A line goes through the point (6,-2) and has a slope of
1 answer:
You might be interested in
Answer:
Step-by-step explanation:
In order to factor this expression, our goal is to write the expression in a way that we can factor out a term.
With the expression , we need to note an exponent rule.
<u><em></em></u>
We can use this to get each term of this expression to have a term of so we can factor it out.
Let's look at each term and get it so that we can factor out an x term.
<em>(Commutative Property)</em>
<em>(Since </em>
)
<em>(Since </em>
)
<em>(Since </em>
<em />
With this, our equation becomes .
We now can factor out the common term x.
<u><em></em></u>
From here, we can now factor
- Rearrange the equation:
- Factor out
from
which comes out to be
- Factor out
from
which comes out to be
- We now have
- Factor out the common term,
, which comes out to be
- Factor
into
- We now have
, which is simplified to
Since we have just factored and factored x out of
in the first couple of steps, we need to have it as a factorization of x.
Hope this helped!
Answer:
Center = (2, 3) radius =
<u>Step-by-step explanation:</u>
When both the x² and y² values are equal and positive, the shape is a circle. Complete the square to put the equation in format:
(x-h)² + (y-k)² = r² where
- (h, k) is the vertex
- r is the radius
1) Group the x's and y's together and move the number to the right side
4x² - 16x + 4y² - 24y = -51
2) Factor out the 4 from the x² and y²
4(x² - 4x ) + 4(y² - 6y ) = -51
3) Complete the square (divide the x and y value by 2 and square it)
= 4(x - 2)² + 4(y - 3)² = -51 + 4(-2)² + 4(-3)²
= 4(x - 2)² + 4(y - 3)² = -51 + 4(4) + 4(9)
= 4(x - 2)² + 4(y - 3)² = -51 + 16 + 36
= 4(x - 2)² + 4(y - 3)² = 1
4) Divide both sides by 4
- (h, k) = (2, 3)