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
IceJOKER [234]
3 years ago
7

Which of the following sets of numbers could represent the three sides of a right triangle?

Mathematics
1 answer:
NARA [144]3 years ago
7 0

Answer:

16,30.34

Step-by-step explanation:

You might be interested in
Examine this system of equations. Which numbers can be multiplied by each equation so that when the two equations are added toge
WARRIOR [948]

You can use the fact that when coefficient of x variable are of equal magnitude but opposite sign, then adding them will make the coefficient 0, thus, making the x variable eliminated.

The numbers that can be multiplied by each equation so that when the two equations are added together, the x term is eliminated is given by

Option A: –10 times the first equation and 3 times the second equation

<h3>How does elimination works?</h3>

This method is actually called method of elimination to solve a system of linear equations.

We make one specific variable's coefficients of equal magnitude so that we can subtract or add the equations and eliminate that variable to make it easy to get the value of the other variable which will then help in getting the value of the first variable (if working in dual variable system).

If we have equations:

a_1x + b_1y  = c_1\\a_2x + b_2y = c_2

then, if we want to eliminate variable x, then we have to multiply equation 1 with

- \dfrac{a_2}{a_1}

which will make coefficient of x in first equation as

a_1 \times - \dfrac{a_2}{a_1} = -a_1

Then adding both equation will eliminate the variable x.

We could've skipped that -ve sign and at then end, instead of adding, we could've subtracted the equations.

<h3>What is magnitude and sign?</h3>

5 has 5 as magnitude, and sign isn't present which means its of positive (+) sign.

-5 has 5 as magnitude and sign is negative(-).

For this case, we're multiplying both the equations but the core concept or aim is same, ie, making the coefficients of equal magnitude but with opposite sign.

<h3>Using the above facts to get the numbers to multiply the equations of the given system</h3>

The given system of equations is

\dfrac{1}{5}x + \dfrac{3}{4}y = 9\\\\\dfrac{2}{3}x - \dfrac{5}{6}y = 8

Let two numbers be p,and q who multiply equation first and second respectively to make coefficient of x of equal magnitude but opposite sign.

We have

\text{Coefficient of x in first equation}= a_1 = \dfrac{1}{5}\\\\\text{Coefficient of x in second equation} = a_2 = \dfrac{2}{3}

Multiplying with p and q will give us

p\times a_1 = \dfrac{p}{5}\\\\q \times a_2 = \dfrac{2q}{3}

We need both resultant coefficient to add up to 0, or

p/5 + 2q/3 = 0\\p = -10q/3\\q = -3p/10

Now in options, we see first equation is either getting multiplied with -10, 10, or -3,3

If we put q = 3, we get p =  -10q/3=  -10

If we put q = -3, we get p = 10

If we put q = 5, we get p = -50/3

Thus only first choice is matching the correct pairs.

Thus,

The numbers that can be multiplied by each equation so that when the two equations are added together, the x term is eliminated is given by

Option A: –10 times the first equation and 3 times the second equation

Learn more about method of elimination here:

brainly.com/question/20385690

7 0
2 years ago
Read 2 more answers
a committee is to consist of two members. if there are seven people available to serve on the committee, how many different comm
Doss [256]

Answer:

66

Step-by-step explanation:

Use the combination formula.

8 0
3 years ago
Read 2 more answers
Help plsss<br> Find Perimeter
Keith_Richards [23]

Answer:

Step-by-step explanation:

10+10=20

8+8 = 16

36 is perimeter of the rectangle    

diameter of half circle is 8

formula for circumference of a circle is r π  = 8 x 3.14

8 x 3.14 = 25.12 but your not done yet its a half circle so divide by 2

25.12/2 = 12.56

12.56 + 36 = 48.56 is final answer

give me brainliest

6 0
3 years ago
The ratio of 4:8 is equivalent to x:6, what is the value of x?
Dimas [21]

Answer:

x = 3

Step-by-step explanation:

Given

4 : 8 = x : 6, expressing in ratio form, that is

\frac{4}{8} = \frac{x}{6} ( cross-  multiply )

8x = 24 ( divide both sides by 8 )

x = 3

Thus 4 : 8 = 3 : 6

6 0
3 years ago
Read 2 more answers
Helppp? dont guess. pleaseeeee
N76 [4]

Answer:

12/100

Step-by-step explanation:

7 0
2 years ago
Other questions:
  • What is the value of x? 12 25 38 52
    9·2 answers
  • Find the missing base (b1) of the trapezoid. Dimensions are in CM.
    6·1 answer
  • Which sum or difference is equivalent to the following expression? 2x+3 over 4A) x/2 + 3/4B) x/2 - 3/4C) 3x/4 + 3/4D) 8x + 24
    11·1 answer
  • Is this true or false 4/3 = 8/9
    10·1 answer
  • If you add 12 marshmallows to each of 5 bags of marshmallows, and each bag started with the same number of marshmallows, the tot
    5·1 answer
  • Which operation must be used to solve this equation?
    11·1 answer
  • Although errors are likely when takingmeasurements from photographic images, these errors are often very small. Forsharp images
    13·1 answer
  • What is 1/9 as a repeating decimal
    12·2 answers
  • A​ cone-shaped vase has height 29 cm and radius 7 cm. An artist wants to fill the vase with colored sand. The sand comes in smal
    5·1 answer
  • 3+3+67+7+4+6+78+68+22+71+100-100=<br> FIND THE ANSWER
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!