Since the x value of the vertex is -b/2a in ax^2+bx+c, we have -3 as b and -1 and a, getting -(-3/-1*2)=-(3/2)=-3/2 as the x value of the vertex. To get the y value of the vertex, we plug the x value of the vertex into the function, resulting in -(3/2)^2-3*(-3/2)+6=8.25, making the vertex (-3/2, 8.25)
Answer:
3520
Step-by-step explanation:
V(cylinder) = PR(squared)H
8 squared is 64pi
times 55 is 3520
Answer:
a= 75°
β= 30°
Step-by-step explanation:
α = 75° This is because triangle PQR isosceles. Thus two of its angles are equal and these two are angle α and the one labelled 75.
β = 30° This is because angles in a triangle sum up to 180°. We already know two of these angles. To find β you say 180 - ( 75 × 2)
The answer becomes 30°.
HOPE THIS HELPED
The value of the coin times the number of coins all added up equals the total value of the piggy bank
so
0.05n + 0.10d = 5.60
then they have given us "number of nickels is 8 less than 3 times the dimes"
this translates to
n = 3d - 8
we plug this into our first equation and we get
0.05(3d - 8) + 0.10d = 5.60
now we solve for d
first we can distribute the 0.05
0.15d - 0.40 + 0.10d = 5.60
then we can add the 0.15d and 0.10d together
and get
0.25d - 0.40 = 5.60
then we can add 0.40 to both sides
0.25d = 6.00
then divide both sides by 0.25
d = 6.00 / 0.25 = 24
so we have 24 dimes
then to find nickels, we plug in 24 for d into
n = 3d - 8
and get
n = 3(24) - 8
n = 72 - 8
n = 64
therefore we have
64 nickels
and
24 dimes