If the legs of a right triangle are x, (2x - 1) and its hypotenuse is (2x + 1), what is the value of x?​

Answers

Answer 1

Answer:

x=8

Step-by-step explanation:

(2x + 1)² = x² + (2x - 1)² = x² + (2x - 1)(2x - 1)

(2x + 1)(2x + 1) = x² + 4x²-2x-2x+1

4x²+2x+2x+1 = 5x²-4x+1

4x²+4x+1 = 5x²-4x+1

0= 5x²-4x²-4x-4x+1-1

0= x²-8x

x²-8x=0

x²=8x

x=8


Related Questions

The Bald Eagle is an endangered species making a remarkable comeback. Its population has grown 6% annually since 1975, when there were only 575 nesting pairs in the continental USA. a) Is this situation ​linear​ or ​exponential​? Why?

Answers

Answer:

Exponential because the bald eagle is having to come back. I don't know why because this is a guess

Step-by-step explanation:

if you can help i would be happy

Answers

Answer:

x =8

Step-by-step explanation

8 - 5 + 3 = 9    

Can you help me please and thank yoh

Answers

Answer:

60, 3, 4, 150

Step-by-step explanation:

The top row you count by 1

On the second row you count by 30

Sheldon is creating a graph to represent the trip he takes from his home to his favorite clothing store. In his graph, one unit on the coordinate plane is equal to one mile. He draws a point at $\left(4,\ 3\right)$ to represent the location of his house. The store is $5$ miles away from his house. Which coordinate pairs could represent the location of Sheldon's favorite clothing store?

Answers

Answer:

hjgfghjk

Step-by-step explanation:

:)

Simplify the expression: 12 + 6w² + 5m² + 14w + 9m² - 4w - 10

Answers

Answer:

[tex]14m^{2}[/tex]+[tex]6w^{2}[/tex]+10w+2

Step-by-step explanation:

You have to add similar numbers.

you can buy 3 t-shirts for $22.50. write and solve a proportion that shows how many t-shirts you could buy with $110

Answers

Answer:

14.6 T-Shirt

Step-by-step explanation:

Well, you divide 22.50 and 3 and you get 7.5.

Once you get 7.5 you divide it by 110 which is 14.6

Solve the following equation for h. 4 = hn

Answers

Answer:

[tex]h = \frac{4}{n}[/tex]

Step-by-step explanation:

Isolate the variable by dividing each side by factors that do not contain the variable.

Hence, you get the following answer:

[tex]h = \frac{4}{n}[/tex]

Hello!! I have a question, can you please answer it. ^^
The school nurse is assembling first-aid kits for the teachers. She has 75 bandages and 90 throat lozenges.
All the kits must have the same number of each supply, and all supplies must be used.

a. What is the largest number of kits the nurse can make?

b. How many bandages and lozenges will be in each kit?

Answers

A) The largest amount of kits the nurse can make is 75.

B) There would be 1 bandages and 1 lozenges in each kit.

Answer:

A) The largest amount of kits the nurse can make is 75.

B) There would be 1 bandages and 1 lozenges in each kit.

Step-by-step explanation:

Hey need help again guys

Answers

Answer:

the answer is 2x

Step-by-step explanation:

d 2x is the answer because 2x can factor into both numbers

Find the 75th term of the arithmetic sequence -17, -13, -9....

Answers

Answer:

The 75th term of the arithmetic sequence -17, -13, -9.... is:

[tex]a_{75}=279[/tex]

Step-by-step explanation:

Given the sequence

[tex]-17, -13, -9....[/tex]

An arithmetic sequence has a constant difference 'd' and is defined by  

[tex]a_n=a_1+\left(n-1\right)d[/tex]

computing the differences of all the adjacent terms

[tex]-13-\left(-17\right)=4,\:\quad \:-9-\left(-13\right)=4[/tex]

The difference between all the adjacent terms is the same and equal to

[tex]d=4[/tex]

The first element of the sequence is:

[tex]a_1=-17[/tex]

now substitute [tex]d=4[/tex] and [tex]a_1=-17[/tex] in the nth term of the sequence

[tex]a_n=a_1+\left(n-1\right)d[/tex]

[tex]a_n=4\left(n-1\right)-17[/tex]

[tex]a_n=4n-21[/tex]

Now, substitute n = 75 in the [tex]a_n=4n-21[/tex] sequence to determine the 75th sequence

[tex]a_n=4n-21[/tex]

[tex]a_{75}=4\left(75\right)-21[/tex]

[tex]a_{75}=300-21[/tex]

[tex]a_{75}=279[/tex]

Therefore,  the 75th term of the arithmetic sequence -17, -13, -9.... is:

[tex]a_{75}=279[/tex]

Hannah invested $540 in an account paying an interest rate of 4.7% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest hundred dollars, would be in the account after 18 years?

