As we go from (-6,6) to (9,1), x increases by 15 and y decreases by 5. Thus, the slope of this line is m = rise / run = -5/15, or m = -1/3.
Point-slope form: y-6 = (-1/3)(x+6), using data from (-6,6).
Slope-intercept form: starting with y = mx + b, substit. -6 for x, 6 for y and -1/3 for m:
6 = (-1/3)(-6) + b, or
6 = 2 + b. Then b = 4, and the equation in slope-intercept form is
y = (-1/3)x + 4.
Well to do this, we need to know the least common multiple (LCM) of 6 and 8. Lets list the factors out.
6, 12, 18, 24, 30, 36
8, 16, 24, 32, 40, 48
As we can see, the least common multiple of 6 and 8 is 24.
Now we know that there are 8 plates per package and 8 goes into 24 3 times, so naturally Shaniya needs 3 packages of plates
Hope this helped!!! :)
20 x 10 = 200
45 - 10 = 35 - 8 = 27
8 x 8 = 64
20 - 8 = 22
22 x 45 = 990
The area of the shape is 990 square feet.
Hope I could help!
Answer:
a. 6
b. 2
c. 1
Step-by-step explanation:
You can tell by looking at the Venn Diagram
Good luck!
