Answer:
Step-by-step explanation:
step 1
we have the points
(-1,0), (-2,0), and (0,2)
Plot the points
using a graphing tool
see the attached figure
The graph of a quadratic function must be a vertical parabola open upward
The vertex is a minimum
The quadratic function in general form is equal to
Substitute the value of x and the value of y of each given ordered pair in the general equation and solve for a,b and c
(0,2)
For x=0, y=2
substitute
(-1,0)
For x=-1, y=0
substitute
----> 
----> equation A
(-2,0)
For x=-2, y=0
substitute
----> equation B
we have the system
----> equation A
----> equation B
substitute equation A in equation B
solve for b
Find the value of a
therefore
The quadratic function in general form is equal to
see the attached figure N 2 to better understand the problem
Answer:
114×10^3
Step-by-step explanation:
57×2000=114,000
Powers of 10 is 10^(#)
114×10^3=114,000
(Trial and Error)
Answer:
Step-by-step explanation:
The diagonal gives you a 30°-60°-90° triangle. The lengths of the sides of a 30°-60°-90° triangle are in the ratio 1:√3:2.
The side opposite the 60° angle is 12 ft.
The side opposite the 30° angle is 12/√3 ft
The side opposite the 90° angle is 2×12/√3 = 24/√3 = 24√3/3 = 8√3 ft
Answer:
0.3
Step-by-step explanation:
Because your suppose to divide.
Answer:
1/6
Step-by-step explanation:
assuming a fair die with 6 sides numbered 1-6,
since there are a total of 6 sides, the total possible numbers landing face up are 1,2,3,4,5,6 (i.e 6 possible outcomes)
we are asked to find the probability when the number 6 lands face up. Realize that there is only one way in which this can happen. hence the number of favorable outcomes is only 1.
Hence the probability of rolling a 6,
= number of favorable outcomes / number of possible outcomes
= 1/6
