An isosceles right triangle has a hypotenuse length that can be modeled with the function h(x) = sqaure root of 2 The combined
length of the legs can be modeled with the function L(x) = 2x.
Which function, p(x), can be used to find the perimeter of the triangle?
A. P(x)=x/2 √2 + x
B. P(x)=x √2 +2x
C. P(x) = x √2 + 4x
D. P(x) = 2x √2 + 4x

Hurry timed!!

Answers

Answer 1

The legs are defined by [tex]L(x) = 2x[/tex]. The Hypotenuse if defined by [tex]h(x) = L(x)\cdot \sqrt{2}[/tex]. The perimeter is defined by:

[tex]p(x) = h(x)+2\cdot L(x) \\~\\p(x) = L(x)\cdot\sqrt{2} +2\cdot L(x) \\~\\p(x) = L(x)\cdot\left(\sqrt{2}+2\right) \\~\\p(x) = 2x\cdot\left(\sqrt{2}+2\right) \\~\\p(x)= 2\sqrt{2}x+4x[/tex]

D. P(x) = 2x √2 + 4x

Answer 2

The perimeter of the isosceles right triangle will be P(x) = x√2 + 2x. Then the correct option is B.

What is the triangle?

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

The sum of all the sides of the triangle will be known as the perimeter of the triangle.

In an isosceles triangle, the two legs of the triangle are congruent and their opposite angles too.

An isosceles right triangle has a hypotenuse length that can be modeled with the function h(x) = x√2.

The combined length of the legs can be modeled with the function L(x) = 2x.

Then the perimeter of the isosceles right triangle will be

P(x) = h(x) + L(x)

P(x) = x√2 + 2x

Thus, the perimeter of the isosceles right triangle will be P(x) = x√2 + 2x.

Then the correct option is B.

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Related Questions

The area of the sahara desert is 7 times the area of the gobi desert if the are of the sahara is approximately 3.5 million square miles what is the area of the gobi desert

Answers

Answer: 500,000

Step-by-step explanation:

3.5M/7=500,000

Help please picture attached

Answers

Answer:

i think the answer is 60

Step-by-step explanation:i did the math

I had $13.00. My Mom gave $10.00. My Dad gave $30.00. My Aunt, My Uncle and grandma gave me $100.00. I had another $7.00. How much did I have? ​

Answers

$160 in total you have

The amount of money one has is $160

Amount of money one already has = $13 +$7 = $20.........(1)

Money given by Mom = $10 ...........(2)

Money given by Dad = $30.............(3)

Money given by Uncle , Aunt and grandma = $100...........(4)

Total amount of money one has  can be found out by adding equation (1) , (2) (3)  and (4) hence we can write

Total amount of  money one has = Amount of money one already has + Money given by Mom+ Money given by Dad + Money given by Uncle , Aunt and grandma

[tex]\rm Total \; amount\; of \; money \; one\; has = 20 + 10 +30 +100 = 160[/tex]

The amount of money one has is $160

For more information  please refer to the link given below

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Help please!! This is timed!

Answers

Answer:

b. s = -21t + 84

Step-by-step explanation:

Ms. Patel's gym class is practicing soccer. Ms. Patel has 18 soccer balls and 3 teams of students. She gives the same number of balls to each team. How many balls does Ms. Patel give each team? Which expression represents the problem? 18 – 3 18 +3 18 : 3 18 x 3​

Answers

Step-by-step explanation:

18 ball=3team

18=3x

x=18/3

x=6

the answer is 18:3

if (:) this sigh of urs indicate divide

what is the answer on this 3abc + bc - a​

Answers

3b^2c^2 is the answer i’m pretty sure

Nate went camping with his family. They left their house at 4:20 P.M. It took 1 hour and 15 minutes to drive to the campground. When they arrived, they spent 40 minutes setting up the campsite and 1 hour and 15 minutes cooking dinner. What time was it when Nate and his family finally ate dinner?

Include A.M. or P.M. in your answer (for example, 11:58 A.M.).