Answers

I got $1,234 by the 18th year

Answer:

1300

Step-by-step explanation:

did it on usatestprep

find the angles for

a=?
b=?
c=?​

Answers

53+44=97
180-97=83
C=83 degrees
b=180-83
b is 97 degree
180 because straight line btw
28+97=125
180-125=55
a=55 degrees
Angles in triangle add up to 180 degree s

(50 POINTS) What transformation takes the graph of g(x)=x^2−5 to the graph of h(x)=x^2−1?

translation 4 units up


translation 1 unit up


translation 1 unit down


translation 4 units down

Answers

Answer:

translation 4 unites up

Step-by-step explanation:

the thing that is changing is the y intercept and the y intercept went up by 4 therefore it is a translation 4 units up

hope this helps (:

The transformation from the function g(x)=x²-5 to h(x)=x²-1 is translation 4 units up. Therefore, option A is the correct answer.

What is a transformation?

A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure. The original shape of the object is called the Pre-Image and the final shape and position of the object is the Image under the transformation.

The given functions are g(x)=x²-5 and h(x)=x²-1.

From the function g(x)=x²-5 to h(x)=x²-1, the translation by 4 units up.

Now, g(x)=x²-5+4

So, h(x)=x²-1

Therefore, option A is the correct answer.

Learn more about the transformation here:

https://brainly.com/question/11709244.

#SPJ2

can you help me please ​

Answers

Cos(5/12)=65.4
It won't let me do short anwser

a) Simplify
X-2
7(x - 2)2

Answers

Answer:

the fist u cant simply is it will be x - 2

second is 14x-28

Step-by-step explanation:

solve for t. -1 (t + 8) = -7.1 brainly

t=___?
(Please hurry!)

Answers

Answer:

.9

Step-by-step explanation:

-1(t+8) = -7.1

PEMDAS

So times the parenthesis by -1

-t - 8 = -7.1

Add the 8 to itself to get rid of it

Then since you added it on the left, add it to the right

-t = .9

t = .9

What is the sum of d° + e°?

Answers

Answer:

d° + e° = 180°

Step-by-step explanation:

-5x+2y=16
Please help me

Answers

2y=5x +16

Y= 5/2x +16

Explanation: you bring the x over and change the sign. Then you divide all numbers by 2. Now you either graph or leave it, but I don’t know what you are being told to do next.

Parallel/perpendicular definition

Answers

Answer:

Parallel: extending in the same direction, everywhere equidistant.

Perpendicular: ar an angle of 90 to a givin line, plane or surface.

Answer:

Two or more straight lines having equal distance between them through out is parallel lines

Perpendicular lines are two lines at Right angles

2
Landon used a semicircle, a rectangle, and a right triangle to form the figure shown.
6 cm
4 cm
10 cm
Which is the best estimate of the area of the figure in square centimeters?
F
52 cm
44 cm
H
26 cm
J
38 cm
©2021 Illuminate Education, Inc.
O

Answers

Rectangular 4cm shown

Please i need help with this please

Answers

Answer:

Your answer would be 9.

Step-by-step explanation:

You always do parenthesis first, 9-6 is 3, then you would do division 3÷3 is 1 then you multiply 4×2 and that would be 8, finally you would at the 8 and the 1 and that would give you 9 as your answer. Hope this helps

Please I Need Help

I'm stuck on this question ⁉️

Answers

Answer:

greater than

Step-by-step explanation:

Please forgive me if wrong

please help! A pack of cinnamon-scented pencils sells for $6.00. What is the sales tax rate if the total cost of the pencils is $6.18?

Answers

Answer:

The sales tax is 3%

Step-by-step explanation:

The nth term of a sequence is given by 3n + 7.
Write down the fifth term of this sequence.
I

Answers

3n+7=10,13,16,19,22
Fifth term in the sequence = 22
Answer:
22

Explanation:
n = 5
3 x 5 = 15
15 + 7 = 22

HELP AND YOU CAN GET THE CROWN

Answers

Answer:

g(r - 9) = r² - 18r + 89

Step-by-step explanation:

To evaluate g(r - 9), substitute p = r - 9 into g(p) , that is

g(r - 9) = (r - 9)² + 8 ← expand factor using aFOIL

           = r² - 18r + 81 + 8

           = r² - 18r +89

Help me please It is timed​

Answers

according to me answer is

0.5b

Answer:

b

Step-by-step explanation:

Find an order pair (x,y) that is solution to the equation 3x-y=8

Answers

Answer:

(2.67,-8)

Step-by-step explanation:

You first make x 0 so it is -3x0 to cancel that out to find y. You then see that you get -y=8 so you make y positive by moving the negative to the other side to get y = -8. Then, you do the same type of process for x and get 2.67. I could be wrong but wanted help as much as I could!

PLEASE HELP ME!

Solve: system by elimination form

1.
2x + y = 25
3y = 2x - 13
----------------------------------------------------

Answers

2x+y=25
-2. -2
1y=23
1y=1y
Y=23
Here is the answer this is the full answer Im just typing cause the app want me to do

Neeeeddd helllp again again

Answers

Answer:

A

Step-by-step explanation:

3.5 + p = 7.5

Subtract from 3.5 from both sides.

p = 7.5 - 3.5

Simplify

p = 4

A is the number line that has the correct answer.

Convert 2.1 A to nanometers

Answers

In words = two point one nm (nanometers)
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