 = 30/5

z=6

What Quadrant is 4,-8 located in

Answers

Answer:

4

Step-by-step explanation:

Slope = 2, passing through (-3, 8)

Answers

Answer:

y - 8 = -2(x + 3)

General Formulas and Concepts:

Point-Slope Form: y - y₁ = m(x - x₁)  

x₁ - x coordinate

y₁ - y coordinate

m - slope

Step-by-step explanation:

Step 1: Define

Slope m = -2

Point (-3, 8)

Step 2: Write equation

y - 8 = -2(x + 3)

Based on the pattern in the table, what is the value of a?

Powers of 2
Value
2 Superscript negative 1
One-half
2 Superscript negative 2
One-fourth
2 Superscript negative 3
one-eighth
2 Superscript negative 4
StartFraction 1 Over 16 EndFraction
2 Superscript negative 5
StartFraction 1 Over 32 EndFraction
2 Superscript negative 6
a

Negative 64
Negative 12
StartFraction 1 Over 16 EndFraction
StartFraction 1 Over 64 EndFraction

Answers

Answer:1/64

Step-by-step explanation: I got it right

Based on the pattern in the table, the value of a is StartFraction 1 Over 64 EndFraction.

What are Exponents?

Exponents are the method of writing numbers, especially large numbers, in terms of a base and an exponent, which is written as the power of base.

Given is a pattern, which is the powers of 2.

The first term is 2⁻¹ = 1/2

The second term is 2⁻² = 1/ 2² = 1/4

The third term is 2⁻³ = 1 / 2³ = 1/8

The fourth term is 2⁻⁴ =  1 / 2⁴ = 1/16

The fifth term is 2⁻⁵ = 1/ 2⁵ = 1/32

The sixth term is 2⁻⁶ = 1/ 2⁶ = 1/64

So the value of a is 1/64.

Hence the value of a is 1/64.

To learn more about Exponents, click on the link given below :

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True or False

The graph of y=2x is similar but also different from the graph

of y=2x−7.

Group of answer choices

True

False

Explain the reasoning of your answer above.


PLEASE HURRY!!!

Answers

Answer:

false bc the y intercept is in a different place which in return would alter the entire equation

Answer:

False. This is because -7 is not apart of the given equation, thus the equation is not similar. (rule of slope intercepts)

246 divided by 3 using rectangular model

Answers

Answer:

82 is the answer

Step-by-step explanation:

hope it help you

The answer would be 82 normally, In a model, just draw a rectangle and label it 246. Then, divide it into thirds and label each box 82.

6/root of 12. Rationalize the denominator

Answers

Answer:

Step-by-step explanation:

hi

[tex]\dfrac{6}{\sqrt{12}}=\dfrac{2\times 3}{\sqrt{2^2\times 3}}=\dfrac{3}{\sqrt{3}}=\sqrt{3}[/tex]

thanks

The pH of randomly selected swimming pools follows a normal distribution with mean 7.4 and standard deviation 0.22. A pool should have a pH between 7.2 and 7.8 so that chlorine treatment is effective. What percentage of pools having an acceptable pH level

Answers

Answer:

78.383%

Step-by-step explanation:

The pH of randomly selected swimming pools follows a normal distribution with mean 7.4 and standard deviation 0.22. A pool should have a pH between 7.2 and 7.8 so that chlorine treatment is effective.

Using z score formula

z = (x-μ)/σ, where

x is the raw score

μ is the population mean

σ is the population standard deviation.

For x = 7.2

z = 7.2 - 7.4/0.22

z = -0.90909

Probability value from Z-Table:

P(x = 7.2) = 0.18165

For x = 7.8

z = 7.8 - 7.4/0.22

z = 1.81818

Probability alue from Z-Table:

P(x = 7.8) = 0.96548

The probability of pools having an acceptable pH level(7.2 and 7.8)

= P(x = 7.8) - P(x = 7.2)

= 0.96548 - 0.18165

= 0.78383

Converting to percentage

0.78383 × 100

= 78.383%

The percentage of pools having an acceptable pH level is 78.383%

J(-7, -7), K(-9, 1), L(-1, -1)

Classify the triangle

Answers

The triangle is obtuse because the bottom is longer than the sides

The given triangle is an acute triangle and this can be determined by using the distance formula and the Pythagorean theorem.

