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]
3 years ago
7

A missile is launched from the ground. Its

Mathematics
1 answer:
Softa [21]3 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
Dilate the given points distance from the origin (x,y) (0.8x, 0.8y) . The point (-10,-20) becomes & point (15,25) become
dalvyx [7]

Answer: The point (-10,-20) becomes (-8,-16) & point (15,25) becomes (12,20).

Step-by-step explanation:

When a point (x,y) is dilated by a scale factor k from the origin, then the new points become

(kx,ky).

The given rule of dilation : (x,y) →(0.8x, 0.8y)

The first point is (-10,-20), so its image will be

(-10,-20)\to (0.8\times-10,0.8\times-20)=(-8,-16)

So, the point (-10,-20)  becomes (-8,-16).

The second point is (15,25), so its image will be

(15,25)\to (0.8\times15,0.8\times25)=(12,20)

So, the point (15,25) becomes (12,20).

Hence, the point (-10,-20) becomes (-8,-16) & point (15,25) becomes (12,20).

8 0
3 years ago
Figure PQRS is a rectangle.
il63 [147K]

Answer:

4th option.

Step-by-step explanation:

PQ is not congruent to QR, instead it is PQ is perpendicular to QR.

6 0
3 years ago
The perimeter of a rectangular banner is 72 inches. The width of the banner is 1/3 its length. What is the area of the banner?
muminat

Answer:

144

Step-by-step explanation:

If you multiply 4 by 12, then add 100, you get 144 which is the area.

4 0
3 years ago
Help!!! Assignment due in 20 minutes!!
Vitek1552 [10]

Answer:

2

Step-by-step explanation:

The answer would be 2 because it reduces to the same system of equations as the original, which I knew since the first equation was the same and if you divide everything in the second by 2, you'll get 3x-y=8. :)

7 0
3 years ago
Hello I need help thanks!
prisoha [69]

Answer:

$36

Step-by-step explanation:

ok so first you want to find out how much she makes per hour and to do that you would take $27 / 3hrs = $9. So now we know that Kayla makes $9 per hour. If she babysits for 4 hours you would then do $9 x 4hr = $36.

8 0
3 years ago
Other questions:
  • What value represents the horizontal translation from the graph of the parent function f(x) = x2 to the graph of the function
    8·2 answers
  • Which is M = 9pn solved for p
    6·1 answer
  • Use the elimination method to solve the system of equations.
    13·2 answers
  • What is the sign of -567.45 + 567.45? Choose 1 answer: Choose 1 answer: (Choice A) A Positive (Choice B) B Negative (Choice C) C
    5·2 answers
  • I want to know what all the boxes are?
    11·2 answers
  • Which of the following could be points on the unit circle?
    8·1 answer
  • HELP <br><br> What is the equation of the trend line in the scatter plot ?
    5·1 answer
  • Whats the answer can u help me please
    9·1 answer
  • 1/3... of is 12 plzzzzz help me
    14·1 answer
  • The dot product of u ∙ u = 45 what is the length of u?
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!