The lengths of the sides of a triangle are represented by (2x2 + 3), (x2 + 2x), and (5x - 8). What is the perimeter of the triangle?

Answers

Answer 1

Answer:

A. 2x^2+4

B. 5x^3 - 4x^2 + 3x - 12

C. Yes

Step-by-step explanation:

Given:

Side 1=3x^2-4x-1

Side 2=4x-x^2+5

Perimeter=5x^3-2x^2+3x-8

Perimeter=side 1 + Side 2 + Side 3

A. Total lenght of the two sides

Side 1 + Side 2=(3x^2-4x-1) + (4x-x^2+5)

=3x^2 - 4x - 1 + 4x - x^2 + 5

=3x^2 - x^2 - 4x + 4x - 1 + 5

=2x^2+4

B. Length of the third side

Perimeter=side 1 + Side 2 + Side 3

Recall,

Side 1 + side 2=2x^2+4

Perimeter= (side 1 + Side 2) + Side 3

5x^3-2x^2+3x-8 = 2x^2+4 + side 3

5x^3-2x^2+3x-8 - (2x^2+4) = side

3

5x^3 - 2x^2 + 3x - 8 - 2x^2 - 4 = Side 3

5x^3 - 2x^2 - 2x^2 + 3x - 8 - 4 = Side 3

=5x^3-4x^2+3x-12

Side 3= 5x^3 - 4x^2 + 3x - 12

C. Yes, addition and subtraction of polynomial of the same degree will give result of the same degree or lower degree

Step-by-step explanation:


Related Questions

2.49766 × 10^6
rewrite in standard notation

Answers

Step-by-step explanation:

2.49766 × 10^6=249700

HOPE IT HELPS U

1)
Which is true?
A 0.402 <0.400
(В)
0.42 = 0.420
C 0.024 > 0.24
D 0.24 <0.202

Answers

Answer:

(B) 0.42=0.420

PLEASE MARK ME AS BRAINLIEST....

Which point is best represented by the ordered pair (2, -5.5)?
A point W
b point V
c point S
d point R​

Answers

Answer:

the answer is b

Step-by-step explanation:

because the point is located at the number given the answer is b

The coach of a college basketball team categorizes the number of points
scored by the team in each game, with the categories being 51 - 57, 58 - 64,
65 – 71, and 72 or more. If the following data represent the numbers of points
scored in the last 10 games, how many games were in the 51 - 57 category?
51, 70, 63, 59, 56, 75, 60, 55, 67, 64
A. 4
B. 2.
C. 3
D. 1

Help pls

Answers

Answer:

the awnser is one......

A graph is a way to represent a lot of data in a visual format. The number of games in the category 51-57 are 3.

What is a graph?

A graph is a way to represent a lot of data in such a visual format that it is easy for the user to understand the complete information in one go. Usually, the line of the graph is a function that follows the graph.

The categories and the data points can be arranged as following,

51 - 57 = 51, 56, 55

58 - 64 = 63, 59, 60, 64

65 – 71 = 70, 67

72 or more = 75

Hence, the number of games in the category 51-57 are 3.

Learn more about Graph:

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Sally bought 4 chocolate bars and 8 lollipops and paid $8.00. Josh bought 3 chocolate bars and 10 lollipops and paid $7.00.



What is the cost of a lollipop? Enter your answer as a decimal

Answers

Answer:

Lollipops cost $0.25

Step-by-step explanation:

4C + 8L = $8.00

3C + 10L = $7.00.                  We need to cancel out chocolate bars

-12C - 24L = $-24.00        Mulitply by -3

12 C + 40L = $28.00           Muliply by 4          Next simplify

16L = $4.00                   Divide both sides by 16

L = $0.25

WE CAN EVEN CHECK OUR WORK

4C + 8(0.25) = $8.00

4C = $6.00

C = 1.5

3(1.5) + 10(.25) = $7.00

4.5 + 2.5 = 7

Can anyone help please with 6 and 7 I’m in desperate need of can someone help please and God bless

Answers

6.) 9
5(9)+18=63
Divide 9+13x (since its the entire line) by 2 to get 4.5+6.5x so it can equal Half
4.5+6.6(9)=63

7.) IF=HF
The three lines indicate they are equal to eachother

Hope that helps!

pic attached- if x^4 * x^a = x^16 and (x^2)^b = x^8, what is the product of a and b?

Answers

Answer:

c

Step-by-step explanation:

x^4 * x^(4) = x^16

(x^2)^(4)=x^8

^(4)*^(4)=16

Saul makes trail mix with peanuts, raisins, and pretzels. The ratio of cups of raisins to cup of peanut is 1 to 6. The ratio of cups of pretzels to cups of raisin is 3 to 1. Decide if the statement is true or false. "Saul uses 6 times as many cups of peanuts as cups of raisin." *
1 point
True
False

Answers

Answer:

true

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

Is the relation a function? Why or why not ?


