7. Jena has a triangular garden with a perimeter that can be represented by 25r ^ 2 - 9r + 14 . The sum of two sides of the garden is represented by 10r ^ 2 + 12r + 9 . Which expression represents the length of the third side ?

Answers

Answer 1

Answer: [tex]15r^2-21r+5[/tex]

Step-by-step explanation:

Given: Perimeter of triangular garden = [tex]25r^2 - 9r + 14[/tex]

The sum of two sides of the garden = [tex]10r^2 + 12r + 9[/tex]

Perimeter is the sum of all sides of a triangle.

Third side = Perimeter of triangular garden - sum of two sides of the garden

[tex]=25r ^ 2 - 9r + 14-(10r ^ 2 + 12r + 9)\\\\=25r ^ 2 - 9r + 14-10r ^ 2 - 12r - 9\\\\=15r^2-21r+5[/tex]

The expression represent the third side = [tex]15r^2-21r+5[/tex].


Related Questions

how many terms are in this expression 5b+26t-72

Answers

Answer:

3 terms

Step-by-step explanation:

5b+26t-72

Since none of the terms are like terms, we cannot combine them

There are 3 separate terms, 5b, 26t, 72


What is the equation of the line in slope-intercept form

Answers

Answer:

-2

Step-by-step explanation:

as x goes up 1 y goes down 2

slope is change in y over change in x

-2/1=-2

Fill in the blanks. To multiply a number by 0.01 move the decimal point ____ places to the _______. *

Answers

Answer:

To multiply a number by 0.01 move the decimal point 2 places to the left.

Step-by-step explanation:

for example, lets multiply 5 by 0.01

5 x 0.01=0.05

originally, 5 in decimal form is 5.0

when it is multiplied by 0.01, the decimal point moves first from 5.0 to 0.5, then 0.5 to 0.05

To multiply a number by 0.01 move the decimal point 2 places to the left.

What is a number system?

A numeral system is a way of writing numbers; it's a way of mathematically notating a set of numbers by using a consistent set of digits or other symbols. In various numeral systems, the same set of symbols may represent various numbers.

For example, let's multiply 5 by 0.01

500 x 0.01 = 5

When the number 500 is multiplied by 0.01, the decimal point moves first from 500 to 5 means two places to the right.

Therefore, multiply a number by 0.01 and move the decimal point 2 places to the left.

To know more about the number system follow

https://brainly.com/question/12798815

#SPJ2

write a simplified expression for the volume of a cube with side length x+3​

Answers

The equation for a volume of a cube is V=a^3 and since all the sides are the same the equation would be V=(x+3)^3

PLEASE HELP
David owns a food truck that sells tacos and burritos. He sells each taco for $4.50 and each burrito for $7.75. Yesterday David made a total of $519.25 in revenue from all taco and burrito sales and there were twice as many tacos sold as there were burritos sold. Write a system of equations that could be used to determine the number of tacos sold and the number of burritos sold. Define the variables that you use to write the system. (Let statments and system of equations)

Answers

Answer:

Step-by-step explanation:

The systems of equation for the scenario given are :

7.75t9t7.75t + 9t = 519.25

Cost per tacos = 4.50

Cost per burritos = 7.75

Total amount made = $519.25

Let :

Amount of burritos sold = t

Amount of tacos sold = 2t

Total amount made from burritos sale :

(Number of burritos sold × cost per burrito) = (t × 7.75) = 7.75t

Total amount made from tacos sale :

(Number of tacos sold × cost per tacos ) = (2t × 4.50) = 9t

Total amount made :

7.75t + 9t = 519.25

Learn more : https://brainly.com/question/18112348

PLEASE HELP ME WILL. MARK BRAINLIEST!

Answers

Answer: C: 0.4

Step-by-step explanation:

1/5 is 0.2 and double that is 0.4 since there are 2 half hours in an hour :)

How does the value of the digit 3 in the number 63,297 compare to the value of
the digit 3 in the number 60,325? Be sure to include what you know about place
value in your answer.
Explain your answer.

Answers

Answer:

The number 3 in 63,297 is different then the 3 in 60,326 because the 3 in 63,297 is in the thousands place which is greater than the 3 in 60,326 because its in the hundreds place

I need help with this can you help me

Answers

Answer: 2.5 in, 7.5 in, and 5 in.

