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mylen [45]
3 years ago
9

If the legs of a right triangle are given by x2 - y2 and 2xy, then which expression equals the hypotenuse? choose all that apply

. x2 y2 (x2 y2)2 (x2 - y2)2 (2xy)2
Mathematics
1 answer:
11Alexandr11 [23.1K]3 years ago
3 0
Hypothenus = sqrt ((x^2 - y^2)^2 + (2xy)^2) = sqrt(x^4 - 2x^2y^2 + y^4 + 4x^2y^2) = sqrt(x^4 + 2x^2y^2 + y^4) = sqrt(x^2 + y^2)^2 = x^2 + y^2
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What is the fourth term in the sequence given by a n=5n+3
OverLord2011 [107]
To determine the fourth term, plug 4 into the equation;
n = 5n+3 \\  n_{4} =5(4)+3 \\  n_{4} =20+3 \\ n_{4}=23
3 0
3 years ago
a rectangle is made by joining two squares adjacent to each other as shown below. if one squared has an area of 144 squared cent
liberstina [14]

Answer:

Hello! After reading your question I have deduced that the correct answer is 288² cm.

Step-by-step explanation:

The way I came to this conclusion was as follows:

Firstly:

If said rectangle is two squares put side by side (adjacent), then a valid assumption is that both squares are the same size.

This is because all four sides of a square have to be equal.

Thus if the two squares are joined together on one side, then all the other sides of both the squares will be the same length.

Thus both of the squares are going to be the same size, so they will have the same area.

Secondly:

If the area of one square is 144² cm then the area of the other square should also be 144² cm.

Thus if you combine the areas of both the squares, that make up the rectangle, you are left with the area of the rectangle being 288² cm.

I hope this helped!

3 0
2 years ago
Part A: Abe rented a bike at $36 for 5 days. If he rents the same bike for 8 days, he has to pay a total rent of $48. Write an e
worty [1.4K]

a)

y=4 x +(1.6 X 10)


b)

y=4x +16


c)

x=0 y=0+16 (0,16)

x=1 y=4 +16 (1,20) first day it cost $20

x=2 y=8+16 (2,24) second day it cost $24

x=3 y=12+16 (3, 28) third day it cost $28


plot (0,16) , (1,20), (2,24), (3, 28)


i hope this help

7 0
3 years ago
This graph shows how the amount of tape Kurt has used is related to the number of presents he has wrapped.
Misha Larkins [42]

Answer:

C 3 cm per present

Step-by-step explanation:

1 = 3cm

2 = 6cm

3 = 9cm

8 0
3 years ago
Nathan had an infection, and his doctor wanted him to take penicillin. Because Nathan’s father and paternal grandfather were all
Art [367]
Nathan has an infection and he needs to be treated with penicillin
But there’s a 75% probability of him being allergic to penicillin
And to test if the skin reacts to penicillin, the test is 98% accuracy
So even if he has the allergy the test is only 98% accurate of identifying the allergy
Therefore we are asked to find the probability of both these events happening
Event 1 and event 2 both should happen then. When the ‘and’ function is used in probabilities then the probabilities of both events happening should be multiplied
Therefore probability that Nathan has the allergy and test predicts it is
= 75% x 98% = 0.735
The answer is D. 0.735
6 0
3 years ago
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