Answer:
Step-by-step explanation:
Given
Required
Find x
If i.e. If AB is parallel to CD, then
Substitute values for ABC and BCD
Collect Like Terms
Multiply through by
Which is the correct answer?
1 answer:
You might be interested in
Answer:
See Explanation.
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
- Left to Right
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtract Property of Equality
<u>Algebra I</u>
Slope Formula:
Slope-Intercept Form: y = mx + b
- m - slope
- b - y-intercept
Linear Regression
Step-by-step explanation:
We can draw any best line of fit, as long as it is <em>reasonable</em> around the points that are given.
We can just take 2 points and use slope formula and Slope-Intercept Form to find the equation for the best line of fit.
Using Linear Regression, we can determine the <em>true</em> best line of fit using graphing utilities.
<u>Finding the best line of fit</u>
<em>Define 2 points</em>
Point (21600, 205)
Point (27000, 290)
<em>Find slope m</em>
- Substitute in point [SF]:
- [Fraction] Subtract:
- [Fraction] Simplify:
<em>Find equation</em>
- Define equation [SIF]:
- Substitute in point:
- Multiply:
- Isolate y-intercept <em>b</em>:
- Rewrite:
- Redefine equation:
Slope-Intercept Form tells us that our slope <em>m</em> = and our y-intercept
.
Setting this as function f(x), we can see from the graph that it is extremely accurate (Blue line).
<u>Using Linear Regression</u>
Depending on the graphing calc you have, the steps may be different.
Using a graphing calc, we can use statistics and determine the <em>best</em> best line of fit.
When we determine the values, we should see that our equation would be g(x) (Green Line).
<em>Credit to Lauren for collabing w/ me in graphing.</em>
Answer:
(x + 7)^2 + (y + 1)^2 = 25.
Step-by-step explanation:
The center of a circle is easy to set up. According to the formula below, the formula for the circle will be (x - a)^2 + (y - b)^2 = r^2.
In this case, a = -7 and b = -1, so we have...
(x - (-7))^2 + (y - (-1))^2 = r^2
(x + 7)^2 + (y + 1)^2 = r^2
To get the radius, we need to find the distance between the center and the point on the circle. The distance formula is d = sqrt((x2 - x1)^2 + (y2 - y1)^2).
In this case, x2 = -4, x1 = -7, y2 = 3, and y1 = -1.
sqrt((-4 - -7)^2 + (3 - -1)^2) = sqrt((-4 + 7)^2 + (3 + 1)^2) = sqrt((3)^2 + (4)^2) = sqrt(9 + 16) = sqrt(25) = plus or minus 5.
Since distance can only be positive, the distance is 5 units, meaning that the radius is 5 units.
5^2 = 25
So, your equation should be (x + 7)^2 + (y + 1)^2 = 25.
Hope this helps!
