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Vedmedyk [2.9K]
3 years ago
15

If 3x^2+3y^2=42 and xy =-15.Find the value (x-y)^2

Mathematics
1 answer:
Alexxandr [17]3 years ago
4 0

Answer:

44

Step-by-step explanation:

Given, 3x^2 + 3y^2 = 42

=>3(x^2 + y^2) = 42 =>x^2 + y^2 = 42/3= 14

Thus,

= (x - y)^2

= x^2 + y^2 - 2xy

= (x^2 + y^2) - 2xy

= 14 - 2(-15)

= 14 + 30

= 44

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4x-5y+2x+4+6+9y+7x+2​
gtnhenbr [62]

Answer:

13x+4y+12

Step-by-step explanation:

Combine all the like terms & then solve:

(4x+2x+7x)+(-5y+9y)+(4+6+2)

13x+4y+12

4 0
3 years ago
Read 2 more answers
Christine Wong has asked Dave and Mike to help her move into a new apartment on Sunday morning. She has asked them both, in case
lozanna [386]

Answer:

0.3339 = 33.39% probability that both Dave and Mike will show up

Step-by-step explanation:

Probability of independent events:

If A and B are independent events, the probability of both happening at the same time is given by:

P(A \cap B) = P(A)P(B)

In this question:

Event A: Dave shows up.

Event B: Mike shows up.

Christine knows that there is a 47% chance that Dave will not show up and a 37% chance that Mike will not show up.

This means that P(A) = 1 - 0.47 = 0.53, P(B) = 1 - 0.37 = 0.63.

a. What is the probability that both Dave and Mike will show up

P(A \cap B) = P(A)P(B) = 0.53*0.63 = 0.3339

0.3339 = 33.39% probability that both Dave and Mike will show up

8 0
3 years ago
Assume that all triangles have interior angles less than 90°.A surveyor sights on a survey marker that is 132.3m distant. She ne
Vadim26 [7]

Answer:

  85.9 m

Step-by-step explanation:

The law of sines can help figure this.

The remaining angle in the triangle is ...

  180° -75° -68° = 37°

This is the angle opposite the leg from the surveyor to the second marker. Referencing the attachment, we have ...

  b/sin(B) = c/sin(C)

  b = sin(B)·c/sin(C) = 132.3·sin(37°)/sin(68°) ≈ 85.873 . . . meters

The surveyor is about 85.9 meters from the second marker.

4 0
3 years ago
1. Calculate the volume of a cube with the following measurements. Length = 5 cm Height = 10 cm Width = 16 cm 800 cubic cm 400 c
Finger [1]

Answer:

800

Step-by-step explanation:

lol ain't even a cube das a rectangle

3 0
3 years ago
A dial combination lock has dials numbered 0 to 5. The lock is set to an even number. How many different numbers could it be?
Butoxors [25]

The number of combinations will be 6 for even numbers.

<h3>What is the combination?</h3>

The arrangement of the different things or numbers in a number of ways is called the combination.

Given that:-

  • A dial combination lock has dials numbered 0 to 5. The lock is set to an even number. How many different numbers could it be?

The total sample numbers are from 0 to 5 which are 0,1,2,3,4,5.

The even numbers are 0,2,4.

The combinations will be given by:-

C = 3!

C = 3 x 2 x1

C = 6

Therefore the number of combinations will be 6 for even numbers.

To know more about Combinations follow

brainly.com/question/295961

#SPJ1

3 0
2 years ago
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