Given :

Coordinates of triangle are --- J(-7, -7), K(-9, 1), L(-1, -1)

The following steps can be used in order to classify the given triangle:

Step 1 - First, determine the distance between the points.

[tex]\rm JK = \sqrt{(-9+7)^2+(1+7)^2} = \sqrt{4+64} = \sqrt{68}[/tex]

[tex]\rm KL = \sqrt{(-1+9)^2+(-1-1)^2} = \sqrt{64+4} = \sqrt{68}[/tex]

[tex]\rm JL = \sqrt{(-1+7)^2+(-1+7)^2} = \sqrt{36+36} = \sqrt{72}[/tex]

Step 2 - In order to classify the given triangle, the Pythagorean theorem can be used.

[tex]\rm H^2 = P^2 + B^2[/tex]

Step 3 - Substitute the values of P, H, and B in the above expression.

[tex]\rm (\sqrt{72} )^2 = (\sqrt{68} )^2 + (\sqrt{68} )^2[/tex]

Step 4 - Simplify the above expression.

72 < 136

Therefore, the given triangle is an acute triangle.

For more information, refer to the link given below:

https://brainly.com/question/989117

Which expression is equivalent to (m8n4)4?

Answers

Answer:

[tex]\frac{m2}{n}[/tex]

Step-by-step explanation:

Answer:

Step-by-step expla The answer is M2N

Find the time (in years):

Principal: $80

Interest: $52

Interest Rate: 13%

Answers

Answer:

Rs 845

let me know if need the process

Assume there are 11 voting districts in the county.  Polly Tician is running for office. She figures she must win at least 7 of the districts to win the election.  If she has an equal chance of 60% to win any one district, what are her chances of winning the election?

Answers

Answer:

53.3%

Step-by-step explanation:

Here we will use binomial probability:

P = nCr pʳ qⁿ⁻ʳ

where n is the number of trials,

r is the number of successes,

p is the probability of success,

and q is the probability of failure (1−p).

In this case, n = 11, r ≥ 7, p = 0.6, and q = 0.4.

P = ₁₁C₇ (0.6)⁷ (0.4)⁴ + ₁₁C₈ (0.6)⁸ (0.4)³ + ₁₁C₉ (0.6)⁹ (0.4)² + ₁₁C₁₀ (0.6)¹⁰ (0.4)¹ + ₁₁C₁₁ (0.6)¹¹ (0.4)⁰

P = 0.236 + 0.177 + 0.089 + 0.027 + 0.004

P = 0.533

Please help and explain

Answers

Answer:

c

Step-by-step explanation:

when the baby is 2 months it will prolly weigh 370

which expression is equivalent to 4x^2+(5x-7x^2)-4-(3x+5)

Answers

Answer:

[tex]-3x^{2} + 2x - 9[/tex]  

I hope this helps!

The table shows how far a distance runner has traveled since the race began. What is her average rate of change, in miles per hour, during the interval 0.75 to 1.00 hours?

Time Elapsed (Hours)
Miles Traveled (Miles)
0.50
2.00
0.75
3.50
1.00
4.75
4.75 miles per hour
5.00 miles per hour
5.50 miles per hour
6.00 miles per hour

Answers

Answer:

B

Step-by-step explanation:

Just took test on edge.

Average rate of change, miles per hour, during the interval 0.75 to 1.00 hours is 5 miles per hour.

What is Average Rate of Change of a Function?

Average rate of change of a function is defined as the rate at which the value of the function is changing with respect to the change in the input values.

Given a table which shows how far a distance runner has traveled since the race began.

If f(x) is a function, the average rate of change of the function in the interval [a, b] is,

f(b) - f(a) / b - a

Here the interval is (0.75, 1).

Average rate of change of the function is,

Average rate of change = (4.75 - 3.50) / (1 - 0.75)

                                        = 1.25 / 0.25

                                        = 5

Hence the required average rate of change is 5 miles per hour.

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A local hamburger shop sold a combined total of 721 hamburgers and cheeseburgers on Thursday. There were 71 more cheeseburgers sold than hamburgers. How many hamburgers were sold on Thursday?

