Answer:
C) 45-38
Step-by-step explanation:
The reason why this is your answer is because if we subtract, the answer is less than 12.
Thanks!
Move the triangle, 12 units right and 4 units bottom. Then, rotate it by 180 degrees. Transformation would be done!
Hope this helps!
Answer:
a = - 4, b = 5
Step-by-step explanation:
Expand the left side and compare the coefficients of like terms on the right side.
- 3(2x² + ax + b)
= - 6x² - 3ax - 3b
Comparing like terms with - 6x² + 12x - 15
x - term → - 3a = 12 ( divide both sides by - 3 )
a = - 4
constant term → - 3b = - 15 ( divide both sides by - 3 )
b = 5
Answer:
angle 1 = 120 degree
Step-by-step explanation:
75 degree + 45 degree = angle 1 (sum of two opposite interior angles is equal to the exterior angle formed)
120 degree = angle 1
Part A) x-intercepts simply show that when the value of the function is zero. Vertex coordinates show that when the function obtains its maximum value. When x=50, function obtains its maximum value and it's 75. The function is increasing in the interval (0, 50) and decreasing in the interval (50, 100). In regard to the height and distance of the tunnel, these numbers show that decreasing and increasing intervals are symmetric. Each number from the intervals has its own pair in the corresponding interval and they are located in the same distance from the midpoint (50,75)
Part B) In order to calculate the average rate of change, we can first write the function. Using the information about the x-intercept and the vertex coordinates, we find that our function is

.
Plugging 15 and 35 in x, we can find the values of the function, i.e.

and

.
Then, the average change is