All Answers 352715 Answers

Let the first number =F

The second number =F - 8

F + [F - 8] =56      Add 8 to both sides

2F =56 + 8

2F = 64                   Divide both sides by 2

F = 64 /2

F = 32 - Your first number

32 - 8 = 24 - Your second number

Check:  32 + 24 = 56

$6.50 /$0.25 =26 Quarters

26 x 3 =78 Dimes

Note: I changed your 6.60 dollars to $6.50, because $6.60 / $0.25 =26.4 quarters !!. You can't have a fraction of a "quarter"

588  =  k * 7

588 / 7  =  k

84  =  k

28 days

84 * 28   =   2352  cars

I’m surprised the purple marbles haven’t filed a grievance about the green marbles.   

The slope of the given line  = -3/2

So....the slope of a perp. line   will be the negative reciprocal  = 2/3

So...we have, using  (-3, 2)

y  = (2/3) ( x  -  -3)  +   2

y   =  (2/3)  ( x + 3)  + 2

y  = (2/3)x + 2  + 2

y  = (2/3)x  +  4

Thanks!

For the third....it's lengthy....I am going to show you how to find one vertex in the new figure.....I'll let you find the other three....if you get stuck...let me know

Let's call one vertex in the "before" figure -  (-4,3)  -     A

Here's the formula  to get A'

New vertex  =   [  vertex point -  dilation center ] * scale factor  +   dilation center

So we have 

A '  =   [ (-4, 3)  - (7 , - 2)  ]  * 2  +   ( -7, - 2)

A'  =  [ (-11, 5 ) ] *2   +  ( -7, -2)

A'  =  (-22, 10)  + ( -7, -2)

A'  =  (-29, 8)

Now...just apply the same procedure separately to the other 3 vertices of the "before" figure  to find the  "after" points

Here's the second

We can find the scale factor thusly :

JK / EF  =  11.2 / 28   =    2/5  =  .4

Here's the first

HS / HK  =  DY / DL

32 / 15  = DY   /  24       multiply both sides by 24

24 * 32  / 15   = DY

(8/5)*32   = DY  =  51.2

P  =  kv^3

500 = k (10)^3

500  =  k * 1000

500/1000  = k   =   1/2

So

P  =  (1/2)(12)^3   =  (1/2)(1728)   = 864 kW

( 1 - i )^10

[ (1 - i)^2 ] ^5

[ (1 - i) (1 - i ) ]^5

[ 1 - 2i + i^2 ]^5                {  i^2  =  -1 }

[  1 - 2i  - 1 ]^5  

[ - 2i ]^5

(-1)^5 * (2)^5  *  i^5                { i^5  =  i }

-1  *  32  *  i

-32 i 

We can use the Law of Sines for the first one

Sin A  / 7  =  sin (95) / 9

Sin A  =    7 sin (95)/ 9

Use the sine inverse

arcsin ( 7 sin (95)/ 9 )  =  A  ≈  51°

For the second, we can use the Law of Cosines

x  =  sqrt  [  3^2 + 7^2  - 2(3)(7)cos (54)  ]    ≈  5.8

THANK YOU BOTH!!!!

Terribly sorry, but the first link was the image, and the second was the answers...

OK....got it....here's the answers

Angle Addition Postulate

Alternate Exterior

Definition of a Bisector

Substitution Property of Equality

y = x^3

Sequentially

Vertical stretch by a factor of 3  ⇒  y = 3x^3

Horizontal shift 4 units to the right  ⇒  y = 3(x - 4)^3

Vertical shift 3 units down   ⇒  y  = 3(x - 4)^3 - 3

Trapezoid EFGH is not congruent to trapezoid E′F′G′H′ because there is no sequence of rigid motions that maps trapezoid EFGH to trapezoid E′F′G′H′ .

( d  - 4b)^3   

C(3,0) *d^3   -  C(3,1)* d^2 * (4b)  + C(3,2)* d * (4b)^2  - C(3,3)*(4b)^3

1 * d^3    -   3*d^2 * (4b)    +  3 *  d *  16b^2  -   1 * 64b^3

d^3   -   12d^2b  + 48db^2  -  64b^3

Third one

Subtraction Property of Equality

Multiplication Property of Equality

Symmetric Property of Equality

Thank you, but do you know the other two also? If not it's fine, thank you so much!

Could you get us some better images for the last two?

First one

XY  perp  to  AA'

P is midpoint of AA'

music that i put together you can make requests you can listen while i play it

the set of point A and point B and all the points between point A and point B

-3x^4 + 27x^2 + 1200  =  0    multiply through by - 1

3x^4  -  27x^2  - 1200  =  0       divide through by 3

x^4  - 9x^2  -  400  =  0        factor as

(x^2 - 25)  ( x^2 + 16)  = 0 

(x - 5) ( x + 5) (x^2  + 16)  =  0

x  -  5   =  0         x + 5   =  0          x^2 +  16  =  0

x  =  5                x  =  -5                 x^2  =  - 16

                                                       x  =  ±√ [-16]

                                                       x   =  ± i√ 16

                                                        x  =  ±4i

The zeroes are    -5, 5, 4i, -4i