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Use distance formula

d²  = ( 6- -6)²  + ( 6 - -3)²       solve for 'd'    note that this equation gives you d²

Slope =  (y1-y2) / (x1-x2) = -12/-27 = 12/27 = 4/9

point slope form using   -18, -2

( y+2) = 4/9 ( x + 18)                       can you do the other point  ( the end result ....if you expand them , will be the same)

Hey there,

Given the X rule (I don't know if this is what it is actually called), we know that the two given angles are equal to eachother so we can just use some rearranging to find what y is

11y-110=4y-5

7y=105

y=15

Thus PTS will be 11(15-10)=55 degrees

Hope this helped :)

The two angles are equal      11(y-10 ) = 4y -5        solve for 'y'     then pts =   11 ( y-10)

x = mik age

g = gab age = x + 13

x    +    x+13   = 113

2x = 100

x = mik age = 50 y/o

12 cards

prime   11 13  17  19  

even      10  12  14  16  18  20        ten out of twelve

                                                                            10/12 = 5/6

Hey there!

Gabrielle will be $63$

Mikhail will be $50$

Since $63+50=113$ and $63-50=13$

Hope this helped :)

Here is a way to solve:

Hey there!

The formula for the area of a pentagon is as follows:

$Area=\frac{1}{4}\sqrt{5(5+2\sqrt{5})}*a^2$

Since all sides are equal to 5cm, just sub this into "a" to get the area:
 

$Area=\frac{1}{4}\sqrt{5(5+2\sqrt{5})}*5^2\approx43.01194cm^2$

You want the nearest tenth so your answer will be: $43.0cm^2$

Hope this helped :)

Volume of a cone =    1/3  r²  h     units³

                               r = 6   h = 8      plug in these values and calculate

Here is what it SHOULD look like

x^2 + 10x = 96

(x+5)^2     = 96 + 25

(x+5)^2    = 121

(x+5) =  +-11

x = 6     x = -16

Excellent work, Melody!!!  

Cosine in a right triangle is defined as   adjacent side / hypotenuse

    adjacent side for    cos a    is 8ft     

                    do you know how to use the Pythagorean theore to find the hypotenuse ?

The matrix is $\begin{pmatrix} 2 & -1 \\ -1 & 0 \end{pmatrix}$

Use the angle formula.

fat ingredients = final fat amount

.10x       +   .35(15-x)     =      .20 (15)     

            solve for 'x' the amount of 10% to use    then 35% amount = 15-x

LCM  4   5   8  = 40   convert to denominator 40

yellow = 50/40      green = 48/40       blue = 35/40

total ( 50 + 48 + 35) / 40 = 133/40    

Now use 3/4 gal of each  (  3/4  is  30 /40 )

133/40 -      3 * 30/40    =   43/40   =   1  3/40 gal paint left

Original    area    2  ( 6*2 + 6*9 + 2*9) = 168 in^2

double h   (from 9 to 18) area    2 ( 6*2 + 6*18 + 2*18) = 312 in^2               Fixed typo

double w   ( from 2 to 4 ) area   2 ( 6*4 + 6*9 + 4*9) = 228 in^2

Doubling w will use   (312 - 228) = 84 in2 less material

Interior angles of triangle sum to 180

(11x-9) + 6x-2  + 72 = 180        solve for 'x'

and

30 + ( 5y-8) + 11x-9 = 180       (use the value of x yo found above)   solve for 'y'

Just use calculator

3.8646/.0076 = 508.5

Circle B is larger!!!

square base      9*9

 PLUS 4  triangle sides (area = 1/2 b*h)      4  *    1/2* 9 * 9.2             Add the reds for final answer......

The ratio is  4pi / 9pi    or    4/9

Original area   2 x 5 = 10 cm²

Now double the base from 5 to 10

    New area =   2 x 10 = 20  cm²     =    2 times the original area