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

Answers

Answer 1

9514 1404 393

Answer:

  6x -7 units

Step-by-step explanation:

Let c represent the length of the third side. The perimeter is the sum of the three side lengths.

  P = a + b + c

  (17x -5) = (3x +5) +(8x -3) +c

 17x -5 = 11x +2 + c . . . . . . . . . . . . collect terms

  6x -7 = c . . . . . . . . . . . . . . subtract 11x+2

The third side is 6x -7 units.


Related Questions

A recommended portion of Lee's muesli weighs 75g.
Lee's muesli contains 71% wheat and oats, 26.5% fruit and 2.5% nuts.
a What is the mass of wheat and oats in one portion of Lee's muesli?
b What is the mass of nuts in one serving of Lee's muesli?

Answers

Answer:

Total weigh = 75g

a) so the mass of wheat and oats one protion = 75*(71/100) g = 53.25g

b) the mass of nuts in one serving = 75*(2.5/100) g = 1.875g

Step-by-step explanation:

Here I think mass = weigh, as it's not physics.

You are given a speed in miles per minute. Which conversion factor would you use to express the speed in feet per minute?1 mile Over 5280 feet60 minutes Over 1 second5280 feet Over 1 mile1 minute Over 60 seconds

Answers

Answer:is it mile 1 or 1 mile?

Step-by-step explanation:

Find the measure of each angle indicated.

A) 21°
C) 23
E) 25°
B) 80°
D) 20°

Answers

Answer:

D) 20⁰

Step-by-step explanation:

EDF = 180-100=80⁰

EFD= 80⁰+80⁰=160⁰

180⁰-160⁰=20⁰

Answer:

I would say D, 20°

Step-by-step explanation:

angles on a straight line should be equal to 180°. so 180 -100 = 80° inside.

angles inside a triangle should also be 180. So, 80° + 80° =160°. to get the other angle subtract 160 from 180 to get 20°

help me find x in this triangle

Answers

Answer:

x=176 degrees

Step-by-step explanation:

The first step to solving this is filling out any information we have. We know a solid line is 180 degrees, so the angle next to 92 must be 88.

We also know that the length of the line dividing 92 and 88 is equal to the other line with a small line in the middle. Because of this, the angle above the first 88 we found is also 88 degrees.

Now that we know two of the angles in the triangle add up to 176, we can figure out that the other angle is equal to 4. We know this because the sum of the interior angles of a triangle must equal 180.

This may seem off to you, but keep in mind that this diagram is likely not to scale.

Using the same rule we used for the first part we did, we can deduce that x equals 176.

Ill give brainles
Evaluate.

−11.9−1

Answers

Answer:

I think its -12.9

Step-by-step explanation:

f(x) =2x+1 g(x)= x^2 -7 find (f+g)(x)

need help like asap​

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Let's find (f + g)(x) :

[tex]2x + 1 + {x}^{2} - 7[/tex]

[tex] {x}^{2} + 2x - 6[/tex]

Answer:

[tex]f(x) = 2x + 1 \\ g(x) = {x}^{2} - 7 \\ (f + g)(x) = f(x) + g(x) \\ (f + g)(x) = (2x + 1) + ( {x}^{2} - 7) \\ (f + g)(x) = 2x + 1 + {x}^{2} - 7 \\ \boxed{ (f + g)(x) = {x}^{2} + 2x - 6}[/tex]

(f+g)(x) = x²+2x-6 is the right answer.

Miss Campbell has just bought a rectangular displayboard for her bedroom. It has a length of 90 cm and a width of 50 cm. Miss Campbell would like to put a border of yellow ribbon around the perimeter of her display board.

Answers

Answer:

Area - l*w

area is 4500 cm 2

perimeter - l + w * 2

perimeter is 280 cm

Caitlin has a balance of $4,880 on her credit card that has an APR of 16%. She currently pays the minimum monthly payment of $105.86. If Caitlin wants to pay off her balance in 20 months, determine the monthly payment she would need to make. Choose the following modification with the least cuts to her current expenses that will allow Caitlin to pay off her balance in 20 months.
Income
Wages
$2,896.00
Expenses
Rent
$1200.00

Utilities
$212.64

Food/Clothes
$335.00

Entertainment
$346.00

Car
$490.00

Credit Card
$105.86

Cell Phone
$116.37
Net Income

$90.13

a.
Caitlin can eliminate $100 from Food/Clothes and $85 from Entertainment.
b.
Caitlin can eliminate $62 from Food/Clothes and $49 from Entertainment.
c.
Caitlin can eliminate $54 from Food/Clothes and $120 from Entertainment.
d.
The minimum payment is enough to pay off the balance within 20 months.

Answers

And is C
Caitlin can eliminate $54 from Food/Clothes and $120 from Entertainment.

The modification that has the least cuts to her current expenses will be C. Caitlin can eliminate $54 from Food/Clothes and $120 from Entertainment.

What are current expenses?

It should be noted that current expenses are the simply the expenses that keep an individual or business going.

