answer:
Step-by-step explanation:
On this question we see that we are given two points on a certain graph that has a maximum point at 57 feet and in 0.76 seconds after it is thrown, we know can say this point is a turning point of a graph of the rock that is thrown as we are told that the function f determines the rocks height above the road (in feet) in terms of the number of seconds t since the rock was thrown therefore this turning point coordinate can be written as (0.76, 57) as we are told the height represents y and x is represented by time in seconds. We are further given another point on the graph where the height is now 0 feet on the road then at this point its after 3.15 seconds in which the rock is thrown in therefore this coordinate is (3.15,0).
now we know if a rock is thrown it moves in a shape of a parabola which we see this equation is quadratic. Now we will use the turning point equation for a quadratic equation to get a equation for the height which the format is 
, where (p,q) is the turning point. now we substitute the turning point
, now we will substitute the other point on the graph or on the function that we found which is (3.15, 0) then solve for a.
0 = a(3.15 - 0.76)^2 + 57
-57 =a(2.39)^2
-57 = a(5.7121)
-57/5.7121 =a
-9.9788169 = a then we substitute a to get the quadratic equation therefore f is
Volume of a rectangular prism is l*h*w
1.2*3*4.5= 16.2
The answer is 16.2 cubic inches
Answer:
B) 120
Step-by-step explanation:
180 - 60 = 120
Hope that helps!
Answer:
∠C=90°
∠A=67°
∠B=23°
Step-by-step explanation:
For angle C:
Thales' Theorem states that an angle inscribed across a circle's diameter is always a right angle.
Therefore, since AB is the diameter(hypotenuse) then angle C is the right angle. (90°)
For Angle A:
The measure of arc BC= 134 degrees. We can just use a formula for an inscribed triangle. ∠A = 1/2 (mBC)
∠A= (1/2)134
∠A= 77°
For angle B:
All triangle angles all add up to 180. We can just subtract angles A and C from 180°:
∠B = 180-(90+67)
∠B = 23°
2 bags
7 apples
A) Instead of a lets say:
a = 1, 2 , 3
If a =1 then, (you already know there are 2 bags) you have 1 apple in each bag, making total of 2 apples
If a =2 then you are having 2 apples in each bag making total of 4 apples
If a =3, 3 apples in each bag, making total of 6 apples
Conclusion:
2 * 1 = 2
2 * 2 = 4
2 * 3 = 6
See the difference & pattern here
Now lets do with a
2 * a = 2a
B) If a = 6
then, 2*6 = 12
lets continue from a =3
2*4=8
2*5=10
2*6=12
See the pattern again
Tip: Drawing making problem understand better.
