The answer is the first one because you have to multiply the outsider five to the other numbers inside the parenthesis. You don't add them or subtract them because they don't have the same variable

5 0

3 years ago

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

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

5 0

3 years ago

How many triangles can be constructed with three angles, each measuring 66°?

Flura [38]

None 3 * 66 = 198
ALL triangles have a total degree measure of 180 degrees

7 0

3 years ago

Read 2 more answers

How do I do this help please

elena55 [62]

Answer:x=3

Step-by-step explanation:

Add 4 to both sides and get 3x=5+4

Simplify 5+4 to 9 and get 3x=9

Divide both sides by 3 and get x=9/3

Simplify 9/3 to 3 and get the answer x=3

4 0

3 years ago