Answer:
x^2 - 2x + 5 = 0.
Step-by-step explanation:
The (0, 5) is the point where the parabola passes through the y axis (where x = 0), so we can write the equation as
y = ax^2 + bx + 5 where a and b are constants to be found.
Also, since (1, 4) and (2, 5) are points on the curve, substituting, we have the system:
a(1)^2 + 1b + 5 = 4
a(2)^2 + 2b + 5 = 5
Simplify these 2 equations:
a + b = -1 .................(1)
4a + 2b = 0..................(2)
Multiply the first equation by -2:
-2a - 2b = 2 .................(3)
Add (2) + (3):
2a = 2
a = 1.
Substitute a = 1 into (2):-
4*1 + 2b = 0
2b = -4
b = -2.
Answer:
6.569
Step-by-step explanation:
Difference is subtraction.
10.22-3.651=6.569
To solve this problem, we are going to use a scientific/mathematics strategy called Dimensional Analysis.
40 miles / 1 hour * 5280 feet / 1 mile = 211200 feet / 1 hour
211200 feet / 1 hour * 1 hour / 60 minutes = 3520 feet/ 1 minute
3520 feet / 1 minute * 1 minute / 60 seconds = approximately 59 feet / 1 second
Jackrabbits travel approximately 59 feet per second, when rounded to the nearest whole number.
All the measures in a triangle are equal to 180 degrees.
Let the unknown angle= x.
40+89+x= 180
Combine like terms.
129+x= 180
Subtract 129 from both sides.
x= 51
The angle is equal to 51.
I hope this helps!
~kaikers
