Answer:
Please check the explanation.
Step-by-step explanation:
Given the equation
y = 0.5x
when x = 12
y = 0.5 · (12)
y = 6
when x = 0
y = 0.5(0)
y = 0
when x = 8
y = 0.5(8)
y = 4
when x = 12
y = 0.5(12)
y = 6
Thus, the table is completed such as:
x y
0 0
8 4
12 6
Therefore, the ordered pairs that complete the equation y = 0.5 x are:
The graph of the equation is attached below.
Answer: 66 degrees
Explanation:
Check out the attached image below. Figure 1 is the original image without any additions or alterations. Then in figure 2, I extend segment BC to form a line going infinitely in both directions. This line crosses segment DE at point F as shown in the second figure.
Note how angles ABC and DFC are alternate interior angles. Because AB is parallel to DE (given by the arrow markers) this means angle DFC is also 24 degrees
Focus on triangle DFC. This is a right triangle. The 90 degree angle is at C.
So we know that the acute angles x and 24 are complementary. They add to 90. Solve for x
x+24 = 90
x+24-24 = 90-24
x = 66
That is why angle CDE is 66 degrees
Answer:
f(-4) = -12
Step-by-step explanation:
To calculate f(-4), we need to substitute x in our equation above with -4:
Note that 2*(-4) = -8
Answer: f(-4) = -12
