The lengths of two sides of a triangle are shown below:

Side 1: 3x2 − 6x − 10

Side 2: 9x + 5x2 − 8

The perimeter of the triangle is 6x3 + 10x2 − x − 3.

Part A: What is the total length of the two sides, 1 and 2, of the triangle? (5 points)

Part B: What is the length of the third side of the triangle? Hint: Take Perimeter minus 2 sides combined.

(10 points)

Answers

Answer 1

Answer:

Part A) [tex](3x^2 - 6x - 10) + (5x^2 + 9x - 8 ) =8x^2 + 3x - 18[/tex]

Part B) [tex](10x^2 - x - 3) - (8x^2+3x-18) = 2x^2 -4x+15[/tex]


Related Questions

PLEASE HELP!! IM STUCK
Suppose the path of a golf ball follows the path graphed by the function f(d) = -1.6d^2 + 3.3d + 0.2 where d is the horizontal distance the ball travels, and f(d) is the height, in meters, of the ball at d horizontal meters. Find the maximum height of the ball; use the vertex

Answers

Answer:

D) 1.9 meters

Step-by-step explanation:

a= -1.6, b=3.3, c=0.2

vertex is (1, 1.9)

3. For every 3 cans of vegetables purchased, you get 1 free
can. Tessie went home with 32 cans of vegetables. How
many did she have to pay for?
A 32
B 24
C 16
D 8

Answers

Answer:

B.24

Step-by-step explanation:

32 divided by 4

=8

8x3=24 paid cans

36-24=8 free cans

someone plssss helpppp

Answers

Is this math? or English

Decide whether the data in the table represent a linear function or an
exponential function. Explain how you know.
х
y
1
4
-5
3
-14
сл - IN
-23
-32
A. The data represent an exponential function because there is a
common ratio of 4.
B. The data represent a linear function because there is a common
difference of 9
C. The data represent an exponential function because there is a
5
common ratio of -
D. The data represent a linear function because there is a common
difference of -9.

Answers

Answer:-8

Step-by-step explanation:

The data represent a linear function because there is a common difference of -9.

What is a linear function?

The term linear function refers to two distinct but related notions: In calculus and related areas, a linear function is a function whose graph is a straight line, that is, a polynomial function of degree zero or one.

Given, the table, we need to see whether the data in the table represent a linear function or an exponential function.

From the table, we have the following highlight :-

As the values of x increase by 1, the values of y decrease by 9

A decrement of 9, means -9

This means that, the common difference is -9.

Only a linear function can have a common difference.

Hence, the true statement is (b)

Read more about linear functions at:

brainly.com/question/15602982

#SPJ2

Gabriel took a bath on Monday evening. He measured the water and found that he used 1,235l of water. On Tuesday, he took a shower and only used 478 litres of water. What was the difference in volumes? How much water did he used in total?

Answers

Answer:a)757liters

b)1, 713 litres

Step-by-step explanation:

Amount of water used on Monday =1,235l

Amount of water used on Tuesday =478liters

Difference in volumes for the two days

=1,235l -478l

=757liters.

Total amount of water used up in Total

1,235litres +478liters

=. 1, 713 litres.

Help!!!!!!!! And again this is only a review!!!!!!!! Question is on image below.

Answers

Answer:

is it this one?

Step-by-step explanation:

The length of the base of an isosceles triangle is x. The length of a leg is 3x + 2. The perimeter of the triangle is 39. Is there enough information to solve for x? If so, find x. A. Not enough information B. 9 о с. 5 D. 12.5​

Answers

Answer:

Step-by-step explanation:

2(3x+2) + x = 39

6x+4+x = 39

7x = 35

x = 5

If WZ = 23 and XZ = 18, what is YZ?
pls help

Answers

Answer:

YZ = 14

Step-by-step explanation:

We are told that;

WZ = 23 and XZ = 18

Now, ∠X in △XWZ which is a right angle triangle can be gotten using trigonometric ratio.

