MaxWong

Yea there are some ads in the forum if you have not registered on the forum, but the ads will auto'magic'ally disappear after you registered!!

But if you did not log in the ads will still be there.

That doesn't annoy so much after I registered though. I strongly recommend you to register and become a member of the forum!!

First solve for the distance between the boat and the bridge.

Distance = \(\dfrac{96}{\tan 6}\)feet.

Speed = \(\dfrac{\text{Distance}}{\text{Time}}\)

SO THAT

\(\text{Time}=\dfrac{\text{Distance}}{\text{Speed}}\)

\(\text{Time}\\ =\dfrac{\frac{96}{\tan 6}\text{ft}}{440\text{ft/min}}\\ =\dfrac{96}{440\tan 6}\text{min}\\ \approx 2.076\min \text{#}\)

# means final answer.

You mean 38 \(\times\) 56?

\(38\times 56 = 2128\)

Calculators are good tools!!

~The smartest cookie in the world.

The link is not working properly......

I bet you mis-spelled y-intercept.

For y-intercept:

1) Turn it into the form of y = ax + b, your questions are already in that form so no need to change anything.

2) Look for the constant term, which is b in y = ax + b, that is the y-intercept.

For the first question, y = x + 4, the constant term is 4, so the y-intercept is 4.

For the second question, y = -2x - 2, the constant term is -2, so the y-intercept is -2.

Think about it: Why the y-intercept is the constant term?

\(\dfrac{1}{\sqrt[3]{3}+\sqrt[3]{2}}\\ =\dfrac{(\sqrt[3]{3})^2-\sqrt[3]{3\times 2}+(\sqrt[3]{2})^2}{3 + 2}\\ =\dfrac{\sqrt[3]{9}-\sqrt[3]{6}+\sqrt[3]{4}}{5}\)

Hi anonymous.

\(nd = \ln(de^s)+\ln\left(\dfrac{nu}{s}\right)\\ nd = \ln d + s\ln e +\ln n + \ln u - \ln s\)

What do you want to know about?

3 ways.

1) Let b denote the base of the triangle and h denote the height of the triangle.

Area = \(\dfrac{bh}{2}\)

2) Let a, b, c denote the 3 sides of the triangle respectively and s = \(\dfrac{\text{Perimeter}}{2}\)

Area = \(\sqrt{s(s-a)(s-b)(s-c)}\)

3) Let a and b denote any 2 sides of the triangle and \(\theta\) denote the angle included in the 2 sides.

Area = \(\dfrac{ab\sin \theta}{2}\)

Where \(\sin x = \dfrac{e^{ix}-e^{-ix}}{2i}\)

Where \(e^x = 1 + x + \dfrac{x^2}{2}+\dfrac{x^3}{2\times 3}+\dfrac{x^4}{2\times 3\times 4}+......\)

and \(i = \sqrt{-1}\)

Binomial is a lump of things with only 1 '+' sign or '-' sign.

Example:

z + 7 is a binomial.

y³ + 1 is a binomial.

x² - 3x is a binomial.

Be careful that 2^x - 3^2x is not a binomial...... x cannot be an index.

Some easy exercises...... by me.

1) Is x + 1 a binomial?

2) Is s² + 2s + 1 a binomial?

3) Is (2x + 3)² a binomial?

**4) Factor x⁴ - 1 to 3 binomials.