In this case, the modification with the least cuts to her current expenses that will allow Caitlin to pay off her balance in 20 months is that Caitlin can eliminate $54 from Food/Clothes and $120 from Entertainment.

This is important in order for her to cut her cost.

Learn more about expenses on:

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12(2 - x) + 2 = 14 (12(2-x) + 2 =14

Answers

Answer:

x = 1

Step-by-step explanation:

12(2 - x) + 2 = 14

24 - 12x + 2 = 14

26 - 12x = 14

-12x = -12

x = 1

Hopefully this helps!

Brainliest please?

HELP PLEASE BRAINIEST IF CORRECT!!!!!

Answers

Answer:

1/4

Step-by-step explanation:

It’s 2/3

The rate of change is the slope. And the only two points on the line that doesn’t look like a decimal is (0, -3) and (3,-1).

Slope = (y2 - y1) / (x2 - x1)

(-1 - -3) / 3 - 0
= 2/3


5. Which of the following is a sign that you have a budget deficit?

Your savings account balance grows every month.

. You overdraw your checking account on a consistent basis (with a $25 cost per overdraft).

Your checking account balance grows every month.

Answers

B becuase money stuff

(5, -3) move it seven units to the left amd one unit up. Please help-

Answers

Answer:

That would be -2, -2

Step-by-step explanation:

This is because if you go left or right it changes the x in (x,y). And when you move up or down it changes the y. So 5 seven units to the left is like 5 - 7 which is -2. And one unit up from -3 is -3 + 1 which is -2. Then you get your answer which is (-2,-2)

Help please help please help please help please help please help please help please help please help please help please

Answers

Answer:

a^(4/15)

Step-by-step explanation:

rules of indices:

WHEN MULTIPLYING POWERS WITH THE SAME BASE YOU ADD THE POWERS

a^(1/5) × a^(2/3) = a^(1/5 + 2/3)

a^(13/15)

WHEN DIVIDING POWERS WITH THE SAME BASE YOU SUBTRACT THE POWERS

a^(13/15) / a^(3/5) = a^(13/15 - 3/5)

a^(4/15)

NOTE: YOU HAVE TO FOLLOW BODMAS RULE IN THE QUESTION.. AND PLEASE LOOK OUT FOR THE POWERS WITH THE SAME BASE. IF BASE IS DIFFERENT YOU CANNOT SIMPLIFY...

Help Please!!

Line segment LM is dilated by a scale factor of to form L'M'. Point H, which lies on LM, is the center of dilation. If the slope of LM is 6, which of the following is true about L'M'?
A.
Line segment L'M' has a slope of 6 and does not pass through point H.
B.
Line segment L'M' has a slope of 2, and does not pass through point H.
C.
Line segment L'M' has a slope of 2, and passes through point H.
D.
Line segment L'M' has a slope of 6 and passes through point H.

Answers

Answer D.

Step-by-step explanation:

D.

Line segment L'M' has a slope of 6 and passes through point H.

Given that line segment LM is dilated by a scale factor of to form L'M'. Statement D). is true.

What is dilation of a line segment?

The dilation of a line segment is longer or shorter in the ratio given by the scale factor. If the scale factor is greater than 1 (k > 1), the image will be larger than the pre-image, making the segments (sides) of the image longer than the corresponding sides of its pre-image (an enlargement).

When a line segment gets dilated, it gets longer or shorter. But, the slope does not change. Also, the center of dilation which lies on the line segment, stays on the line only. Thus, D). is true.

Learn more about dilation of a line segment here

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#SPJ2

solve the inequality


(1)/(4)(e-2)+(2)/(3)<(1)/(6)(e-4)

Answers

Answer: yes

Step-by-step explanation:

I spent all my points into this so give it your best shot
The linear functions f(x) and g(x) are represented on the graph, where g(x) is a transformation of f(x):

A graph with two linear functions; f of x passes through 5, 0 and 10, 10, and g of x passes through negative 3, 0 and 2, 10.

Part A: Describe two types of transformations that can be used to transform f(x) to g(x). (2 points)

Part B: Solve for k in each type of transformation. (4 points)

Part C: Write an equation for each type of transformation that can be used to transform f(x) to g(x). (4 points)

Give it your best shot

Answers

Answer:

7

Step-by-step explanation:

This is the value of "f(x)"  when "x = 0" .

452 x 58 = 3616 + 3400 =
362 x 92 = 544 + 280 =

Answers

1) 452 x 58 =26216

2) 3616 + 3400 = 7016

3) 362 x 92 = 33304

4) 544 + 280 = 824

Hope this helped you- have a good day bro cya)

452 x 56 = 17176
3616 + 3400 = 7016
17176 = 7016
362 x 92 = 33304
544 + 280 = 824
33304 = 824

Describe what is meant by the slope of a non-vertical line. Explain how your description relates to the definition of slope.

Answers

Answer:  A verticle line does not have a slope.

Step-by-step explanation:  Slope is the rate of change of y for each change in x.  y = 2x is a line with slope of 2.  Each time x is incremented by 1, y will increase by twice (2x) that amount.  There is no slope to a verticle line, unless you want to call it infinite.  The value of y is not defined by x.