Please help me

Answers

The answer is D. I am sure of this. Brainpower? Have a great day!

*Please if anyone understands this help! :) Also if you could show or explain your work It would be very helpful. *

Answers

Answer:

Step-by-step explanation:

what is 3+2 I can't figure it out cause I chopped of my finger ​

Answers

Answer:5

Step-by-step explanation:

2 +3=5

3+2=5

Answer:

3+2=5. I hope your finger is okay, I'm really sorry that you chopped of your finger! Please try and be safer, especially around sharp objects :<

Step-by-step explanation:

If 5(x + 2) = 5x + 10, then 6(x + 3) =?

Answers

Answer:

6

Answer:

6+18

Step-by-step explanation:

HELP ME SOMEONE PLS ANSWER MY QUESTION FROM MY PROFILE.

Find the missing angle measure.

Need help please!!!

Answers

Answer:

Angles in a pentagon add to 540 degrees.

100+80+160+91+x =540

431+x=540

109=x

Hope this helps!

i need help to solve for x

Answers

Answer: 15°

Step-by-step explanation:

If a cylindrical vase has a 63 cubic centimeter volume an a cone has the same height and radius as the cylinder what is the volume of the cone

Answers

Answer:

[tex]21cm^{3}[/tex]

Step-by-step explanation:

According to the problem, calculation of given data are as follows,

Volume of cylindrical vase = [tex]63cm^{3}[/tex]

As, Cone has same height and radius as cylinder, than we can calculate volume of cone by using following formula,

Volume of cone = [tex]\frac{1}{3}[/tex] × Volume of cylindrical vase

By putting the value, we get

Volume of cone = [tex]\frac{1}{3}[/tex] × 63

Volume of cone = [tex]21cm^{3}[/tex]

Jada walks up to a tank of water than can hold up to 10 gallons. When it is active, a drain empties water from the tank at a constant rate. When Jada first sees the tank, it contains 7 gallons of water. Three minutes later, the tank contains 5 gallons of water.



a. At what rate is the amount of water in the tank changing? Use a signed number, and include the unit of measurement in your answer.

b. How many more minutes will it take for the tank to drain completely? Explain or show your reasoning.

c. How many minutes before Jada arrived was the water tank completely full? Explain or show your reasoning.

Answers

Answer:

a.  rate to empty the tank = - 2/3 gal/min

b,  7.5 min to empty the tank

c.  4.5 min.

Step-by-step explanation:

I use the formula that the work done = rate of work times the time working = W = rt

The work in this problem is emptying the tank.  

a.  The rate to empty the tank is -2 gal/3 min or - 2/3 gal/min

b.   5/(2/3) = 15/2 = 7.5 min to empty the tank

c.    Since 3 gal. had already drained, 3/(2/3) = 9/2 = 4.5 min.

Ms. Carson's art class made a large rectangular mural. The length of the mural is 9 feet, and its area is 72 square feet.
What is the width of the mural?

What is the perimeter of the mural?

Answers

Answer:  8 feet!

Step-by-step explanation:

To find the width, we have to find out what number multiplied by 9 gives us 72.

The width of the mural is 8 feet!

Helpppppppppppppppppppppp

Answers

Answer:

c. 4x

Step-by-step explanation:

If I get a bad grade I will fail the grade.

Answers

The answer is 32.

Explanation:

Vertical opposite are equal.
The vertical opposite of angle 4 is 57.


<4 = 2x - 7

57 = 2x - 7

57 + 7 = 2x

64 = 2x

x = 64/2

x = 32

FINISH THE LYRICS: I GET SO WEAK ON MY KNEES I CAN....

Answers

Answer:

hardly speak

Step-by-step explanation:

znksjznzndbbd

Answer:

Hardly speak

Step-by-step explanation:

The song is Weak lol

Mackenzie invested $770 in an account paying an interest rate of 6.1% compounded
continuously. Assuming no deposits or withdrawals are made, how long would it
take, to the nearest year, for the value of the account to reach $1,830?

Answers

Answer:

14

Step-by-step explanation:

The value of the account will reach to $1,830 in 15 years.

What is compound interest?

Compound interest simply means that the interest associated with a bank account, loan, or investment increases exponentially over time.

Given that, Mackenzie invested $770 in an account paying an interest rate of 6.1% compounded continuously after a certain period of time the mount becomes $1830

We know that,

[tex]A = P(1+r)^n[/tex]

Where, A = amount, P = principal, r = rate and n = time.

1830 = 770(1+0.061)ⁿ

1830 / 770 = (1.061)ⁿ

2.37 =  (1.061)ⁿ

Taking log both side,

log(2.37) = n log(1.061)

n = log(2.37) / log(1.061)

n = 14.57 ≈ 15

Hence, the value of the account will reach to $1,830 in 15 years.

