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gladu [14]
3 years ago
10

Solve the following system for all solutions: (x - 1)^2 + (y + 3)^2 = 13 x + y = -3​

Mathematics
1 answer:
Mamont248 [21]3 years ago
4 0

Answer:

  • ( -4, -1 ) and ( -9, - 6)

Step-by-step explanation:

<h3>Given</h3>
  • (x - 1)^2 + (y + 3)^2 = 13
  • x + y = -3​
<h3>Solution</h3>

<u>From the second equation we get</u>

  • x = - y - 3

<u>Substituting x in the first equation</u>

  • (- y - 3 - 1)^2 + (y + 3)^2 = 13
  • (-y - 4)^2 + (y + 3)^2 = 13
  • (y+4)^2 + (y+3)^2 = 13
  • y^2 + 8y + 16 + y^2 + 6y + 9 = 13
  • 2y^2 + 14y + 12 = 0
  • y^2 +7y +6 = 0
  • (y+1)(y+6) = 0
  • y = - 1
  • y = - 6

<u>Then</u>

  • x = -4
  • x = - 9

<u>Answer</u>

  • ( -4, -1 ) and ( -9, - 6)
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3 0
3 years ago
Read 2 more answers
How do I solve for the fourth term in this sequence?
tatiyna

Answer:

<h2>d(4) = 64</h2>

Step-by-step explanation:

d(1) = 13

d(n) = d(n - 1) + 17

where

n is the nth term

To find the 4th term we must first find the second term use it to find the 3rd term and use the 3rd term to find the 4th term

So we have

<u>For the 2nd term</u>

That's d(2)

We have

d(2) = d(2-1) + 17

d(2) = d(1) + 17

But d(1) = 13

d(2) = 13 + 17 = 30

<u>For the 3rd term d(3)</u>

That's

d(3) = d(3 - 1) + 17

d(3) = d(2) + 17

d(3) = 30 + 17 = 47

<u>For the 4th term that's d(4)</u>

We have

d(4) = d(4 - 1) + 17

d(4) = d(3) + 17

d(4) = 47 + 17

We have the final answer as

<h3>d(4) = 64</h3>

Hope this helps you

3 0
3 years ago
Evaluate the expression for the given values.<br><br> 2x + (3y + z2)<br> X = 2, y = 3, z = 4
bazaltina [42]

Answer:

29

Step-by-step explanation:

2(2)+(3(3)+(4²))

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29

pls if this was h helpful pls tag brainiest

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2 years ago
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laiz [17]

<u>Answer:</u>

12.50 \space\ h = 2500.75

<u>Step-by-step explanation:</u>

We know from the question that the student earned $12.50 <em>per hour</em>.

Using this information, we can say that if the student worked for <em>h </em>hours, they would make a total of 12.50 × <em>h </em>dollars.

We also know that the total money they earned is $2500.75.

∴ Therefore, we can set up the following equation:

\boxed {12.50 \times h = 2500.75}

From here, if we want to, we can find the number of hours worked by simply making <em>h</em> the subject of the equation and evaluating:

<em>h </em>=<em> </em>\frac{2500.75}{12.50}

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5 0
2 years ago
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Hi I need help on this!!
MA_775_DIABLO [31]

Answer:

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