Thus;

WZ/XZ = tan θ

23/18 = tan θ

tan θ = 1.2778

θ = tan^(-1) 1.2778

θ = 51.95°

Now, the ∠X is 90° in △XWY.

Thus, in △XZY, ∠X = 90 - 51.95 = 38.05°

Again, using trigonometric ratio, we can find YZ.

Thus;

YZ/XZ = tan 38.05°

YZ = XZ tan 38.05°

YZ = 18 × 0.7827

YZ = 14.0886

Approximating to a whole number gives: YZ = 14

Ron made 3 pitchers of lemonade sell at a lemonade stand. The cost of making the lemonade is 50 cents per pitcher of lemonade.

He sold each cup of lemonade for 15 cents, and he sold a total of 36 cups of lemonade.

How much money did Ron make selling lemonade after paying out the cost of making the lemonade?

Answers

Answer:

Step-by-step explanation:

cost = 3 pitchers × $0.50/pitcher = $1.50

revenue = 36 cups × $0.15/cup = $5.40

profit = $5.40 - $1.50 = $3.90

Please when answering show your full work. Step-by-step process.

Answers

Answer is picture below. Sorry, they are not in order while being worked at but, they ate in order in the function.

Jacob was out at a restaurant for dinner when the bill came. His dinner came to $18. After adding in a tip, before tax, he paid $20.70 find the percent tip

Answers

What you have to do is just add 18 plus what equals to 20 so you would get 2

1.) Find f(4) for f(x) = 3x - 4

Answers

The answer is f(4)=8 hope this helps can I have brain list pls I really need it right now

A fireworks rocket is launched from a hill above a lake. The rocket will fall into the lake after
exploding at its maximum height. The rocket's height above the surface of the lake is given by g(x)=
-16x² + 64x + 80. What is the maximum height of the rocket?

Answers

Answer:

(2,114)

Step-by-step explanation:

g(x)= -16x² + 64x + 80

Plug 2 in to check if it's correct.

g(2)= -16(2)² + 64(2) + 80

-16(4)+128+80

-64+128+80

= 144

Answer:

144

Step-by-step explanation:

I need help please!!

Answers

Answer:

the initial amount of investment is 1000$, it grows at a rate of 1.1%, and the value after 10 years is 2853.12.

Step-by-step explanation:

i hope this helps!

Find the slope and the y-intercept of the line.
5x-4y=-8
Write your answers in simplest form.

Answers

Answer:

The slope is 5/4 and the y-intercept is 2.

Step-by-step explanation:

5x-4y=-8

4y=5x-(-8)

4y=5x+8

y=5/4x+8/4

y=5/4x+2

y=mx+b where m=slope and b=y-intercept.

PLS. HELPPPP I WILL GIVE BRAINLITES
12 What is the slope of this line?

Answers

Answer:

positive slope

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:


what is the value of x in this figure?
23
43
57
80​

Answers

Answer:

Step-by-step explanation:

Supplement of 123° = 180°-123° = 57°

x = 180-57-80 = 43°

can u help me with this??​

Answers

Arc LMN = 360-110=250°

Picking a blue marble, a green marble, and another blue marble (replacing it in the bag each time) from a bag of 2 blues, 4 reds, and 4 greens

Answers

4 green marbles yeah

Do 14-15 please.I’m begging youuu!

Answers

Answer:

14. T = 20 + 1.50d so T = 44, 15. p = 1.25s - 135 must sell 109 to make a profit

Step-by-step explanation:

14. T = 20 + 1.50d so for 16 deliveries T = 20 + 1.50(16) , T = 44

15. p = 1.25s - 135 so if they sell 109 items (s) there is a profit since the profit starts after the original cost is recovered

A student earns an 80% on their science test. If she got 20 questions correct, how many total were on the test?