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How will you use graph to solve Linear Inequalities?

Answers

If the inequality is > you shade above the linear line, if its < you shade below. The solution is in the darkest shaded area.

Lucy spent $36 on fruit at the grocery store. She spent a total of $60 at the store. What percentage of the total did she spend on fruit?

Answers

Answer:

60%

Step-by-step explanation:

You divide the amount spent on fruit ($35) by the total ($60) ((35/60= ?)) to get 0.6 which also makes it 60.

hope this helps

The percentage of amount Lucy spent on fruit is 60 % of the total amount

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the percentage of amount spent on fruit be = A

Let the total amount spent by Lucy at the store be = $ 60

Let the amount spent by Lucy on fruit at the store be = $ 36

So , the equation is

Percentage of amount spent on fruit A = ( amount spent by Lucy on fruit at the store /  total amount spent by Lucy at the store ) x 100

Substituting the values in the equation , we get

Percentage of amount spent on fruit A = ( 36 / 60 ) x 100

Percentage of amount spent on fruit A = ( 6 / 10 ) x 100

Percentage of amount spent on fruit A = 60 %

Therefore , the value of A is 60 %

Hence ,

The percentage of amount Lucy spent on fruit is 60 % of the total amount

To learn more about equations click :

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HELP ME PLEASE, I NEED HELP AS SOON AS POSSIBLE!!!!!!!! T^T

i have no clue what im doing

Find the area of a regular nonagon (nine sided polygon), that has an apothem of 16.48 and a side length of 12.

Answers

Answer:

98.88

Step-by-step explanation:

Perimeter lengtth= 12

Apothem length= 16.48

Area result: 98.88

A trapezoid with a height of 19 meters has a base of 26 meters and another base of 46 meters. What is the area of the trapezoid? The area of the trapezoid is

Answers

Answer:

684 meters 2

hope this helped

The pizza store is announcing a new sale for their large cheese pizza. The pizza is now 40% off its original price. If the original price is 16 dollars how much is the new price?

Answers

Answer: $9.60

Step-by-step explanation:

First, we need to calculate the discount given on the pizza. This will be:

= 40% × $16.

= 40/100 × $16

= 0.4 × $16

= $6.40

Then the new price will be gotten by subtracting the amount given off from the original price. This Will be:

= $16 - $6.40.

= $9.60

The new price is $9.60

7. A farmer plants 987 apple trees in
9 rows. Can each row have the same
number of trees? How do you know?​

Answers

Answer:

No because you can split a tree

Step-by-step explanation:

Ernie is thinking of a number. The quotient id the number and 4 is 90.

Answers

Answer:

360

Step-by-step explanation:

multiply 90 and 4

can u help me
the question is: find the value of x for each equation below and the numbers is
-x+3=3x-2
1.5x-3=2.25x
-1/3x+2=3x-1​

Answers

Answer:

1. x=5/4

2. x=-4

3. x= 9/10

Step-by-step explanation:

Let's solve your equation step-by-step.

−x+3=3x−2

Step 1: Subtract 3x from both sides.

−x+3−3x=3x−2−3x

−4x+3=−2

Step 2: Subtract 3 from both sides.

−4x+3−3=−2−3

−4x=−5

Step 3: Divide both sides by -4.

−4x/−4 = −5/ −4

x= 5/4

Answer:

x= 5/4 (5 over 4)

Let's solve your equation step-by-step.

1.5x−3=2.25x

Step 1: Subtract 2.25x from both sides.

1.5x−3−2.25x=2.25x−2.25x

−0.75x−3=0

Step 2: Add 3 to both sides.

−0.75x−3+3=0+3

−0.75x=3

Step 3: Divide both sides by -0.75.

−0.75x/−0.75=3/−0.75

x=−4

Answer:

x=−4

Let's solve your equation step-by-step.

−1/3x+2=3x−1

Step 1: Subtract 3x from both sides.

−1/3x+2−3x=3x−1−3x

−10/3x+2=−1

Step 2: Subtract 2 from both sides.

−10/3x+2−2=−1−2

−10/3x=−3

Step 3: Multiply both sides by 3/(-10).

(3/−10)*(−10/3x)=(3/−10)*(−3)

x=9/10

Answer:

x=9/10 (9 over 10)

The base of a triangle is 12.25 in. determine the area of the triangle if the height is 3.6 in

Answers

Answer:

22.05in^2

Step-by-step explanation:

Formula for area of a triangle:

(base × height) / 2

(bh)/2

(12.25 × 3.6)/2

44.1/2

22.05

When finding the area, the units will always be to the second power because we are multiplying them

in × in = in^2

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