Find an expression which represents the difference when (-8+y) is subtracted from (-5-8y) in simplest terms

Mathematics

1 answer:

Eduardwww [97]3 years ago

6 0

Answer:

Step-by-step explanation:

10 plus 70 plus 2 plus 6 =88

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The hypotenuse AB of a right triangle ABC is 5 ft, and one leg, AC, is decreasing at the rate of 2 ft/sec. The rate, in square f

mojhsa [17]

Okay
we have the rate of change of AC = d(AC)/dt = -2
the rate of change od BC = d(BC)/dt
area = (1/2) *AC) (BC)
taking differential on both sides we ge
d(A)/dt = 1/2){ (BC) d(AC)/dt + (AC) d(BC)/dt)}....(1)
again
when AC= 3
applying pythagorous thm
we get
(5)^2 =(3)^2 +(BC)^2
hence we get BC = 4
now we need to find d(BC)/dt
we have
(5)^2 = (AC)^2 +(BC)^2
taking differenial
0=2(AC) d(AC/dt) +2BC d(BC)/dt
that is
d(BC)/dt = -(3) *(-2)/4 ..(at AC =3)
hence
d(BC)/dt = 3/2
substituting these values in equation (1)
d(A)/dt = (1/2) {4 * -2 + 3 *3/2}

which gives
<span>d(A)/dt = -7/4

</span>The rate, in square feet per second, at which <span>the area is changing when AC = 3 is -7/4 ft/sec.

I hope my answer has come to your help. Thank you for posting your question here in Brainly.

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4 0

3 years ago

Read 2 more answers

What's 10.08 rounded to the nearest one?

Ganezh [65]

Answer:

Step-by-step explanation:

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3 years ago

A jar has 2 red marbles and 3 blue marbles. Two marbles are drawn at random without replacement from the jar.

ruslelena [56]

Answer: The required answers are

(a) 0.4.

(b) 0.3.

Step-by-step explanation: Given that a jar has 2 red marbles and 3 blue marbles and two marbles are drawn at random without replacement from the jar.

We are to find the probability that

(a) the second marble is red.

(b) the second marble is red, given that the first is blue.

(a) Here, we need to find the probability that the second ball drawn is red. That is, the first ball may be red or blue.

If first ball is red, then the probability that the second ball is red is given by

$p_1=\dfrac{2}{5}\times\dfrac{1}{4}=\dfrac{1}{10}.$