Answer:
A program at a community college can be completed in no fewer than 8 months, but must be completed in less than 11 months.
Step-by-step explanation:
1. The closed dot means the number is equal to and the open dot means the number is less/ greater than
2. The line goes right from the 8 with a closed dot, making x greater than or equal to 8
3. The line goes left from the 11 with an open dot, making x less than ll
4. This means the number must be equal to or greater than 8, and less than 11
Given:
2 parallelograms with an area of 9 1/3 yd²
height of each parallelogram is 1 1/3 yd
Area of parallelogram = base * height
We need to divide the combined area into two to get each parallelogram's base.
9 1/3 = ((9*3)+1)/3 = 28/3
28/3 ÷ 2 = 28/3 * 1/2 = 28/6 yd² or 4 4/6 yd² ⇒ 4 2/3 yd²
Area of each parallelogram is 4 2/3 yd²
4 2/3 yd² = base * 1 1/3 yd
14/3 yd² ÷ 4/3 yd = base
14/3 yd² x 3/4 yd = base
14*3 / 3*4 = base
42 / 12 = base
3 6/12 yd = base
or 3 1/2 yd = base
a) the base of each parallelogram is 3 1/2 yards
b) we can assume that the two parallelograms form a rectangle.
area of a rectangle is length times width.
length is 3 1/2 yds * 2 = 7 yds
width is 3 1/2 yds
Area of rectangle = 7 yds * 3 1/2 yds
Area = 7 yd * 7/2 yd
Area = 7*7 / 2 yd²
Area = 49 / 2 yd²
Area = 24 1/2 yd²
(a) The equation of the tangent line can be written as
.. 3(x +6) -4(y -8) = 0
.. 3x -4y = -50
.. y = (3/4)x +25/2 . . . the equation of the tangent line
(b) The point of tangency will be the intersection of the circle with the perpendicular line through the circle center, y = (-1/5)x. A graphing calculator shows that point to be
.. (9.81, -1.96)
Answer:
-6.64
Step-by-step explanation:
since you need to find the value of x , but all values to one side and have x on the other .. meaning :
2 1/3 -12.3 = 1.5x
now that you have this find the decimal value of 2 1/3
which is 2*3 +1 = 7/3
in decimal form is 2.33333...
now subtract (2.3333.. - 12.3 ) / 1.5
x = -6.6444
to 3 sf = -6.64
