All Answers

#1

+37171

+3

The next larger number than 100 that is divisible by 12 is 108....since you got shorted two eggs, you now have 106.

ElectricPavlovNov 13, 2018

#1

+2

Using the "Law of Sines" we have:

The hypotenuse of the large triangle =4sqrt(3)

The shorter side to the right =2sqrt(3)

The Base to the left =6

Area of the large triangle =1/2 x 6 x 2sqrt(3) =6sqrt(3) units^2.

GuestNov 13, 2018

#3

+1

Why didn't angle bisector theorem work?

Since BP bisects the right angle at B, we can designate BC =x and AB =2x. By Pythagoras' theorem we have:

3^2 =x^2 + 2x^2

9 = 5x^2

x =sqrt(9/5)

The area of ABC triangle = 1/2 * x * 2x =1/2 * sqrt(9/5) * 2sqrt(9/5) =9/5 units^2.

GuestNov 13, 2018

#1

+6252

0

\(\text{The line has slope }m=\dfrac 1 3 \text{ and lies in the I and III quadrants}\\ \text{As }\sin(\theta)<0,~\theta \text{ must lie in the III quadrant and thus }\cos(\theta) < 0\\ \text{the III quadrant point }(-3,-1) \text{ lies on the line and from this we know that }\\ \cos(\theta) = \dfrac{-3}{\sqrt{(-3)^2+(-1)^2}} = -\dfrac{3}{\sqrt{10}}=-\dfrac{3\sqrt{10}}{10}\)

.

RomNov 13, 2018

#1

+1253

-1

yup

P.s. I like penguins too!

CoolStuffYTNov 13, 2018

#1

+1253

-1

Factor out\(8m^2+16m\) to get\(8m(m+2)\).

Factor out\(m^2-m-6\) to get\((m+2)(m-3)\).

Factor out\(4m^3+8m^2\) to get\(4m^2(m+2)\).

\(\frac{8m(m+2)}{m-3}\times\frac{(m+2)(m-3)}{4m^2(m+2)}\).

"Crossing off" \(4m(m+2)\) we get \(\frac{2}{m-3}\times\frac{(m+2)(m-3)}{m}\)

"Crossing off" \(m-3\) we get \(2\times\frac{m+2}{m}\)

Solving, we get \(\frac{2m+4}{m}\).

You are very welcome!
:P

CoolStuffYTNov 13, 2018

#1

+6252

0

\(\text{Given a point }p=(x,y) \\ \text{the angle, }\theta \text{, the vector from }(0,0) \text{ to }p \\ \text{ makes with the positive x-axis is given by}\\ \cos(\theta) = \dfrac{x}{\sqrt{x^2+y^2}}\\ \cos(\theta) = \dfrac{-5}{\sqrt{(-5)^2+(-4)^2}} = \dfrac{-5}{\sqrt{41}} = -\dfrac{5\sqrt{41}}{41}\)

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RomNov 13, 2018

#1

0

320 tabelspoons

GuestNov 13, 2018

#1

+37171

0

y = mx + b is slope (m) intercept(b) form

y = (1) x + b and includes the point 0, 10 Substitute this point in to the equation

10 = 1(0) + b yields b = 10