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g100num [7]
3 years ago
11

What is the solution to this system of equations? y = x - 20 x + y = 84

Mathematics
1 answer:
Pepsi [2]3 years ago
3 0

Answer:

(52, 32 )

Step-by-step explanation:

Given the 2 equations

y = x - 20 → (1)

x + y = 84 → (2)

Substitute y = x - 20 into (2)

x + x - 20 = 84, that is

2x - 20 = 84 ( add 20 to both sides )

2x = 104 ( divide both sides by 2 )

x = 52

Substitute x = 52 into (1) for corresponding value of y

y = 52 - 20 = 32

Solution is (52, 32 )

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What is the eighth term of the arithmetic sequence? An=<br> 10n – 14?
Alja [10]

Answer:

A8 = 66 [8th term]

Step-by-step explanation:

Given the explicit arithmetic sequence An = -14 + 10n → -4 + 10(n-1)

To find the 8th term. An nth term is where n is n in the sequence. So substitute 8 for n, and simplify.

So A8 = -4 + 10(8-1) → -4 + 10(7) → -4 + 70 → 70 - 4 → 66.

3 0
3 years ago
The sum of three consecutive even numbers is 54 . find the numbers . ​
victus00 [196]
<h3>Answer :- </h3>

  • Let the three consecutive numbers be x -2 , x and x + 2
  • Their sum = ( x - 2 ) + ( x + 2 ) = 3x
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  • 3x = 54 or x = 54/3
  • x = 18

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5 0
2 years ago
WXY is a right triangle. <br><br> A. True. <br> B. False.
lora16 [44]

Answer:

B. False


Step-by-step explanation:

According to pythagorean theorem, for this to be a right triangle, the sum of  square of the length of the two legs must equal square of the length of the hypotenuse (longest side).

So  (\sqrt{34} )^{2}  should equal  (\sqrt{18} )^{2}+(\sqrt{18} )^{2}

  • <em>We also know that  (\sqrt{a} )^{2}=(\sqrt{a})(\sqrt{a})=a</em>

Hence,  (\sqrt{18} )^{2}+(\sqrt{18} )^{2}=18+18=36  , and

(\sqrt{34} )^{2}=34

They ARE NOT EQUAL, so the triangle is NOT a right triangle.

5 0
3 years ago
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Sedbober [7]

Answer:

this is your answer!!  n=-3

Step-by-step explanation:

hoped i was able to help thank u can i get brainiest pls:)

5 0
3 years ago
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you roll a 6-sided die with faces numbered 1 through 6, and toss a coin what is the probability of rolling a 2 or getting heads
KatRina [158]

Answer:

2/3

Step-by-step explanation:

You have 6 possible outcomes. Getting 1 outcome is 1/6. You have 2 possible outcomes. Getting 1 outcome is 1/2.

Add 1/2 and 1/6 to get 2/3

5 0
3 years ago
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