Answer:
a) x-intercepts are (0,0) and (5,0)
b) 6.25 yards
Step-by-step explanation:
a) x intercepts are:
-x² + 5x = 0
-x(x - 5) = 0
x = 0, 5
b) -x² + 5x
-(x² - 5x)
-[x² - 2(x)(5/2) + (5/2)² - (5/2)²]
-(x - 5/2)² + 25/4
Max height is:
25/4 yards or 6.25 yards
Answer:
44/100 will be reduced to 11/25
Step-by-step explanation:
Answer:
Polygon Y's area is one ninth (1/9) of Polygon X's area
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its areas is equal to the scale factor squared
In this problem
Let
z-----> the scale factor
a-----> Polygon Y's area
b----> Polygon X's area

we have

substitute



therefore
Polygon Y's area is one ninth (1/9) of Polygon X's area
A beach ball is a sphere, so we will need to know how to find the volume of a sphere.
V=4π(r³/3)
We have the diameter, but not the radius. To find the radius, it is half of the diameter.
10÷2=5
Now let's plug it in.
4π(5³/3)
Let's solve.
4π= 12.56
5³= 125
125÷3= 41.67 (repeating 6)
41.67×12.56= 523.3752
523.33 cubic inches is the volume of air contained inside the beach ball. The reason I picked that answer is because we rounded up to 41.67, when there was a repeating 6. So we should expect for the answer to be a couple decimals lower from the answer we got.
Tell me if this helps!!
11a) False. If you simplify 8/30 you get 4/15 not 2/15.
11b) False. If you simplify 6/15, you get 2/5 not 3/5.
11c) true. 5/15 can be simplified to 1/3.