Answers

Answer:

25 questions

Step-by-step explanation:

20 questions = 80%  If she got 80%, that means she got 20 questions correct.

5 questions = 20%  Here, we simply just divide by 4 to give us 20%.

25 questions = 100%  The total of the test would of course equal 100%, so we just multiply by 5 to give the total questions.

I hope this helps you!! ^-^

Answer:

25.

Step-by-step explanation:

By proportion it is

(100/80) * 20

= 1.25 * 20

= 25.

simplify y^3 + 11y^2 - 10y + 6 / y + 2

Answers

Answer: used the synthetic division method

y^2+9y-28+(62/y+2)

Step-by-step explanation:

Does anyone know the correct answer for this!?!!

Answers

Answer:

2

Step-by-step explanation:

Use the vertex form equation first since you are given the vertex (-1,-2) where you have (h,k) so h = -1 and k = -2

y =  [tex]a (x - -1)^{2}[/tex] + (-2) so if you simplify we get y =  a(x+1)^2 -2

Since we are also given a point we can solve for a so x = 2 and y = 16

16 = a(2+1)^2 - 2

16 = a(3)^2 - 2

18 = 9a

a = 2

6
5
21
-2
2
3
Equation:

Answers

Answer:

y = 1/2x + 3

Step-by-step explanation:

Rise/Run and since y = 3 when x = 0, then the b part in y = mx + b is 3.

here are the score that Jenna has received on her seven quizzes 16 13 20 16 12 17 18 what is the mean

Answers

Answer:

so you're adding up all the numbers together so 16+13+20+16+12+17+18=112

then you are dividing it by how many numbers there are so there are 7 numbers in total 112÷7=16

Help me with this!!! ( fake answers will be reported)

Answers

Answer:

16

Step-by-step explanation:

3x-8=2x

x=8

QR=2*8=16

An aquarium has 14 angel fish, 12
clownfish and 18 seahorses. What is the
ratio of seahorses to total number of fish?

Answers

Answer:

18 : 26

Step-by-step explanation:

It is very easy, angel fish and clown fish are fish, so once you add them up you get 26. The seahorses are 18 and we are supposed to make them S:F. Therefore you put the seahorses first and the fish second, so you get the answer 18:26

The graph of the invertible function f is shown on the grid below
What is the value of f^-1(6)

Answers

Given:

The graph of an invertible function [tex]f[/tex] is given.

To find:

The value of [tex]f^{-1}(-3)[/tex].

Solution:

We know that, if the graph of an invertible function [tex]f[/tex] passes through the point (a,b), then the inverse function [tex]f^{-1}[/tex] passes through the point (b,a).

From the given graph it is clear that the graph of the function [tex]f[/tex] passes through the points [tex](-5,-3)[/tex].

So, the inverse function [tex]f^{-1}[/tex] must be passes through the point [tex](-3,-5)[/tex].

Therefore, the value of inverse function is [tex]-5[/tex] at [tex]x=-3[/tex]. So, the value of [tex]f^{-1}(-3)[/tex] is [tex]-5[/tex].

Answer: -5

Step-by-step explanation:

khan academy

a car crosses a bridge 400 m long at 80km/h. how long does it take to cross the bridge

Answers

Answer:

18 seconds

Step-by-step explanation:

convert km/h to m/s and you get 22.22m/s. Then divide 400 by 22.22 and the answer is 18 seconds.

Hopefully this helps! Let me know if you have any questions!

Charlotte borrows $9000 to buy a second-hand car. The loan must be repaid
over 5 years at 12% p.a. simple interest. Calculate the
total amount to be repaid

Answers

Answer:

$13,400

Step-by-step explanation:

Simple Interest = principal × rate × time

principal= $9000

Rate= 12/100=0•12

Time=5years

Simple interest =PRT

= 9000× 0•12 × 5

= 5400

Total amount to be paid = 9000 + 5400

= $13400

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