Answer:
Here is a pic hope this helps! <3
Step-by-step explanation:
Answer:
First one: 9 units
Second one: |2.5|, |-3|, |3.3|, |-4|
Step-by-step explanation:
9 units not negative 9 since you are counting the distance, not to or from, and the second one is the absolute value with each one, to simplify:
|-3|=3
|2.5|=2.5
|-4|=4
|3.3|=3.3
so the answer to the second one is |2.5|, |-3|, |3.3|, |-4|
The distributive property of multiplication over addition allows you do write that equivalence.
Answer: (2.5 ; 1.5 )
Step-by-step explanation:
- The midpoint of the segment with the points
and 
is calculated by the formula:
<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~~
