3 years ago

(2/3,1) and slope m=4/5

Mathematics

1 answer:

ad-work [718]3 years ago

7 0

Answer:

y-1=4/5(x-2/3)

Step-by-step explanation:

y-y1=m(x-x1)

y-1=4/5(x-2/3)

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A point moves along the curve y = √ x in such a way that the y-component of the position of the point is increasing at a rate of

Eduardwww [97]

Answer:

The value of x component changes at a rate of $\frac{dx}{dt}=4\sqrt{x}$ units per second

Step-by-step explanation:

We are given that $y=x^{\frac{1}{2}}$

Differentiating on both sides with respect to time we get

$\frac{dy}{dt}=\frac{d\sqrt{x}}{dt}\\\\\frac{dy}{dt}=\frac{1}{2}x^{\frac{-1}{2}}(\frac{dx}{dt})\\\\\frac{dy}{dt}=\frac{1}{2\sqrt{x}}\frac{dx}{dt}$

It is given that $\frac{dy}{dt}=2units/sec$

Solving for $\frac{dx}{dt}$ we get

$\frac{dx}{dt}=\frac{dy}{dt}\times 2\sqrt{x}\\\\\frac{dx}{dt}=4\sqrt{x}$

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3 years ago

Brenda finish 1/3 of a friendship bracelet 1/2 of an hour at this rate how many bracelets can she finish in 1 hour

Tresset [83]

First, 1/2 of an hour is 30 minutes. Well, how many 30 minutes are in an hour? 2, because 2*30 = 60.

So Brenda finish 1/3 of the bracelet in 30 minutes. We would just do...

(1/3)*2 = 2/3

Brenda can finish 2/3 of a bracelet in 1 hour.

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3 years ago

Choose the rate of change (slope) to match the line.

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Find the slope of the line through the given points.<br> (-2,6) and (2,-2)

Elenna [48]

Answer:

-2

Step-by-step explanation:

We can find the slope using the slope formula

m = ( y2-y1)/(x2-x1)

= ( -2-6)/(2- -2)

= ( -2-6)/( 2+2)

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Mr. Collins ordered 8,000 oz of stone how many tons of stone did he order?

padilas [110]

Answer:

0.25.

Step-by-step explanation:

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