Answer:2.58
Step-by-step explanation:
Answer:

Step-by-step explanation:
<h3><u>Given functions:</u></h3>
- f(x) = 4x² - 6
- g(x) = x² - 4x - 8
<h3><u>Solution:</u></h3>
Subtract both functions
(f-g)(x) = 4x² - 6 - (x² - 4x - 8)
(f-g)(x) = 4x² - 6 - x² + 4x - 8
Combine like terms
(f-g)(x) = 4x² - x² + 4x - 6 - 8
(f-g)(x) = 3x² + 4x - 14
![\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Crule%5B225%5D%7B225%7D%7B2%7D)
Answer:
(6,-2.5)
Step-by-step explanation:
The formula for the midpoint between two points is:

Now we substitute
We have than (9, -1) is
and (3, - 4) is 
So:

So, we have:

<h2>(6,-2.5)</h2><h2 />
I can do a graphic explanation if you want.
Answer:
Step-by-step explanation:
<u>Given equation:</u>
- x² + y² + 8x - 4y - 7 = 0
<u>Convert this to standard form by completing the square:</u>
- (x - h)² + (y - k)² = r², where (h, k) - center, r - radius
- x² + 2*4x + 4² + y² - 2*2y + 2² - 16 - 4 - 7 = 0
- (x + 4)² + (y - 2)² - 27 = 0
- (x + 4)² + (y - 2)² = 27
- (x + 4)² + (y - 2)² = (√27)²
The center is (- 4, 2) and the radius is √27
Dog water has the properties of both dog and water