Turn 3x+8y=14.50 in a y equals equation
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Answer:
The height of the missile in the air after 11 seconds is 330 feet.
Step-by-step explanation:
The standard form for the quadratic function f(x)= , which is the function of the parabola model.
We are given two points.
(1, 130) and (2, 240)
Here the first coordinate represents the x (time) and the second coordinate represents h(x), which is height.
Now plug these two coordinates and find the two equations.
(1, 130), the equation is
130 = a.(1)^2 + b(1) + c, where "c" is the initial height. Which is equal to zero.
Therefore, we get
130 = a + b + 0
a + b = 130 -------(1)
Now let's form the second equation using the coordinate (2, 240)
240 =
240 = 4a + 2b -------------(2)
Now let's solve the equations (1) and (2) and find the value of "a" and "b"
a + b = 130 can be written as a = 130 - b
Here we can use the substitution method.
Now plug in a = 130 - b in the second equation, we get
240 = 4(130 - b) + 2b
240 = 520 - 4b + 2b
240 = 520 - 2b
2b = 520 - 240
2b = 280
Dividing both sides by 2, we get
b = 140
Now plug in b = 140 in a = 130 -b and find the value of a
a = 130 - 140
a = -10
Now we got a = -10 and b = 140.
We plug in a = -10 and b = 140 in the general form, we gety
h(x) =
Where c is the initial height, which is equal to 0.
h(x) =
Now plug in x = 11 seconds and find the height.
h(11) = -10(11)^2 + 140 (11)
= -10 (121) + 1540
= - 1210 + 1540
h(11) = 330 feet,
Therefore, the height of the missile in the air after 11 seconds is 330 feet.
See the attached diagram.
In the right triangle, x is opposite the 23.6 degree angle, and the adjacent side is 250 m. This suggests using the tangent ratio.
Finally, to get the height of the tree, add Sarah's height, 1.5 m.
The tree is approximately 110.7m tall.
In the right triangle, x is opposite the 23.6 degree angle, and the adjacent side is 250 m. This suggests using the tangent ratio.
Finally, to get the height of the tree, add Sarah's height, 1.5 m.
The tree is approximately 110.7m tall.