All Answers 354377 Answers

                     5²

I see where  ––  comes from, that's obvious.  Where did the 1 come from?  Thanks. 

                     2  

Points in form (x,y): (-6,19) and (-14,30).

Equation: $y=mx+b$ where $m$ is the slope and $b$ is the y-intercept.

Slope = $\dfrac {y_1-y_2}{x_1-x_2}\\\implies-\dfrac{11}8$

So $y=-\frac{11}8x+b$

Plug in $x$ and $y$ from any coordinates given to get $b$...

$\color {red}{19=\frac {11}8\cdot-6+b\\\implies19=8.25+b\\\implies10.75=b\\\implies b=43/4}$

So... $\color {red} {\boxed {y=-\frac {11}8x+43/4}}$

Area of DRQC = 5²/2 - 1

The volume of the solid is 35pi cubic units.

Uhhhhhh......just use the 'Forgot Password'  feature on the sign in.......

Maybe it was flagged because of the @ sign.

Hmmmm....   Have you posted the numbers correctly??

AB would be the hypotenuse...but it is shorter than the leg...

159  167  235  333  Total =  4

Sum z=[9  +  7  +  5  +  3 ]==24

Remember that |a + bi| = a^2 + b^2.

So from equations, (z - 3)^2 + (z - 5)^2 = 4 and (z - 6)^2 + (z - 6)^2 = 4.

(x - 3)^2 = 4, (y - 5)^2 = 4, (x - 6)^2 = 4, (y - 6)^2 = 4

Two possible values of x, two possible value of y.  Therefore, four solutions for z.

1/2⁴  * 3 * 2^1/2  = 2ⁿ      I will assume

3 * 2^-7/2 = 2ⁿ

.265165 = 2ⁿ

log .265165  / log 2   = n = -1.915

Hi olesore,

Welcome to our web2.0 forum!

atan is the same as  tan^(-1)  

Excel defaults to radians so that is why i have multiplied the result by 180/pi

Can you work it out now?

---------------------------------------------------------------------------------------------------------------------

I double checked it by finding  tan^(-1) (1/sqrt3)  which I know is 30 degrees.

A 3rd degree polynomial has the  form      ax^3  + bx^2 + cx + d

We can solve the equations to get a = 1, b = -8, c = 10, and d = 2.  So the x-intercepts are x = -2, 3, and 5.

Arc Length = [90 x pi/180 x R] =[2*120 x pi/180 x W], solve for R/W
R/W = 4/5 - ratio of the area of circle R to circle W

One week earning   5400 x .11= $ .........

52 week (one year) earning    5400 x .11 x 52 =  $.........

d'Oh!     Don't count '1' twice either !      12 out of 100 

Can you re-write or re-format that so the indices are mathematically clear???

100 choices

squares   1  4  9  16  25  36   49   64    81   100

 cubes      1    8              27           64  

13 out of 100    (Don't count 64 TWICE ! )

The area of the larger circle  will be  4 pi

So...the  shaded area  is  =  (1/3) * 4 pi  =  4/3*pi

Let  the measure  of  the smaller angle   ADC  = theta  (in rads)    

And let the measure of the larger angle ADC  = [2pi - theta ]  in rads

So...the  area of the sector subtended by the large circle  is (1/2) 4^2 * θ =  2θ

And let the area of the sector subtended by the larger circle be  (1/2) * 1^2 * (3pi - θ) =

(1/2) (3pi - θ)  

So we have that

2θ  +  (1/2)(3pi - θ)  =  (4/3)pi

θ = (4/7) pi  

So...the smaller angle ADC  =  (4/7) * 180 / pi  =  720/7*pi

How did you derive a = 6 or -204 ?

In a circle with center O, AD is a diameter, ABC is a chord, BO = 5, and ABO = arc CD = 50 degrees. Find the length of BC.

1/   Using the law of sines find AB, AO      (AO * 2 = AD)

2/   Using trig find AC         (ACD is the right triangle)

3/   Subtract AB from AC and you'll get BC = 10 - 5*sqrt(3)

Correct! Nice job!

If f is its own inverse, then

k(5x - 8) = 5k(x) - 8

k(5x) = 5(k(x) + 8) + 8

k(x) = 5x - 7