Answer:
Step-by-step explanation:
The equation of a circle in standard form is
You are given
In order to put the equation in standard from, we need to complete the square. Since there is no y term, the y part is simply y^2, and there is no need to complete the square for y. For x, we do have an x term, so we must complete the square in x.
Start by grouping the x terms and subtracting 45 from both sides.
Now we need to complete the square for x.
The number that completes the square will go in the blank above, and it will also be added to the right side of the equation.
To find the number you need to add to complete the square, take the coefficient of the x term. It is -18. Divide it by 2. You get -9. Now square -9 to get 81. The number that completes the square in x is 81. Now you add it to both sides of the equation.
Answer:
Answer: (7, 20)
Concept:
There are three general ways to solve systems of equations:
- Elimination
- Substitution
- Graphing
Since the question has specific requirements, we are going to use <u>substitution </u>to solve the equations.
Solve:
<u>Given equations</u>
y = 3x - 1
2x + 6 = y
<u>Substitute the y value since both equations has isolated [y]</u>
2x + 6 = 3x - 1
<u>Add 1 on both sides</u>
2x + 6 + 1 = 3x - 1 + 1
2x + 7 = 3x
<u>Subtract 2x on both sides</u>
2x + 7 - 2x = 3x - 2x
<u>Find the value of y</u>
y = 3x - 1
y = 3(7) - 1
y = 21 - 1
Hope this helps!! :)
Please let me know if you have any questions
Answer:
<em>K</em>=<em>2h</em>
<em>k</em><em>=</em><em>0.5h</em>
<em>k</em><em>=</em><em>h</em><em> </em><em>+</em><em> </em><em>1</em>
<em>k</em><em>=</em><em> </em><em>0.5h</em><em> </em><em>+</em><em> </em><em>1</em><em>0</em>
Answer:
4/8 = 1/2
Step-by-step explanation:
hope it thepled u
Answer:
b=74
Step-by-step explanation:
You just gotta use sum of angles in a triangle and sum of angles on a straight line.