Which statement corresponds to the values of x shown on the following number line? (Gray line is answer, dark black line is just number line)

a) -4 5x<2
b) -4 c) -45x>2
d) -42 x > 2

Answers

Answer:

a)-4 5×<2

Step-by-step explanation:

#CarryOnLearning

Sunny beaches is a company that designs and makes beach balls. The beach ball shown has a radius of 8 inches. determine the volume of a beach ball in cubic inches round to the nearest hundredths

Answers

Answer:

the answer is 2143.57! hope this helps!

Whats the common difference between 34,31,28,25

Answers

the common difference is -3

34-31 is 3, 31-28 is 3, 28-25 is 3. so it keeps going down by 3

What is the valeu of x?
1/2x -2 =4

Answers

Answer:

12

Step-by-step explanation:

1/2x = 6

x = 12

Answer:

x=12

Step-by-step explanation:

half of 12 is 6. 6-2=4

Express the number 7.901×10 to the 12 hour in standard form to change his number to standard form move the decimal point how many places

Answers

Answer:

7.901. 10 '12'

Step-by-step explanation:

One factor of f(x) = x^3 - 3x^2 - 28x + 60 is (x - 6). What are the zeros of the function? Please show and explain all your steps. Thank you for your help.

Answers

Answer:

Step-by-step explanation:

f(x) = x^3 - 3x^2 - 28x + 60

x(x^2-3x-28)+60

Factor the inside of the parenthesis

Multiples of 28: (1X28),(2X14),(4X7). 7-4=3, 7 & 4 is the correct multiple.

x(x-7)(x+3)+60

Roots: 0,7,-3,6

Also you can plug your function into Desmos and see where it crosses the x-axis.

guess my age and ill make you brianlest 2007 8 14

Answers

Answer:

15 or 16

is it? I dont know

Answer:

14 year old

Step-by-step explanation:

8 14 2007

What is the area of a parallelogram with a base of 20 centimeters and a height of 9 centimeters?

Answers

Answer:

Area = 108

Step-by-step explanation:

A = base * height

A = 20 * 9 = ?

A = 20 * 9 = 108

I WILL MARK YOU BRAINLIEST!
A square pizza has an area of 64 square inches. What is the length of stuffed crust you will need to put around the pizza

Answers

Square means the sides equal each other. Sqrt(64) = 8.

The sides of the square pizza are all 8 inches. Finding the perimeter, we add all the sides which is 4 * 8. The crust should be 32 inches.

Bon appetit!

Determine the mystery decimal number from the clues listed.

Clue 1: between 2/5 and 3/5

Clue 2: greater than 1/2

Clue 3: a multiple of 0.11

Answers

Answer:

.55

Step-by-step explanation:

3/5 = 0.6

1/2 = 0.5

it has to be in between these two numbers

5 x 0.11 = 0.55

Answer:

Step-by-step explanation:

It is between 0.4 and 0.6

It is greater than 1/2. That means that the starting point is 0.5 to 0.6

The final clue should nail it. It is a multiple of 0.11. That means it is 0.55. One possible answer is 11/20

An airline runs a commuter flight between Portland, Oregon, and Seattle, Washington, which are 145 miles apart. An increase of 20 miles per hour in the average speed of the plane decreases the travel time by 12 minutes. What initial average speed results in this decrease in travel time? (Round your answer to one decimal place.)

Answers

The speed of the airplane is the ratio of the distance to the time

The initial average speed of the airplane is approximately 110.8 mph

Reason:

Given parameters are;

The distance between Portland Oregon and Seattle Washington = 145 miles

The decrease in travel time when the speed is increase by 20 mph =  minutes

The initial speed of the airplane, v = Required;

Solution;

[tex]t = \dfrac{145}{v}[/tex]

[tex]t - \dfrac{12}{60} = \dfrac{145}{v + 20}[/tex]

Therefore;

[tex]\dfrac{145}{v} - \dfrac{12}{60} = \dfrac{145}{v + 20}[/tex]

Which gives;

[tex]\dfrac{145}{v + 20} - \dfrac{145}{v} + \dfrac{12}{60} = 0[/tex]

Therefore

0.2·v² + 4·v - 2,900 = 0

v ≈ ±110.8 mph

The initial average speed of the airplane, v≈ ± 110.8 mph

Learn more  here:

https://brainly.com/question/11365874

The vet told Jake that his dog, Rocco, who weighed 55 pounds, needed to lose 10 pounds. Jake started walking Rocco every day and changed the amount of food he was feeding him. Rocco lost half a pound the first week. Jake wants to determine Rocco’s weight in pounds, p, after w weeks if Rocco continues to lose weight based on his vet’s advice

Answers

Answer:

55-10=45

Step-by-step explanation:

Answer:

The equation of the scenario is

✔ p = 55 – 0.5w

.

The values of p must be

✔ any real number 45 to 55

.

Step-by-step explanation:

edge 2021

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