There are xboys playing in the park. The number of girls playing in the park is equal to the square root of the number of boys. If the total number of boys and girls playing in the park is 42, find the number of boys.
A. 49
B.6
C. 36
D. 7

x = 36 and √x = 6; total 42 children

Step-by-step explanation:

Number of boys:  x

Number of girls:  √x

Total number of kids:  x + √x = 42.

Find x.

Rewrite x + √x = 42 as √x = 42 - x.  Then square both sides:

x = 1764 - 84x + x^2, or

x^2 - 85x + 1764 = 0

Check out Answer C:  x = 36.  Is the above equation true for x = 36?  YES

Check out Answer A:  x = 49.  Is the above equation true for x = 49?  YES

Assume that x = 36.  This would be the number of boys.  The number of girls would be √36, or 6.  Does the sum of 36 and 6 equal 42?  YES.  So the number of boys is 36 and the number of girls is 6.

Assume that x = 49.  This would be the number of boys.  The number of girls would be √49, or 8.  Does the sum of 49 and 7 equal 42?  NO.  So we reject x = 49 as the number of boys and accept x = 36 as being correct.

-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

10 you would take 50/ .2

step-by-step explanation: