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xz_007 [3.2K]
3 years ago
10

Find the solution(s) of the system of equations. x2 + y2 = 18 y = x + 6

Mathematics
1 answer:
Scorpion4ik [409]3 years ago
3 0

Answer:

(-3,3)

Step-by-step explanation:

x² + y² = 18

y = x + 6

(Assuming you mean x and y to the power of 2. Use the ^ symbol to tell that is it an exponent like this: x^2)

First, substitute the y in the first equation

x² + (x + 6)² = 18

FOIL

x² + x² + 12x + 36 = 18

2x² + 12x + 36 = 18

Subtract 18 from both sides

2x² + 12x + 36 = 18

               - 18   - 18

2x² + 12x + 18 = 0

Divide both sides by 2

(2x² + 12x + 18)/2 = 0/2

x² + 6x + 9 = 0

Factor

(x + 3)(x + 3) = 0

x has to be -3 for the equation to be 0, so the x = -3

Plug the new x into one of the original equations; we'll use the second one

y = -3 + 6

y = 3

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bazaltina [42]
2(15x + 8) I hope this helps you
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3 years ago
Given: KLMN is a trapezoid m∠K = 90°, m∠N = 45° LK = LM = 10 Find: KN, Area of KLMN
Ilya [14]
Let KLMN be a trapezoid (see added picture). From the point M put down the trapezoid height MP, then quadrilateral KLMP is square and KP=MP=10.
A triangle MPN is right and <span>isosceles, because
</span>m∠N=45^{0}, m∠P=90^{0}, so m∠M=180^{0}-45^{0}-90^{0}=45^{0}.Then PN=MP=10.
The ttapezoid side KN consists of two parts KP and PN, each of them is equal to 10, then KN=20 units.
Area of KLMN is egual to A= \frac{LM+KN}{2} *MP= \frac{10+20}{2} *10=150 sq. units.


5 0
3 years ago
Please Help Fast!!!!!!!!
statuscvo [17]
5/3

= 1 2/3 or 1.667

Hope this helps!
5 0
3 years ago
Consider "Never Retreat" as a whole.
insens350 [35]

Answer: 3+3=9

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2 years ago
You are choosing between two health clubs. Club A offers membership for a fee of $28 plus a monthly fee of $24. Club B offers me
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Answer:

The cost will be the same after 1 month

Step-by-step explanation:

Step 1: set up the equation

club A= 28x+24  club B= 35x+17

club A=club B: 28x+24=35x+17

Step 2: Get rid of the smallest X

28x+24=35x+17

-28         -28

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Step 3: Get rid of the constant next to the variable to isolate the variable

24=7x+17

-17       -17  

7=7x

Step 4: Inverse operation to remove variable

7÷7x=7x÷7x

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I hope this helped, im not too good at explaining but im positive the solution is correct.

3 0
3 years ago
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