We know that
in a right triangle
Applying the Pythagoras Theorem
c²=a²+b²
in this problem
c=√87 yd
a=√23 yd
b=?
so
b²=c²-a²-----> b²=(√87)²-(√23)²----> b²=87-23----> b²=64----> b=8 yd
the answer is
8 yd
Answer
4. - x ^ 2 + 13x - 42 <= 0524211r
5. x ^ 2 - 11x - 42 < 0
16 - x ^ 2 + 9x - 8 <= 0
17. x^ 2 -11x+80<0
18. - x ^ 2 + 3x + 4 <= 0
19. x ^ 2 - 12x + 36 <= 0
20. 2x ^ 2 - 32x + 56 < 0
21. x ^ 2 - 10x - 96 < 0
Answer:
(x-5)^2+(y+4)^2=100
Step-by-step explanation:
As we know the given points
Center = (5, -4)
and
Point on circle = (-3,2)
The distance between point on circle and center will give us the radius of circle
So,
The formula for distance is:

The standard form of equation of circle is:

where h and k are the coordinates of the center. So putting in the value:

The 4 litres of red has to be 2 parts of the mixture, so each part will be 2 litres. Therefore 3 parts of cream will be 6 litres and the one part of blue will be 2 litres.