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Opposite angles in an inscribed quadrilateral are supplementary    .... can you calculate ADC knowing this?

its actually (x-2)^2+(y+3)^2=16 ... the center of the circle is at (2,-3) 

The  directrix is above  the focus.....this parabola turns  downward

The vertex =  (0, 1)

p =  1 =   distance  from vertex to  the directrix

The correct equation is

x^2  =  -4 (y  - 1)

See here :    https://www.desmos.com/calculator/utvou2mj4y

We can separate the arrow into 2 shapes, a triangle at the top and rectangle at the bottom

To find the base of the triangle we need to add 2+10+2, which is 14. Now we need the height of the triangle, which is 24-17 = 7

The formula for the area of a triangle is \(\frac{bh}{2}\). If the base is 14 and the height is 7, we get A = 49

Now we need the area of the rectangle.

The problem already gave the length and width, 17 and 10.

The formula for the area of a rectangle is \(l(w)\)

Multiplying 17 and 10 together, we get 170.

Now we need to add 49 and 170 to get the area of the whole figure.

49+170 = 219

So the answer is 219 units squared

Correct me if i'm wrong! 

3. One interior angle of a rhombus is 150 degrees. The area of the rhombus is 50 square meters. What is the perimeter of the rhombus in meters?

1/2  of  the  area =   25 m^2

We  can  solve  this  to   find  a side length, S

(1/2) S^2 sin (150)  =  25      multiply  both sides  by 2

S^2  * (1/2)  =  50         mult through by 2 again

S^2   =100

S =  10

The perimieter  is  4 * 10  =    40 m

The side opposite  "x"  =  7.5  - .75   =  6.75 m

Using the  arctan

arctan  ( 6.75  / 5)   =  x   ≈  53.5°

=   2.8 / 2.5    x 10^4-6   = 1.12 x 10^-2

Pythagorean Theorem: \(a^2+b^2=c^2\)

a and b are the legs of the triangle and c is the hypotenuse

Keep in mind that the Pythagorean Theorem only works on right triangles

Replacing a with 12 and c with 144 we get \(12^2 + b ^2 = 144^2\)

which becomes \(144+b^2 = 20736\)

Now we subtract 144 from 20736 and get \(b^2 = 20592\)

so \(b = \sqrt{20592}\) which is about 143.499128...

Rounding that to the nearest tenth we get 143.5

So the answer is 143.5 inches

Correct me if im wrong! 

6(7+5) + 3 = 75

u1  =   125

u6  = 1/25

A)   

125 r^5  =  1/25

r^5  =  (1/25) * (1/125)

r^5  =  (1/ 5^2) * (1/5^3)

r^5  =  1/ 5^3        take the 5th root

r  =  1/5

B)   

125  ( 1 - (1/5)^n)  / ( 1-1/5)  <  156.22

125 ( 1 - (1/5)^n)  / (4/5)   <  156.22

156.25 ( 1 - (1/5)^n)  < 156.22

1  - (1/5)^n  <   156.22/156.25

1 - 156.22/156.25  < (1/5)^n                { 1/5   = .2 }

3 / 15625  <   .2^n          take  the log of both sides

log  (3/15625)  <   n log (.2)

Divide  both sides  by  log (.2)......this results in a negative.....so....reverse the inequality sign

log (3/15625)  / log (.2)  >  n

5.3  >  n

n  = 5

C)    125  ( 1  - (1/5)^n) /  (4/5)  =   160

156.25  ( 1 - (1/5)^n)  =  160             (1)

Note  that  ( 1  -(1/5)^n)    CANNOT  be  any  larger  than 1

So  ....as large  as  the  left side of  (1)  can be is 156.25   

there are 13 marbles to choose from the first time, and 12 marbles to choose from the second time, so 156 options in total, and there are 6$\cdot$5=30 ways to choose red each of those times, so 30/156=$\boxed{\frac{5}{26}}$

the hour hand traveled 1/4 of the circumference of the circle with 6 inches as a radius, which is 12$\pi$/4=3$\pi$, where the minute hand traveled the whole circumference of the circle with radius 8 inches 3 times, which is 16$\pi\cdot$3=48$\pi$

so the ratio is 3$\pi$:48$\pi$, and simplified: $\boxed{1:16}$

p+5n+10d+25q=287

q=2n-1

p=n+4

d=2p

substitution:

d=2n+8

n+4+5n+20n+80+50n-25=287

76n+59=287

76n=228

n=$\boxed{3}$

q=$\boxed{5}$

p=$\boxed{7}$

d=$\boxed{14}$

1/20?

1.    f(x - 3)   just  shits  the parabola to the RIGHT  by  3  units

So....the " new "  vertex  after  the shift  is  ( 1  + 3, - 2)  =  (4, -2)

2.  If  x = 5  is  the  axis of symmetry.......and  (5 + 3, -7)  = (8, -7)  is on the  graph......then ( 5 - 3, -7)   =  (2, -7)  is also on the  graph

Last  one:

This  should  be easy to spot

Step C   is  incorrect      2(15)  is not  =  17

You should be able to take it  from there

Second one

Step  C is incorrect   because  2¹⁰  is  NOT  =  20

Correction   :   2¹⁰  = 1024

The  sum  is

( 40)  ( 1 -1024)  / ( 1 - 2)    =   40920

First one......step B is incorrect because

a₁   is   not    1

Instead, you should correct a₁ to this:

a₁  =  3(1)  - 1   =   2

The  sum is     (2 + 35) (12/2)   = 37 * 6    =  222

the first one can be any colour, what is the chance of the second one being the same?

You have asked dozens of these.  

If you have not just copied and pasted, which I think is your favoured method, then you would have learned something.

I'll start you off

James has $ X

Pens cost $ a

Pencils cost $ b

Now you can forget about the dollar signs, I just think it is easier if you use a money symbol to start with,

Make an equation for  James and then a second equation for the two of them.

Then get back to me.

If you want me to answer more fully than this in the future you need to discuss what you have already tried.

But do this, or do what you can, and if you are still stuck I will happily help more.

\(\binom{5}{3}\)=10 ways to arrange

There is 1 way to make XOXOX

the answer is 1/10

The leading coefficient of f(x) is 4.

The length of A'B' is 4.

The first person pays (2200-2200x40/100)-(2200-2200x40/100)x25/100=(2200-880)-(2200-880)x1/4=1320-330=$\boxed{\$990}$\

The second person pays 2200-2200x40/100=$\boxed{\$1320}$

the second customer pays 1320-990=$\boxed{\$330}$ more.

Roast beef sandwhich:

7$

Ham sandwhich:

8$

Step-by-step explanation:

x = cost of each roast beef sandwich

y = cost of each ham sandwich

2x + 5y = 54 (1)

5x + 3y = 59 (2)

Multiply (1) by 5 and (2) by 2

10x + 25y = 270

10x + 6y = 118

Subtract to eliminate x

25y - 6y = 270 - 118

19y = 152

Divide both sides by 19

y = 152 / 19

= 8

y = $8

Substitute y = 8 into (1)

2x + 5y = 54 (1)

2x + 5(8) = 54

2x + 40 = 54

2x = 54 - 40

2x = 14

x = 14 / 2

x = $7

Cost of each roast beef sandwich = $7

Cost of each ham sandwich = $8