Answers

Answer:

7:30 P.M

Step-by-step explanation:

4:20. 1:15. 90

+ 1:15 + 40 -60

--------- ----------- ---------

5:35 1:55 30

+1:55

---------- 6:90 -----> 7:30

6:90

13,13,15,27,47,67,97,153,?

Answers

Answer:

The number sequence that you wrote down is called Fibonacci Sequence __

Step-by-step explanation:

A parabola has its focus at (1,2) and its directrix is y = −2. The equation of this parabola could be...?

Answers

9514 1404 393

Answer:

  y =1/8(x -1)^2

Step-by-step explanation:

The vertex is halfway between the focus and directrix, so has y-coordinate (2-2)/2 = 0. The x-coordinate of the vertex is the same as that of the focus. The focus-vertex distance (p) is 2-0 = 2. Where the vertex is (h, k), the equation is ...

  y = 1/(4p)(x -h)^2 +k

For p=2, (h, k) = (1, 0), the equation of the parabola is ...

  y = 1/8(x -1)^2


Can someone please help it’s very important, give a full description please

Answers

Answer:

Explained below

Step-by-step explanation:

We are told that; Line CA = Line CD

Thus, it means that;

∠ACD = ∠BCD

Line CE is equal in both triangles. Thus,

Line CE = Line CE

This then implies that;

ΔACD = ΔBCD

Finally, it means that;

Line AD = Line BD

Since Line AD = Line BD, it means the perpendicular line from point C touching D is a bisector of Line AB

In the “Lucky Chances” lottery a box has 100 balls. 60 balls are marked “Good.” 40 balls are marked, “Bad.” To play this lottery, you draw a ball at random and look at the message. You play this lottery every day. What happens over the course of 500 plays?

Answers

Answer:

Lucky Chances” lottery a box has 100 balls. 60 balls are marked “Good.” 40 balls are marked, “Bad.” To play this lottery, you draw a ball at random and look

Over the course of 500 plays, you can expect to draw a "Good" ball 300 times.

Over the course of 500 plays, you can expect to draw a "Bad" ball 200 times.

What is probability?

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

Example:

The probability of getting a head in tossing a coin.

P(H) = 1/2

We have,

The probability of drawing a "Good" ball is 60/100 or 0.6.

The probability of drawing a "Bad" ball is 40/100 or 0.4.

We can use these probabilities to determine what will happen over the course of 500 plays:

On average, you can expect to draw a "Good" ball 0.6 times for every play. So over the course of 500 plays, you can expect to draw a "Good" ball 0.6 x 500 = 300 times.

On average, you can expect to draw a "Bad" ball 0.4 times for every play. So over the course of 500 plays, you can expect to draw a "Bad" ball 0.4 x 500 = 200 times.

Note that these are expected values based on the probabilities, and there is no guarantee that you will actually draw exactly 300 "Good" balls and 200 "Bad" balls.

However, over a large number of plays, the actual results should approach these expected values.

Thus,

Over the course of 500 plays, you can expect to draw a "Good" ball 0.6 x 500 = 300 times.

Over the course of 500 plays, you can expect to draw a "Bad" ball 0.4 x 500 = 200 times.

Learn more about probability here:

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Simplify step by step 1/2 (8x -4)

Answers

Answer:

4x-2

Step-by-step explanation:

in 2013 the median weekly earnings of young adults with bachelor degrees were $1108. This represents a 43% increase over the weakly median earnings of young adults with associate degrees. Find the median weekly earnings of young adults with associate degrees in 2013. Round to the nearest whole dollar.

Answers

Answer:

Round to the nearest whole dollar, the median weekly earnings of young adults with associate degrees in 2013 were $ 775.

Step-by-step explanation:

Given that in 2013 the median weekly earnings of young adults with bachelor degrees were $ 1108, and this represents a 43% increase over the weakly median earnings of young adults with associate degrees, to determine the median weekly earnings of the latter, the following must be done calculation:

X x 1.43 = 1108

X = 1108 / 1.43

X = 774.82

Therefore, round to the nearest whole dollar, the median weekly earnings of young adults with associate degrees in 2013 were $ 775.