Step-by-step explanation:

you would divide each side by 2

5 inches to 2.5

15 inches to 7.5

and 10 inches to 5

2.5 in, 7.5 in, 5 in

So I need 20 words but I don’t get why so here’s this useless sentence

Answers

Answer:

Oh lol im confused ‍

Step-by-step explanation:

Answer:  bombastic, hornswoggle, pandemonium,sesquipedalian, taradiddle, widget,  wigwam , willy-nilly, zeppelin , ziggurat , zigzag , zonked, wisenheimer , wishy-washy , woebegone, surreptitious , Svengali , swashbuckler , switcheroo , swizzlestick

Step-by-step explanation: here!!

3s algebraic expression in word form

Answers

Answer:

trice the number"s"

Step-by-step explanation:

is this   wht  u want ? like am i rght? if not pls delete my answer.

Answer:

Thrice a number

Three times the variable "s"

Step-by-step explanation:

Hope it helps!!!

PLZ HELP PLZ GIVING 15 POINTS AND GIVE BRAINLIEST

Answers

Answer:

12/7

Step-by-step explanation:

[tex]6=\frac{6}{1} \\\frac{6}{1}*\frac{2}{7}=\frac{12}{7}[/tex]

When you multiply fractions you multiply straight accross

Solve for n just some homework

Answers

The answer is 4
You multiply 56x0.5 then divide by 7 :)

Answer:

4

Step-by-step explanation:

What is 5 - 5/7 = ? (Simplfy)

Answers

5 - 5/7 is 30/7 which is 4 2/7

A company ships packages through the postal service. One week, the cost of shipping one
package was $6.70, and the company also purchased a number of stamps. This can be
modeled by the expression 6.70 + 0.50x. According to the model, what is the meaning of
0.50?

Answers

Answer:

Step-by-step explanation:

For this problem, it says that the company not only shipped packages, but also bought a number of stamps. From the equation 6.70+0.50x, it's fairly easy to say that 6.70 is the packages,

What's not so easy is figuring out whether or not 0.50 is the stamps, or x is. However, there's an easy way to figure it out!

From this one, we would have to use "common sense" (not my words, someone elses). Using "common sense", we have to think, can someone buy 0.50 of a stamp?

Technically yes... But would someone buy 0.5 of a stamp? Not really.

So we can safetly assume that x is the "stamp", and 0.50 is the cost of the stamp.

Hope this helps!

Consider the expression 12a + 18.
Factor the expression using the GCF.

Answers

Answer:

6(2a + 3)

Step-by-step explanation:

the GCF is the biggest number that both numbers can be divided by and still get a whole number answer

PLEASE HELPPPPPPPPPPPPPPPPPPPP
If the difference of two number is 3 and the product is 70 then find the sum of the square of the numbers

Answers

Answer:

149

Step-by-step explanation:

Just by guessing you can see that they are 7 and 10

so 100 + 49 = 149

If skim milk is 87% water, how much water is in 4 cups of skim milk?

Answers

Answer:

3.7 percent fat and 9 percent solids-not-fat.

Step-by-step explanation:

Milk is highly regulated and there is a “standard of identity” for milk, meaning cows' milk cannot include added water and still be called milk.

Why does the expression i to the power 4n+2 is always equal to -1​

Answers

Answer:

See Below.

Step-by-step explanation:

We are given:

[tex]i^{4n+2}[/tex]

Using exponent properties:

[tex]=i^{4n}\cdot i^2[/tex]

Rewriting:

[tex]=(i^4)^n\cdot i^2[/tex]

Since i⁴ = 1 and i² = -1:

[tex]=(1)^n\cdot -1[/tex]

1 to any power is still 1:

[tex]=1\cdot -1 = -1[/tex]

EASY BUT I NEED IT NOW

This recipe makes 15 cupcakes.

Deepak only wants to make 6 cupcakes.

How much of each ingredient does he need?


Recipe: Makes 15 cupcakes

10 ounces butter

8 ounces sugar

12 ounces flour

5 eggs
do i times these by 6 ??

Answers

Answer:

Step-by-step explanation:

15/ 6 = 2.5

10 / 2.5 = 3 ounces of butter

8 / 2.5 = 3.2 ounces sugar

12 / 2.5 = 4.8 ounces flour

5 / 2.5 = 2 eggs

Manu drives 50 miles each day. How many miles does he drive in five days.

Answers

Answer: Manu drives 250 miles in 5 days.

