Answer:
see explanation
Step-by-step explanation:
Given
f(x) = x² - 6x + 8 and g(x) = x + 2
To solve f(x) = g(x), equate the right sides, that is
x² - 6x + 8 = x + 2 ← subtract x + 2 from both sides
x² - 7x + 6 = 0 ← in standard form
(x - 1)(x - 6) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 1 = 0 ⇒ x = 1
x - 6 = 0 ⇒ x = 6
These solutions can be verified from the tables, that is
f(x) = g(x) = 3 ← when x = 1
f(x) = g(x) = 8 ← when x = 6
That’s a very good question but i don’t know the answer however it may be animals
Answer:
Option C.
Step-by-step explanation:
Note : In the given points one point is (8,-2) instead of (-6,-2).
The standard form of a circle is
where, (h,k) is center of circle and r is radius.
It is given that center of the circle is (-1,-2). So,
...(1)
It is given that the circle passing through the point (8,-2),(-1,5),(6,-2),(-1,-9).
Substitute x=6 and y=-2 in equation (1).
Substitute 
in equation (1).
Therefore, the correct option is C.
<span><span><span><span><span>6x</span>y</span>−<span><span>2x</span>y</span></span>−<span><span>x2</span><span>y2</span></span></span>+<span><span>10x</span>y</span></span><span>=<span><span><span><span><span><span><span>6x</span>y</span>+</span>−<span><span>2x</span>y</span></span>+</span>−<span><span>x2</span><span>y2</span></span></span>+<span><span>10x</span>y</span></span></span><span>=<span><span><span><span><span>6x</span>y</span>+<span>−<span><span>2x</span>y</span></span></span>+<span>−<span><span>x2</span><span>y2</span></span></span></span>+<span><span>10x</span>y</span></span></span><span>=<span><span>(<span>−<span><span>x2</span><span>y2</span></span></span>)</span>+<span>(<span><span><span><span>6x</span>y</span>+<span>−<span><span>2x</span>y</span></span></span>+<span><span>10x</span>y</span></span>)</span></span></span><span>=<span><span>−<span><span>x2</span><span>y2</span></span></span>+<span><span>14x</span>y
</span></span></span>=−x2y2+14xy
The graph of a linear function is a straight line. f(0) = -5 means that (0,-5) is a point on the line. Similarly, (-5,-6) is also a point on the line. [ Slope of line = m = [-6-(-5)]/[-5-0] = -1/(-5) = 1/5 Using the point-slope form, an equation of the line is: y - (-5) = (1/5)(x - 0) So, y = (1/5)x - 5 ]