Calculate the unit run of a hip rafter if the unit run of a common rafter is 14’?

A. 4’

B. 20’

C. 28’

D. 14’

Answers

Answer:

C

I'm not sure if my answer is correct

The answer is d welcome


Write a function to represent the set of ordered pairs.
112,2), (3, 8), (4, 22), 15.40)

Answers

I think it’s (3,8) don’t attack me

how do you graph y>x-3

Answers

Answer:

Step-by-step explanation:

Hope this helps! Have a nice day!

(7/8x - 4) -3 (1/4x+6) = How do I solve this problem?

Answers

Answer:

B

Step-by-step explanation:

You Do MATHS

y + 8 + 6(y + 2) please help my teacher is calling me name and i cant answer so i need to answer this question or im gonna get in trouble

Answers

Answer:

7y+20

Step-by-step explanation:

Now Im going to first do the brackets so

y+8+(6y+12)   (now the brackets is what I just did)

so just add the y and the 8 to the others

7y+20

good luck ovo

The Roosevelt high school environment club is cleaning up trails. They start at ponderosa flats, which is 63 feet below sea level. They climb to point Serrano which is 1,287 feet above sea level. How many feet did it climb

I will give brainlest and extra points for this please complete less in 5 minutes it is due

Answers

consider sea level to be 0

since we are 63 ft below sea level, we are technically at -63

1287 ft above sea level is +1287

take the absolute value of both of these and add them
63 + 1287 = 1350

the final answer is 1350!

It is estimated that during the past year 28% of Allah does visit a therapist and 40% 6% of ours Tuesday not prescription antidepressant it is also estimated that 20% of adults will visit a therapist and used a non prescription antidepressants underpaid share a an adult who is a therapist on the pages randomly selected what is the probabilities adult using a prescription antidepressants Roger answer to 2 decimal places being what is the probability that an adult this a therapist would pay share given their here she used numbers which at the present round your answer to do 2 decimal places​

Answers

Step-by-step explanation:

nsnsns.sn.sns sns sns sn sns sns bs s s. _bssbs. s sbs bshuvvghvyvyvyvyv. y yyttvt. vyvyvyvy. yvvy vv. ybybb. sbsbbs snsn s snb a sjs. s s s

Pio can wash the dishes for 1hour her sister can wash dishes for half an hour how long would they wash dishes if they work together

Answers

Answer:

Pio and her sister can finish the dishes in 20 minutes if they work together.

Step-by-step explanation:

Given that:

Pio can wash the dishes in 1 hour or 60 minutes

Her sister can wash the dishes in half hour or 30 minutes.

Let,

x be the time it would take for both of them.

[tex]\frac{1}{Pio's share}+\frac{1}{Her\ sister\ share} = \frac{1}{x}\\\\\frac{1}{60}+\frac{1}{30} = \frac{1}{x}\\\\\frac{1+2}{60}=\frac{1}{x}\\\\\frac{3}{60} = \frac{1}{x} \\\\\frac{1}{20}=\frac{1}{x} \\\\x=20[/tex]

Hence,

Pio and her sister can finish the dishes in 20 minutes if they work together.

Find the average rate of change of the function
f(x)=(1/x-7)
as x changes from x=-2 to x=5

Answers

Answer:

[tex] -\frac{1}{18} [/tex]

Step-by-step explanation:

Average rate of change = [tex] \frac{f(b) - f(a)}{b - a} [/tex]

Where,

a = -2,

f(a) = f(-2) = [tex] \frac{1}{(-2) - 7} = \frac{1}{-9} [/tex] = -⅑

f(a) = -⅑

b = 5

f(b) = f(5) = [tex] \frac{1}{(5) - 7} = \frac{1}{-2} [/tex] = -½

f(b) = -½

Plug in the values into the equation

Average rate of change = [tex] \frac{-\frac{1}{2} - (-\frac{1}{9}}{5 -(-2)} [/tex]

[tex] = \frac{\frac{-9 - (-2)}{18}}{7} [/tex]

[tex] = \frac{\frac{-7}{18}}{7} [/tex]

[tex] = \frac{-7}{18} * \frac{1}{7} [/tex]

[tex] = \frac{-1}{18} * \frac{1}{1} [/tex]

[tex] = \frac{-1}{18} * 1 [/tex]

[tex] = -\frac{1}{18} [/tex]

Which geographical feature separates China and Mongolia?