Step-by-step explanation: Manu drives 50 miles each day, and he does this in each 1 out of 5 days. 50 + 50 + 50 + 50 + 50 is 250.

Answer:

250

Step-by-step explanation:

50= 1 day

?= 5 days

multiply 50 by 5

50 by 5= 250

to make it easier multiply 5 by 5 which is 25 then add the zero from the 50 at the end to get 250

Zadie makes a holiday decoration from a styrofoam cone with a height of 24 inches and
a diameter of 10 inches. What is the approximate volume of Zadies decoration?
0628
1884
125,6
02512

Answers

Answer:

Step-by-step explanation:

estimate 1.31

answer​

Answers

Answer:

1.3 or 1.

Step-by-step explanation:

To a 1/10 degree:

1.3

To a 1 degree:

1

What are the terms in x - 53 - 4x - w + 6x + 8

Answers

Answer:

3x, -45, -w

Step-by-step explanation:

We want to simplify this expression to find which terms there are.

x - 53 - 4x - w + 6x + 8

We can group the x's, w's and constants.

(x - 4x + 6x) + (-53 + 8) + (-w)

3x - 45 - w

The terms are, 3x, -45, -w

Answer is 3x-w-45 how did I get the answer.

1. steps: x- 53 - 4x - w + 6x + 8

2. Steps: Group like terms x - 4x + 6x - w -53 + 8

3. Steps: Addsimilar elements: x - 4x + 6x = 3x

= 3x - w - 53 + 8

4. Steps: Add/Subtract the numbers: - 53 + 8 = -45

= 3x - w -45

That is your answer for this problem.


Marissa dug three fifths of a hole in one tenth of an hour. Find the rate
in holes per hour

Answers

Answer:

Step-by-step explanation:

This might be easier to do in decimals. Let's try it.

3/5 = 0.6

1/10 = 0.1

rate = holes / hours

rate = 0.6/0.1

rate = 6 holes per hour

Try it with fractions.

rate =       [tex]\frac{\frac{3}{5} }{\frac{1}{10} }[/tex]    Invert and multiply the 1/10

rate =  [tex]\frac{3}{5} *\frac{10}{1}[/tex] = 30/5 = 6

It's the same answer. Pick the method that you feel most comfortable with.

Caroline uses 9.1 pints of blue paint and white paint to paint her bedroom walls. 1 4 of this amount is blue paint, and the rest is white paint. How many pints of white paint did she use to paint her bedroom walls?

Answers

Answer:

6.83 pints

Step-by-step explanation:

The first step is to calculate the volume of the blue paint

= 9.1 × 1/4

= 2.275

Therefore the volume of the white paint can be calculated as follows

= 9.1 - 2.275

= 6.83

Hence the volume of white paint that Caroline used to paint her bedroom walls is 6.83 pints

Translate the sentence into an equation.

Twice the difference of a number and 9 equals 5.

Use the variable y for the unknown number.​

Answers

2x-5=9 or wait equal 5 so can it be 2x-9=5?

A recipe for making 3 dozen muffins requires 1 1/2 cups of flour. How many cups of flour are required to make 5 dozen of the same muffin?

Answers

Answer:

2 1/2 cups

Step-by-step explanation:

3 dozen muffins = 1 1/2 cups

divided by 3, you get 1 dozen muffins = 1/2 cup of flour

multiply by 5 you get 2 1/2 cups of flour

Point L (5, -4) is reflected across the line y = -x using the transformation rule (x, y) --> (-y, -x). What is the ordered pair of the Image L''? Please write your response as (x, y),

Answers

Answer:

L (4,-5)

Step-by-step explanation:

The transformation rule is (x,y) → (-y,-x) . This means that you are going to exchange your x and y and switch their signs.

1. Exchange - First you switch your points. (5,-4) → (-4,5)

2. Switch signs- -4 converts to 4 and 5 converts to -5

So your answer is L' (4,-5)

Pls help...no idea :/
I would really appreciate it

Answers

Answer:

12

Step-by-step explanation:

If Laura bikes x miles to and from her friend's house each day, what expression can be used to calculate the total distance she travels in a week?

x / 7
x + 7
7x
7 – x

Answers

Answer:

7x

Step-by-step explanation:

This is because x represents how many miles she rides each day, so you need to multiply x by the 7 days in a week

Laura bikes X miles to and from her house
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