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Vikki [24]
3 years ago
13

Solve the system of equations using multiplication.

Mathematics
1 answer:
salantis [7]3 years ago
6 0

Answer:

B. (-3, -2)

Step-by-step explanation:

Multiply the first equation by -1/3 and add the result to the second equation.

-1/3(3x -3y) +(5x -y) = -1/3(-3) +-13

4x = -12 . . . . simplify

x = -3 . . . . . . divide by 4

Substituting this into -1/3 times the first equation, we get ...

-(-3) +y = 1

y = -2 . . . . . . . subtract 3

The solution is (x, y) = (-3, -2).

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Find the shorter base of a trapezoid if the trapezoid's area is 52, its altitude is 8, and its longer basis 10.
DiKsa [7]

Answer:

The shorter base is 3

Step-by-step explanation:

a =  \frac{(b1 + b2)}{2}  \times h

52 =  \frac{(10 + b2)}{2}  \times 8

b2 = 3

8 0
3 years ago
Http://prntscr.com/lkz30r<br> What is the value of x?<br> 28<br> 20<br> 36<br> 17
ivolga24 [154]

This is a question that can be solved with Pythagorean Theorem since it is a right triangle. The longest side, 29, is the hypotenuse and the sides 21 and x are the legs. So, the Pythagorean Theorem states,

c^{2}= a^{2}+ b^{2}

Where,

c is the Hypotenuse, a and b are the legs. Putting the respective values gives us,

(29)^{2}= (21)^{2} +x^{2} \\841=441+x^{2} \\400=x^{2} \\20=x

So, 20 is the side length of x.

ANSWER: 20

5 0
3 years ago
Read 2 more answers
Bryan wants to convert a speed of 85 kilometers per hour into the speed in meters per second what is the correct conversion
lara31 [8.8K]

Answer:

23.6111

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Step-by-step explanation:

5 0
3 years ago
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"India is the second most populous country in the world, with a population of over 1 billion people. Although the government has
Leto [7]

Answer:

0.54,0.46,0.43

Step-by-step explanation:

Given that India is the second most populous country in the world, with a population of over 1 billion people.

The pdf of household size say X in India varies from 1 to 8.

The distribution is shown as follows

X       1      2     3        4      5       6        7      8       Total

P  0.02  0.09  0.18  0.25  0.20  0.12  0.08  0.06    1.00

a) the probability that there are less than 5 members in a household in India

=P(X

=P(1 to 4) = 0.54

b.  the probability that there are 5 or more members in a typical household

in India

=P(X\geq 5) = P(5 to 8)\\\\= =0.46

c) the probability that the number of members in a typical household in India is strictly between 2 and 5

=P(2

4 0
3 years ago
Prime numbers less than 50
SVETLANKA909090 [29]

Answer:

2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,83,89,97

Step-by-step explanation:

those are the prime numbers

3 0
2 years ago
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