Gobi Desert
Loess Plateau
Eastern Steppe
Manchurian Plain

Answers

Answer:

Step-by-step explanation

The desert basins of the Gobi are bounded by the Altai Mountains and the grasslands and steppes of Mongolia on the north, by the Taklamakan Desert to the west, by the Hexi Corridor and Tibetan Plateau to the southwest and by the North China Plain to the southeast.

The geographical feature that separates China and Mongolia is the Gobi Desert.

We have,

The geographical feature that separates China and Mongolia is the Gobi Desert.

The Gobi Desert is a vast desert region located between northern China and southern Mongolia.

It acts as a natural barrier and serves as a distinct boundary between the two countries.

Thus,

The geographical feature that separates China and Mongolia is the Gobi Desert.

Learn more about boundaries here:

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Determine whether the given statement is true or false.
22 E{13, 15, 17...., 31)
Choose the correct answer below.
A True
False

Answers

Answer:

false I think the number is prime num and 22 is not prime

WHAT IS THE EQUATION OF THE LINE IN SLOPE INTERCEPT FORM ?

Answers

Answer:

y=-6x

Step-by-step explanation:

P.S. is that IXL :(

32=32+? I need help its annoyings

Answers

Answer:

0

Step-by-step explanation:

32=32+0

Answer:

0 would be the answer because 0+32= 32

Step-by-step explanation:

Pls mark brainliest

3 A line passes through the point (8,6) and has a slope of 3/2 Write an equation in slope-intercept form for this line.​

Answers

Answer:

y = 3/2x - 6

Step-by-step explanation:

6 = 3/2(8) + b

6 = 24/2 + b

6 = 12 + b

b = -6

y = 3/2x - 6

Moly runs 2/3 of a mile in 8 minutes. Lin runs 2 3/4 miles in 2/5 of and hour

How far can Moly run in one hour?

Answers

Answer:

5 miles

Step-by-step explanation:

distance / time = distance / time

2/3 ÷ 8/1 = d / 60

[tex]\frac{2}{3}[/tex] · [tex]\frac{1}{8}[/tex] = [tex]\frac{d}{60}[/tex]

[tex]\frac{1}{12}[/tex] = [tex]\frac{d}{60}[/tex]

12d = 60

d = 60/12

d = 5

Write a polynomial function for f(2) = 0 with a multiplicity of 2 and f(-1) = 0.​

Answers

f(2) = 0 with multiplicity of 2 so (x-2) is a factor of the polynomial.

f(-1) = 0 so (x+1) is a factor.

f(x) =(x-2)^2(x+1) = (x^2-4x+4)(x+1) = x^3-3x^2+4

Here are 4 equations defining 4 different functions, a, b,c, and d. List them in order of
increasing rate of change. That is, start with the one that grows the slowest and end
with the one that grows the quickest.
a. (x) = 5x + 3
b. (x) = 3x + 5
c. (x) = x +4
d. (x) = 1 + 4x

Answers

Step-by-step explanation:

In order to test the rate of growth of the functions, we use a single value of x to monitor the results of all the equation.

Let's use a random value of 3;

The equation with the highest result is the one that grows the quickest

a. (x) = 5x + 3

a. (x) = 5(3) + 3 = 18

b. (x) = 3x + 5

b. (x) = 3(3) + 5 = 14

c. (x) = x +4

c. (x) = (3) +4 = 7

d. (x) = 1 + 4x

d. (x) = 1 + 4(3) = 1 + 12 = 13

Upon going through the results and arranging in increasing order;

c. (x) = x +4

d. (x) = 1 + 4x

b. (x) = 3x + 5

a. (x) = 5x + 3

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