There are 16 possible hands.
Choosing 3 aces from 4 possible is expressed by:
Choosing 1 queen from 4 possible is expressed by:
This gives us 4*4 = 16 possible hands.
B) 7 would make it true, since both 42/54 and 7/9= 0.77 repeating
To find the maximum height you need to find the vertex:(h,k)
Your equation is in vertex form a(x-h)+k and the vertex is (h,k) where k is the maximum height and the h is the distance it went to reach the maximum height.
k=6 so the kangaroo's maximum height is 6 feet.
To find how long is the kangaroo's jump, take a look at the graph. You will notice that the parabola ends at the distance the kangaroo jumped. You will also see that it is the one of the x-intercepts.
-.03(x-14)^2+6=0
-.03(x-14)^2+6-6=0-6
-.03(x-14)^2=-6
-.03/-.03(x-14)=-6/-.03
(x-14)^2=200
[(x-14)^2]^.5=200^.5
x-14=(200)^.5
x-14+14=(200)^.5+14
x≈28.14 feet
The kangaroo jumped a distance of 28.14 feet.
You will notice that the square root of a number gives you two solutions a positive and a negative one. The other solution is -.14, which we know distance is not negative so we do not use that solution. Also, I used the ^.5 instead of using the square root. It is the same.
Answer:
20mph
Step-by-step explanation:
because when you divide the 280 it goes by 20 mph to get to 280 miles by quarters but in 20s
Answer:
48 feet of fence
Step-by-step explanation:
A rectangle has 4 sides, the parallel sides are equal to each other in length.
If Hector used 14 feet of fence on the long side, he used 28 feet in total for both long sides.
If Hector used 10 feet for the width/short side, he used 20 feet in total for both short sides.
Put simply: (14 x 2) + (10 x 2) = 48 feet of fence in total
