Which number is closest to - 67 (square root)?

A. -9.2
B. -9.4
C. -7.9
D. -8.1

D. -8.1

Step-by-step explanation:

Squares of natural numbers are

{1,4,9,16,25,36,49,64,81,...}, which are squares of {1,2,3,4,5,6,7,8,9,}

As 65 lies between 64 and 81, square root of

65 lies between 8 and 9 Further, 8.1 2 = 65.61, and as 8.02 = 64, the square root of 65 lies between 8.0 and 8.1.

-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

the first one, all those points on the line just make a strait line.