<h2><u>Circle Equations</u></h2>
<h3>Write the equation of a circle in standard form for the following:</h3><h3>x² − 14x + 49 + y² + 4y = 0</h3>
To write the general form of a circle into standard form, use the formula
<em>(x - h)² + (y - k)² = r²</em>
Where,
<u>(h, k)</u> is the center; and
<u>r</u> is the radius
To transform general form to standard form, group the terms that has the same variables. Replace 0 with the constant term.
- x² - 14x + 49 + y² + 4y = 0
- (x² - 14x) + (y² + 4y) = -49
Next step is to complete the square of each equation inside the parentheses.
- (x² - 14x) + (y² + 4y) = -49
- (x² - 14x - 49) + (y² + 4y + 2) = -49 - 49 + 2
Then factor each equation inside the parentheses.
- (x² - 14x - 49) + (y² + 4y + 2) = -49 - 49 + 2
- (x - 7)² + (y + 2)² = √2
- (x - 7)² + (y + 2)² = 4
<u>Answer:</u>
- The standard form of the circle is <u>(x - 7)² + (y + 2)² = 4</u>.
Wxndy~~
Answer:
log₁₀ (10¹²)
Step-by-step explanation:
First you should find the solution to the given equation
x-4=2³
x-4=8
x=8+4=12
Now observe the behavior of logarithmic equations with the base 10
log₁₀ 100=2
log₁₀ 10000=4
log₁₀ 1000000=6
To get the answer to
log₁₀ y=12
Then y=10¹².........................how?
check for the first case
log₁₀ 100=2 this can be written as
10²=100
This means to get y in log₁₀y=12 you should rise the base to power 12
y=10¹²
This is to say that
log₁₀ (10¹²) = 12
Hoi!
The formula for an equation in slope-intercept is y = mx + b
M = Slope
B = Y-intercept
- Slope10.7 - Y-intercept
Answer:
8.5 is the median so yes
Step-by-step explanation:
