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joja [24]
3 years ago
15

Solve x2 + 6x = 7 by completing the square. Which is the solution set of the equation?

Mathematics
1 answer:
blsea [12.9K]3 years ago
4 0
Use the formula b over 2 squared In order to create a new term, solve for x by using this term to complete the square. X= 1, -7
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Consider the following system of equations:
Delicious77 [7]

Answer:

The system has infinitely solutions

Step-by-step explanation:

we have

-\frac{1}{3}x^{2}=-\frac{5}{6}+\frac{1}{3}y^{2}

\frac{1}{3}x^{2}+\frac{1}{3}y^{2}=\frac{5}{6}

Multiply by 3 both sides

x^{2}+y^{2}=\frac{5}{2} ----> equation A

The equation A is a circle centered at origin with radius r=\sqrt{5/2}\ units

and

5y^{2} =\frac{25}{2}-5x^{2}

5x^{2}+5y^{2} =\frac{25}{2}

Divide by 5 both sides

x^{2}+y^{2} =\frac{5}{2} ----> equation B

The equation B is a circle centered at origin with radius r=\sqrt{5/2}\ units

Equation A and Equation B are the same

Therefore

The system has infinitely solutions

7 0
3 years ago
Read 2 more answers
6. what is the parimeter of triangle ABC<br>8. What is the value of x​
nalin [4]

<u>Answer:</u>

Perimeter = 20 units

x = 120°

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

We are given a triangle ABC with known side lengths for all three sides and an inscribed circle.

We are to find the perimeter of triangle ABC and the value of x.

Perimeter of triangle ABC = 2 + 2 + 5 + 5 + 3 + 3 = 20 units

The kite shape at the end is a quadrilateral which has a sum of angles of 360 degrees.

Two out of four angles are right angles and one is 60 so we can find the value of x.

x = 360 - (90 + 90 + 60) = 120°

7 0
3 years ago
Read 2 more answers
If the sum of three consecutive numbers is 36. Find the numbers.
aleksandrvk [35]

Answer:

11, 12, 13

Step-by-step explanation:

x is the first number

(x + 1) is the second number

(x + 2) is the third number

x + x+1 + x+2 = 36

3x + 3 = 36

3x = 36 - 3

3x = 33

x = 11  ← the first number

the second number  = x + 1 = 11 + 1 = 12

the third number = x + 2 = 11 + 2 = 13

8 0
3 years ago
Read 2 more answers
Credit card companies use negative balances to represent when the credit card company owes the customer money and positive balan
miv72 [106K]

Answer:

she owes nothing and the credit card company owes her nothing.

4 0
3 years ago
Read 2 more answers
Round these numbers to the nearest ten and 100 for brainlies 50 points
Dmitrij [34]

Answer:

1. 650, 700 2. 840, 800 3. 370, 400 4. 80, 100 5. 620, 600 6. 250, 200 7. 970, 1,000 8. 330, 300 9. 450, 400 10. 210, 200 11. 100, 100 12. 710, 700

Step-by-step explanation:

4 0
2 years ago
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