Answer:
It should be (2,9).
Step-by-step explanation:
If you rotate it counter clockwise, the x value and y value switch numbers and they will both become postive.
The surface of the triangle count formula
A = b*h*1/2
A - area
b - base
c - height
The 1st triangle
A₁ = b₁*h = 6in * 8in *1/2= 24in²
The 2nd triangle
A₂ b₂*h = 10in * 8in*1/2 = 40in²
The total area of the two triangles is 24in² + 40in² = 64 square inches
Answer:
C. 6
Step-by-step explanation:
It is given that the rectangles in the figure are similar.
<em>Thus, the corresponding sides of the two rectangles will be equal.</em>
So, we get,

i.e. 
i.e. 
i.e. 
i.e. x = 6.
Hence, the value of x is 6.
Answer: Option A

Step-by-step explanation:
In the graph we have a piecewise function composed of a parabola and a line.
The parabola has the vertex in the point (0, 2) and cuts the y-axis in y = 2.
The equation of this parabola is
Then we have an equation line
Note that the interval in which the parabola is defined is from -∞ to x = 1. Note that the parabola does not include the point x = 1 because it is marked with an empty circle " о ."
(this is
)
Then the equation of the line goes from x = 1 to ∞ . In this case, the line includes x = 1 because the point at the end of the line is represented by a full circle
.
(this is
)
Then the function is:

Answer:
An even function is:
f(x) = 7
Step-by-step explanation:
An even function accomplish the following condition:
f(x)=f(-x) (1)
Applying (1), we have:
- f(x)= (x-1)^2
f(-x)
(-x-1)^2 - f(x)= 8x
f(-x)
-8x - f(x)= x^2 -x
f(-x)
(-x)^2 +x
The last one is even.