I cut 65 cm off 2 m of rope how much is left

Answers

Answer 1

Answer: 2m = 200cm

200cm-65m= 135cm

:)

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Find the value of c that makes each trinomial a perfect square.

Answers

Answer:

The answer to your question is the letter a.

Step-by-step explanation:

Data

x² + 12x + c

If this trinomial is a perfect square trinomial, the third term must be half the second term divided by the square root of the first term, and to the second power.

-Get half the second term

12x/2 = 6x

-Divide by the square root of the first term

6x/x = 6

-Express the result to the second power

6² = 36

-Write the perfect square trinomial

(x² + 12x + 36) = (x + 6)²

A student was asked to use the formula for the perimeter of a rectangle, P = 2l + 2w, to solve for l. The student came up with an answer, P -2w=2l. What error did The student make? Explain. Then solve for l

Answers

Although the student in the example used in this question did not maketoo many errors, there is a better way of working out this equation sothat you will find the correct answer. In an equation like this whereyou need to get I on it's own, you need to divide everything by two toget -w+P over 2 = l. To get to this point, to start with you would needto do -2w+P=2l instead of P-2w=2l.

Jason jumped of a cliff into the ocean . His height as a function off time could be models as h(t)=16tsquared + 16t + 480 where t is the time in seconds and h is height in feet. How long did it take Jason to reach his maximum height

Answers

I see that you are in high school, and I'm hoping that you've been introduced
to differential calculus, because I don't know how to answer this question without
using it.

We're told that Jason's height above the water is H(t) = -16t² + 16t + 480 .
We can observe many things from this equation:
-- Up is the positive direction; down is the negative direction.
-- The acceleration of gravity is 32 ft/sec² .
-- Jason jumps upward from the cliff, at 16 ft/sec .
-- The cliff is 480-ft above the water.
(This tells us why the question is only concerned with his maximum height,
and then it ends ... 480-ft is one serious cliff, and what happens after the
peak of his arc is too gruesome to contemplate.)

In any case, his vertical velocity is the first derivative, with respect to time,
of his height above the water.

   V = -32 t + 16

At the peak of his arc, where gravity takes over, his velocity changes from
upward to downward, and it's momentarily zero.

   0 = -32t + 16

Add 32t to each side: 32t = 16

Divide each side by 32: t = 1/2 second

His height at that instant is    H(0.5) = -16(0.5)² + 16(0.5) + 480 =

   4-ft above the cliff, 484-ft above the water,

and then he begins falling from that altitude.

The duration of his dive is 484 = 16 t²
   t = √(484/16) = 5.5 seconds

and he hits the water at V = a t = (32) x (5.5) = 176 ft/sec = exactly 120 mph

Jason was good man ... a good student, and always kind to everyone he met.
He will certainly be missed.

Write the fraction as a mixed number in the simplest form.
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