Answer:
C. Both f(x) and its inverse function intersect at point (2, 2).
Step-by-step explanation:
First of all, let's begin defining f(x) = y.
Since the linear function f(x) intersects at
• 6 on the y-axis; and
• 3 on the x-axis;
we can deduce the following equation:
6x + 3y = 6(3)
6x + 3y = 18
3y = -6x + 18
y = -6x/3 + 18/3
y = -2x + 6
f(x) = -2x + 6
Then, we'd want to find the inverse of f(x), which is f`¹(x).
f(x) = -2x + 6
y = -2x + 6
Interchange the variable y to x and vice versa.
x = -2y + 6
2y = -x + 6
y = (-1/2)x + 3
f`¹(x) = (-1/2)x + 3
Since both f(x) and its inverse function are equal to y, set them both as equal.
f(x) = f`¹(x)
-2x + 6 = (-1/2)x + 3
-2x + (1/2)x = 3 - 6
(-3/2)x = -3
x = 2
Substitute x = 2 into y = -2x + 6.
y = -2(2) + 6
y = -4 + 6
y = 2
Now that we know x = 2 and y = 2, then the intersection point of (x, y) must be (2, 2).
I hope this helps! Sorry if my English didn't really help with giving a clearer explanation.
The base of the triangle ABC is 12 units.
Step-by-step explanation:
Step 1; First we need to identify which side is the base of the triangle. In this given triangle side CB is the base. So we plot points C and B on the graph. Coordinates for C are (-4, -3) and for B are (8, -3). We need to find the distance between the 2 edges of the triangle.
Step 2; To find the distance of CB, we use the formula;
Distance = √ (x2 - x1)² + (y2 - y1)².
Distance between C (-4, -3) and B (8, -3) where C is (x1, y1) and B is (x2, y2).
Distance = √(8 - (-4))² + (-3 -(-3))² = √12² + 0² = √12² = 12 units.
Similarly, triangle ABC's height equals 10 units.
How big is the lobby? Just multiple 3 by the feet of the lobby
Answer:
given (0,0) and (12,y1)
the distance formula states taht
the distance between the points (x1,y1) and (x2,y2) is
D=
given
D=13
x1=0, y1=0
x2=12
square both sides
minus 144 both sides
sqrt both sides
+/-5=y2
the points are
(12,5) and (12,-5)
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
