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Please post question directly here.....rather than link.

hint: Pi/4  radians = 45^o

Slope = rise/ run   First one =4/2      Intercept at y=3

  you cand second one....note: slope is negative

1.324555 x 10¹²

Since the number is divisible by 72, it must be divisible  8 and also by 9. For it to be divisible by 9, sum of its digits must also do so; so a + 6 + 7 + 9 + b= a + b + 22 must be divisible by 9, that is, a+ b=5  or a+b = 14. For the number to be divisible by 8, its rightmost 3 digits must make a a number divisible by 8; so 79b must be divisible by 8. Since 79b = 8(90) + 7b, the number 7b must also be divisible by 8. The only possibility for b is 2, and a must, therefore, be 3. So a679b = 36792=72(511).

vertex is at   -1, -2       and point 0,-1

vertex form for parabola

y = m (x+1)^2 -2      when x = 0   y = -1

-1 =m(1^2)-2

m = 1

y = (x+1)^2 -2   expand

 y = x^2 +2x -1                          You can finish   .....

every mind i solved it, it is (-inf,1) u (1, inf) 

Why can you not post it upright?

f(x) = x^k can take on all nonnegative real numbers so the range is [0,inf).

According to my graphing calculator, there is only one solution.

The perimeter consists of two straight sides, 2 inches each, and two semicircles, with 2 -inch diameters. The perimeter of a circle is 2*pi*R, where R is the radius. Here the radius is 1 inch, and you have only half of a circle. So the two semicircles each have length Pi. So the figure has perimeter 2 + 2 + 3.14 + 3.14=10.28.

Range?!!!

8 Km at 80 Km/hr takes 1/10 hours;

x Km at 100 Km/hr takes x/100 hours;

y km at 60 km/hr takes y/60 hours;

in one direction the sum of these is 2 hours, so 1/10 + x/100 + y/60 = 2. In the other direction , however, whatever was uphill becomes downhill and whatever was downhill becomes uphill; so the roles of x and y changes and we get the equation

1/10 + x/60 +y/100 =3. These equations can be simplified to get

6x + 10y = 1140

6y + 10x = 1740

the solution is x=165 km, and y = 15 km. so the total distance is 165 + 15 + 8 = 188 km.

Inradius     r = 3/2 = 1.5   

Semiperimeter   s = (3x-1)/2

Triangle area     A = r (s)   

r = {sqrt[x²-((x-1)/2)²] *(x-1)/2 } / (3x-1)/2     

x = 3 + √7

I'll let you find the area of  ΔABC 

Angles in a triangle sum to 180

BEC = 180-32-32=..... degrees

ohh, right you are correct. Thanks!

32222    i think

From the given equations, x + y = 10 and xy = 14.  Then by Vieta's formulas, x and y are the roots of t^2 - 10t + 14 = 0.  These roots are 5 + sqrt(11) and 5 - sqrt(11), so the solutions are (5 + sqrt(11), 5 - sqrt(11)), (5 - sqrt(11), 5 + sqrt(11)).

let's assign variables

Adults= A    Children=C

We know that an adult cost 4$ so 4A

We know a kid cost 2$ so 2C

We know that 2C+4A= 6400

We know that there are A number of adults and C number of children

So, we know C+A= 2000

multiply it by two so that we can subtract the two equations.

We can subtract these two equations. 

2c+4a=6400

-2C+2A=4000

2A=2400

--     ------

2        2

A=1200

Plug it into either of the equations

C+1200=2000

C=800

1200 Adults and 800 children

You can round down, to get an answer of 7.

The total number of matches played was 20.

  This solution for 'x' assumes the opposite sides are equal or parallel   .... which is not stated. ....or that this is a cyclical quadrilateral...also not stated.