The sum of two numbers is 38. The larger number is 8 more than the smaller number, What are the numbers? Larger number:
Smaller number.

Larger number: 23

Smaller number. 15

Step-by-step explanation:

y = x - 8

x + y = 38

substitute for y:

x + x - 8 = 38

2x = 46

x = 23

y = 15

  Larger number:  23

Smaller number:  15

Step-by-step explanation:

let x be the smaller number, then the larger number would be x+8

x + (x + 8) = 38

2x + 8 = 38

2x  = 30

x = 15

larger number = x + 8 = 15 + 8 = 23

step-by-step explanation:

x^2 -12x + 36 + y^2 = 36

x^2 + y^2 = 12x

r^2 = 12rcos(theta)

r = 12 cos(theta)

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3