First write it in vertex form :-
y= a(x - 2)^2 + 3 where a is some constant.
We can find the value of a by substituting the point (0.0) into the equation:-
0 = a((-2)^2 + 3
4a = -3
a = -3/4
so our equation becomes y = (-3/4)(x - 2)^2 + 3
Answer:
b
Step-by-step explanation:
In y=mx+b form, the b is the y-intercept, therefore where the line crosses the y-axis on the graph. In this graph, the line crosses the y-axis at 100. This means that the "b" value is 100. So far, our equation is y=mx+100.
Next, to find m, you go to any other point on the graph and see how much units (rise over run) you went to get there. I picked the point (2,150), You can see that it took me 1 unit up and 2 units to the right to get to that point, leading us to believe the slope is 1/2.
Finally, put everything together and you get the answer of y=1/2x+100 (the letters do not matter) :)
The perimeter of a shape is the sum of the lengths of its sides.
So, to find the perimeter of this quadrilateral, all we have to do is add the side lengths and simplify.
(x² - 6) + (2x + 5) + (x² - 3x) + (4x² + 2x)
x² + x² + 4x² + (-3x) + 2x + 2x + (-6) + 5
6x² + (-3x) + 2x + 2x + (-6) + 5
6x² + x + (-6) + 5
6x² + x + (-1)
6x² + x - 1
So, the perimeter of the quadrilateral is the quantity (6x² + x - 1).
Hope this helps!
Answer:
The answer to your question is v = 13.5 m/s
Step-by-step explanation:
The find the initial velocity, just substitute the values given in the formula and simplify.
v = u + at
u = initial velocity
a= acceleration
t = time
v = 3 + (1.5)(7)
v = 3 + 10.7
v = 13.5 m/s
Answer:
300 calories
Step-by-step explanation:
he burns 12 calories each lap so you need to know how many laps he ran
which means you need to find the circumference of the track, whose formula is 2πr; remember, radius is half the diameter.
C = 2π75
C = 150π
C ≈ 471
Now divide the total number of feet he ran (11,775) by the circumference to arrive at the number of laps.
11775 ÷ 471 = 25 laps
25 x 12 = 300 calories burned in total
