1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
sammy [17]
2 years ago
7

A missile is launched from the ground. Its

Mathematics
1 answer:
Softa [21]2 years ago
3 0

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

You might be interested in
-what is the answer<br>​
faust18 [17]

Answer:

answer

Step-by-step explanation:

4 0
2 years ago
If a + b = 15, find the maximum value of a × b​
Otrada [13]

Answer: 56

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Find the volume of cylinder shaped cup. Use 3.14 for pi. Round your answer
IRINA_888 [86]
Volume = pi * radius^2 * height

= 3.14 * 5^2 * 13

= 3.14 * 25 * 13

= 1020.5
5 0
3 years ago
I need help to find the measures and equation pls.
siniylev [52]

Answer:

Equation: 7x + 8x = 180

x = 12

∠CBA = 84

∠CFH = 96

Step-by-step explanation:

We can see that ∠CBA = ∠CFE and ∠CBD = ∠CFH.

We know that the sums of two angles on a straight line are going to be equal to 180.

∠CBA = 7x

∠CFH = 8x

To find the value of x, we must do the following:

7x + 8x = 180

15x = 180

15x/15 = 180/15

x = 12

Now we just substitute to find the angle measures:

∠CBA = 7 · 12 = 84

∠ CFH = 8 · 12 = 96

7 0
1 year ago
Which statements are true about the solution 2 &lt; x - 7 and its graph? Check all that apply.
Mashutka [201]

Answer:

O   x >9

The arrow points left

Step-by-step explanation:

<u><em>Explanation:-</em></u>

<em>Given   2 < x-7</em>

<em>adding '7' on both sides, we get</em>

<em>⇒   2 + 7 < x -7 +7</em>

<em>⇒  9 < x</em>

<em>⇒  x>9</em>

<em>Given inequality   2 < x -7</em>

The arrow points left

<u><em>Final answer</em></u>:-

solution is  x >9

The arrow points left

8 0
3 years ago
Read 2 more answers
Other questions:
  • Rachel jogged along a trail that was 1/4 of a mile long. She logged along the trail 8 times. How many miles did Rachel job
    9·1 answer
  • Simplify : this problem
    15·1 answer
  • the original cost of a piano is 19,100 and it is on a sale for 19% off its original price if the total l cost includes a 5% sale
    15·2 answers
  • A runner wants to be able to run 400m in 50 seconds. what miles per hour speed must have Runner attain to accomplish this goal.
    10·1 answer
  • Rewrite the expression by combining like terms. 3y + 5x2 + 10x + 2x2 + 15x – 3y​
    9·1 answer
  • Which of the following represents the range of the graph below?​
    7·1 answer
  • 15.eye color if 2/3 of the girls in class have Brown eyes and 1/4 of the girls have blue eyes what fraction of the girls in clas
    13·1 answer
  • 1. What is the length of the shortest side if the perimeter of the rectangle is
    10·2 answers
  • Solve the following system of equations. <br> y = 12 - 5x <br> 2x + 3y = 11
    7·1 answer
  • 6+3+4*0<br><br> Sup yall I'm bo.red so ask me anything and i will answer truthfully
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!