1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Alika [10]
3 years ago
12

Which of the following sets could be the sides of a right triangle?

Mathematics
1 answer:
coldgirl [10]3 years ago
7 0

Answer: Choice B) {3, 5, sqrt(34)}

=====================================

Explanation:

We can only have a right triangle if and only if a^2+b^2 = c^2 is a true equation. The 'c' is the longest side, aka hypotenuse. The legs 'a' and 'b' can be in any order you want.

-----------

For choice A,

a = 2

b = 3

c = sqrt(10)

So,

a^2+b^2 = 2^2+3^2 = 4+9 = 13

but

c^2 = (sqrt(10))^2 = 10

which is not equal to 13 from above. Cross choice A off the list.

-----------

Checking choice B

a = 3

b = 5

c = sqrt(34)

Square each equation

a^2 = 3^2 = 9

b^2 = 5^2 = 25

c^2 = (sqrt(34))^2 = 34

We can see that

a^2+b^2 = 9+25 = 34

which is exactly equal to c^2 above. This confirms the answer.

-----------

Let's check choice C

a = 5, b = 8, c = 12

a^2 = 25, b^2 = 64, c^2 = 144

So,

a^2+b^2 = c^2

25+64 = 144

89 = 144

which is a false equation allowing us to cross choice C off the list.

You might be interested in
pheobe has 9 rocks. she puts the rocks into 3 boxes. Each box 1 more rock then the last. How many rocks are in each box
Svetllana [295]
Hello!

We can write this as the system of equations below. We have boxes A, B, and C.

A+B+C=9
B=A+1
C=B+1

First of all we can plug our B and C values into the first equation and solve for A.

A+A+1+A+1+1=9
3a+3=9
3a=6
a=2

Now we can plug our a value into the other equations.

B=2+1
B=3

C=3+1
C=4

Therefore, there are 2 rocks in one box, three in another, and 4 in the last.

I hope this helps!
4 0
3 years ago
Suppose that G(X) = F(x+ 9). Which statement best compares the graph of
coldgirl [10]

Answer: Option D

Step-by-step explanation:

By definition if we have a function F (x) and perform a transformation of the form

G (x) = F (x + c)

Then it is true that:

If c is negative the graph of G(x) will be equal to the graph of F(x) displaced horizontally c units to the right

If c is positive, the graph of G(x) will be equal to the graph of F(x) displaced horizontally c units to the left.

Note that in this case the transformation is:

G (x) = F (x + 9)

Then c = 9 and c> 0

Therefore the graph of G(x) will be equal to the graph of F(x) displaced horizontally <em>9 units to the left</em>

The answer is the option D.

5 0
3 years ago
Read 2 more answers
The variable Z is directly proportional to X. When X is 6, Z has the value 18. What is the value of Z when X=10
const2013 [10]
Make a proportion
6/18 = 10/z
Cross multiply
180 = 6z
180/6 = z
Z = 30
7 0
3 years ago
4(x + 1) − 7x = −3 (x − 1) + 1
grigory [225]
The apartment complex has 20 apartment per buildings 4 apartment are 3 bedroom apartment, 7 are 2 bedroom unit,and 9 apartment are 1 bedroom units.if the apartment complex builds 50 buildings how many 3 bedroom units would they have?
7 0
3 years ago
3. The number of children in 10 families of a locality are:
Anastaziya [24]

Answer:

Step-by-step explanation:

Mean = 2+4+3+4+2+0+3+5+1+6/ 10

= 30/10 = 3

6 0
3 years ago
Read 2 more answers
Other questions:
  • A committee consists of 8 men and 11 women. In how many ways can a subcommittee of 3 men and 5 women be chosen?
    15·1 answer
  • Graph the equation on the coordinate plane.<br> y = 2x + 1
    10·1 answer
  • Explain why you can rewrite a division problem by moving the decimal points in the divisor and dividend the same number of decim
    9·1 answer
  • The Melt in Your Mouth Chocolate Factory opens its doors each day at 7:00 am sharp. Sally arrived at the factory 10 minutes befo
    7·1 answer
  • What are the first two terms of the sequence defined recursively by the formula ^an=(^an-1)^2, when ^a4=1604?
    5·2 answers
  • A box has a height of 5 cm a Length<br>os 6 cm and a width of 2 cm<br>What is its volumes​
    8·1 answer
  • Someone help me pls!!
    13·1 answer
  • Help pls and just come for the points
    12·2 answers
  • Which polynomials are in standard form?
    13·1 answer
  • An online shopping club has 4,800 members when it charges $9 per month for membership. For each $1 monthly
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!