Answers

Answer:771-71/2= 350 hamburgers and 350 +71 cheeseburgers

Step-by-step explanation:

Simplify. ( 2^9 × 3^5 ) × ( 2^4 × 3 )^2

The Choices Are

A. 16^20
B. 6^24
C. 2^13 x 3^7
D. 2^17 x 3^7

According to my study guide the answer is D, but I am unsure how to get to that answer.

Answers

Step-by-step explanation:

hope this helps you my friend

you can refer the steps I've added in the pic

-1.1x + 8.1x + 38 = -32

Answers

X = -10

Explanation:

-1.1x + 8.1x + 38 = -32

Combine like terms : -1.1x + 8.1x

7x + 38 = -32

Subtract 38

7x = -70

Divide by 7

7x = -70/7

Answer:

x = -10

Answer:

x= -10

Step-by-step explanation:

1. start by subtracting 38 from both sides

-1.1x+8.1x+ (38-38)= (-38-32)

2. Solve

-1.1x+8.1x= -70

3. Add the x- values

7x=-70

4. Solve

x= -10

) Use a generating function for modeling the number of different election outcomes in an election for class president if 25 students are voting among four candidates. Which coefficient do we want

Answers

Answer:

The answer is "[tex]x^{25}[/tex]"

Step-by-step explanation:

In four candidates, student participants are voting.  

For design the range of votes, it must employ a dividend growth.

Total students = 25  

Total choices to vote = 4

The role generation is: [tex]G(x) = (1 + x+x^2 + ....+ x^{25})^4[/tex]  

In order to obtain the various results, they need to analyze the term coefficient [tex]x^{25}[/tex].

If I work four days from 6-4:30 and earn $600. How much of taxes is being taken off my check

Answers

Answer:

80$

Step-by-step explanation:

Given f (x) = 6 (1- x), what is the value of f (-5)?

Answers

Answer: 36

Step-by-step explanation:

1) substitute x for 6

get f(-5)=6(1--5)= 6+30=46

Answer:

f(-5)=6(1-(-)5) f(-5)=6×6

f(-5)=36 Hope this will be helpful

Plz help with this it would mean a lot

Answers

Answer:

y=1.4x

Step-by-step explanation:

It goes up by 2.8 each 2 values of x therefore 1.4 per value of x

You start at (-4, 0). You move right 9 units and down 4 units. Where do you end?

Answers

Answer:

5,-4

Step-by-step explanation:

-4 + 9 = 5 and 0 -4 = -4 so the answer will be (5,-4)

Answer:

(5,-4)

Step-by-step explanation:

-4 + 9 = 50 - 4 = -4Put them together: (5, -4)

I hope this helps!

find slope please help I’ll mark brainliest

Answers

slope=0
explanation: its a straight line and therefore means no slope


1. Find the value of k.
A. 17
B. 73
C. 118
D. 107

Answers

A i’m pretty sure 62-45

Answer:

Its B

Step-by-step explanation:

you have to add 45 and 62 to get 107 and then subtract 107 from 180

Hope this helps

pls mark brainliest

The product of 3a2 – 5a + 2 and (-4x) when x = 0 is :

Answers

Answer:

the answer should be this

You are conducting a left-tailed test of a claim about a population mean when sigma is unknown with a sample size of 7.

If
α
=
.005
, find the critical value, to two decimal places.

Answers

Answer:  -3.71

========================================================

Explanation:

You'll need to use a T table to answer this question. Your stats textbook should have such a table in the back appendix section.

If your textbook doesn't have the proper table, or you don't have your textbook with you, then I recommend searching online for "t table" and you should have tons of free options to choose from.

In the table you'll look for the degrees of freedom row 6, since the degrees of freedom are equal to n-1. In this case, n = 7.

In this row, locate the column labeled  "alpha = 0.005" and you'll be looking at "one tail". The value in this row and column is roughly 3.707

Since we're doing a left tailed test and we want P(t < C) = 0.005, where C is the critical value we're after. This must mean C < 0. So C = -3.707 approximately. Round this to two decimal places and we end up with -3.71

Liam had a container of oatmeal that contained 5 and one-half cups of oatmeal. Liam ate StartFraction 4 over 9 EndFraction cup of oatmeal every morning before school for a week. Which is the best estimate of the number of cups of oatmeal that Liam had left in the container at the end of the five-day week?
2 and one-half
3
3 and one-half
5

Answers

3 and two half I hope you get a good answer

Answer:

3

Step-by-step explanation:

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