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UkoKoshka [18]
3 years ago
14

If X={1,2,3,4} and Y={1,4,9,16,20} then find all ordered pairs such that Y is square of X.

Mathematics
1 answer:
Alona [7]3 years ago
3 0

Answer:

  (1, 1), (2, 4), (3, 9), (4, 16)

Step-by-step explanation:

You recognize that, of the numbers in Y, 20 is not a square. You also recognize that the remaining values of Y correspond to the squares of the values of X:

  (x, x^2) = {(1, 1), (2, 4), (3, 9), (4, 16)}

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Question 5
navik [9.2K]

Answer:

A. Similar using SAS; ∆ABC ~ ∆DFE

Step-by-step explanation:

m<B of ∆ABC = m<F of ∆DFE

AB corresponds to DF

AB/DF = 12/8 = 3/2

BC corresponds to FE

BC/FE = 24/16 = 3/2

Thus, the ratio of the corresponding sides of both triangles are the same. Therefore, both triangles has two sides that are proportional to each other, and also had an included corresponding angles that are congruent to each other.

By the SAS criterion, we can conclude that both triangles are similar to each other. That is, ∆ABC ~ ∆DFE

7 0
3 years ago
A class has 35 students, of which 16 are male and 19 are female. If 6 of the students are selected at random to form a committee
madreJ [45]

Answer:

The probability of choosing exactly 2 male and 4 female students =\frac{\binom{16}{2}\times \binom{19}{4}}{\binom{35}{6}}

Step-by-step explanation:

We are given that a class has 35 students

Number of male=16

Number of female=19

We have to choose 6 students for committee

We have to find the probability that exactly 2 male students are selected

Probability=P(E)=\frac{number\;of\;favorable\;cases}{total\;number\;of\;cases}

If we have to choose total 6 student in which 2 male and 4 female

Combination formula:

nC_r=\frac{n!}{r!(n-r)!}

Using the formula

The probability of choosing exactly 2 male and 4 female students =\frac{\binom{16}{2}\times \binom{19}{4}}{\binom{35}{6}}

5 0
3 years ago
Solve the equation. 2x+1/3+x-1/4=13/2
inessss [21]

The solution of the equation is x = 71 / 36.

<h3>How to solve an equation with one variable</h3>

Herein we have an equation with several rational constants and only one variable, x, which has to be cleared by using algebra procedures. The procedure is shown below:

2 · x + 1 / 3 + x - 1 / 4 = 13 / 2           Given

2 · x + x = 13 / 2 - 1 / 3 - 1 / 4            Compatibility with addition / Existence of additive inverse / Modulative property

3 · x = 71 / 12                                    Definitions of addition and subtraction / Distributive property

x = 71 / 36                                         Compatibility with multiplication / Existence of multiplicative inverse / Modulative property / Result

The solution of the equation is x = 71 / 36.

To learn more on equations: brainly.com/question/10413253

#SPJ1

4 0
1 year ago
Find the slope of the line.
Ronch [10]

Answer:

1/3 is the slope

Step-by-step explanation:

hope this helps

4 0
3 years ago
A store is offering a 30% discount off the regular price of a jacket them amount off the discount was $21 what was the regular p
SSSSS [86.1K]

Answer:

(21/30)*100 = $70

Step-by-step explanation:

4 0
3 years ago
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