6.7 inches
c.
8.6 inches
b.
22.5 inches
d.
11.3 inches
y = -|x + 2| - 4
y = -|x - 2] + 4
y = -|x - 2| - 4
Answer:
y = -|x - 2| + 4
Step-by-step explanation:
The parent function of the absolute value function is y = |x|. There is a negative reflection in the x-axis, a horizontal translation of 2 units right, and a vertical translation of 4 units up.
B) Find the slope of the line passing through the pair of points from part A and explain the information the slope gives about the situation.
C) Write an equation that relates the high school's student enrollment, P, to the number of years since 2009, t.
D) Predict the high school's enrollment in 2017.
Answer: A)
B) Slope=200, It means enrollment of 200 students increases each year.
C)
D) 2500 students.
Step-by-step explanation:
Given: The student enrollment of the high school, P, has increased at a constant rate each year, t, since 2009.
At 2009, t=0 and at 2012, t=3 [Since 2012-2009=3 years]
A) In points , the given enrollment numbers will be written as:-
B) The slope of the line passing through is given by:-
It means enrollment of 200 students increases each year.
C) The linear equation with slope= 200 and and the initial number of students (900) is given by
D) At 2017, t=8 [Since 2017-2009=8]
Then
The high school's enrollment in 2017 = 2500 students.
Answer:
s = 35pi units
We can either leave it with pi in the answer or approximate
s= 109.9557429 units
Step-by-step explanation:
Arc length is found by
s = r * theta where r is the radius and theta is given in radians
Changing the angle from 150 degrees to radians by multiplying by pi/180
150 *pi/180 = 5/6 pi
Now we can use the formula
s = 42 * 5/6 pi
s = 35pi
We can either leave it with pi in the answer or approximate
s= 109.9557429 units
Answer:
the perimeter of the square is 60cm
Step-by-step explanation:
because 15 X 4 =60cm