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
iris [78.8K]
3 years ago
15

PLS HELP ASAP WILL GIVE YOU BRAINLEST

Mathematics
1 answer:
alex41 [277]3 years ago
6 0

Answer:

Step-by-step explanation:

You might be interested in
You are jumping off the 12 foot diving board at the municipal pool. You bounce up at 6 feet per second and drop to the water you
NARA [144]

Answer:

When do you hit the water?

1.075 seconds after you jump.

What is your maximum height?

the maximum height is 12.5626 ft

Step-by-step explanation:

The equation:

h(t) = -16*t^2 + 6*t + 12

Is the height as a function of time.

We know that the initial height is the height when t = 0s

h(0s) = 12

and we know that the diving board is 12 foot tall.

Then the zero in h(t)

h(t) = 0

Represents the surface of the water.

When do you hit the water?

Here we just need to find the value of t such that:

h(t) = 0 = -16*t^2 + 6*t + 12

Using the Bhaskara's formula, we get:

t = \frac{-6 \pm \sqrt{6^2 - 4*(-16)*12} }{2*(-16)} = \frac{-6 \pm 28.4}{-32}

Then we have two solutions, and we only care for the positive solution (because the negative time happens before the jump, so that solution can be discarded)

The positive solution is:

t = (-6 - 28.4)/-32 = 1.075

So you hit the water 1.075 seconds after you jump.

What is your maximum height?

The height equation is a quadratic equation with a negative leading coefficient, then the maximum of this parabola is at the vertex.

We know that the vertex of a general quadratic:

a*x^2 + b*x + c

is at

x = -b/2a

Then in the case of our equation:

h(t) = -16*t^2 + 6*t + 12

The vertex is at:

t = -6/(2*-16) = 6/32 = 0.1875

Evaluating the height equation in that time will give us the maximum height, which is:

h(0.1875) =  -16*(0.1875 )^2 + 6*(0.1875) + 12 = 12.5626

And the height is in feet, then the maximum height is 12.5626 ft

6 0
3 years ago
Please answer and show work.
andrew11 [14]
Simplifying
9 + -2x = 35

Solving
9 + -2x = 35

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-9' to each side of the equation.
9 + -9 + -2x = 35 + -9

Combine like terms: 9 + -9 = 0
0 + -2x = 35 + -9
-2x = 35 + -9

Combine like terms: 35 + -9 = 26
-2x = 26

Divide each side by '-2'.
x = -13

Simplifying
x = -13
4 0
3 years ago
What is the length of the hypotenuse? If necessary, round to the nearest tenth.
artcher [175]

Answer:

17 kilometers

Step-by-step explanation:

The pythagorean theorm is a^2 + b^2 = c^2

In this problem we can call 8 km a and 15 km b.

Plug 8 and 15 into the pythagorean theorm to get 8^2 + 15^2 = c^2

This will give you 289=c^2

Take the square root of both sides to get c=17

Hope this helps!

6 0
2 years ago
Read 2 more answers
How would you compare 15 counters with 8 counters in a sentence? With how many will each child have?
Phantasy [73]
 since division is separating into equal parts but since there are 15 counters and 8 counters there the same so you can compare them and the final equation would be 15+8/x. let x= the number of kids 
8 0
3 years ago
If dane walks 20 feet then walks beack 80. how far did he travel?
r-ruslan [8.4K]

Answer:

-20

Step-by-step explanation:

-20

4 0
2 years ago
Other questions:
  • Maya reads 1/8 of a newspaper in 1/20
    12·1 answer
  • -4(3x – 7) = 52 for x.
    15·1 answer
  • George bought 30 packs of football cards.there were 14 cards in each pack. How many cards did George buy?
    12·2 answers
  • What is the middle term of the production of (x-4)(x-3)
    11·1 answer
  • What is the negative coterminal angle of 165 degrees ?
    9·2 answers
  • What is the answer to this problem
    12·1 answer
  • (Find the product of 5.4 and 2.4
    8·1 answer
  • Which is greater, 24 or - 25
    13·2 answers
  • The perimeter of the rectangle below is 64 units. Find the length of side PQ. Write your answer without variables
    8·1 answer
  • QUESTION 4<br> Round the following number to two significant digits: 137,426.9
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!