Kite abcd is translated (x − 2, y + 3) and then rotated 90° about the origin in the counterclockwise direction. complete the table to show the locations of a″, b″, c″, and d″ after both transformations.

a (−5, 1) a″ ?
b (−2, 2) b″ ?
c (−1, 1) c″ ?
d (−2, 0) d″ ?

a. a″ (4, 7), b″ (5, 4), c″ (4, 3), d″ (3, 4)

b. a″ (−3, −4), b″ (−4, −7), c″ (−5, −4), d″ (−4, −3)

c. a″ (−4, −7), b″ (−5, −4), c″ (−4, −3), d″ (−3, −4)

d. a″ (−7, 4), b″ (−4, 5), c″ (−3, 4), d″ (−4, 3)

which expression represents the approximate length of bc?

step-by-step explanation:

b

step-by-step explanation:

a difference is the result of subtraction. while each of these expressions has subtraction in it, a difference will be the result when subtraction is the last operation applied in the order of operations for the expression. this means subtraction must be outside of the parenthesis. only b has this.

in 1995, potato plants were taken into space aboard the space shuttle columbia.

step-by-step explanation:

step-by-step explanation:

this can be solved first with pythagorean theorem, which tells us to square both legs of the triangle and sum it. this will be equal to the square of the hypotenuse.

the hypotenuse is the side "opposite" the 90 degree angle, which is x.

so we can write using pythagorean theorem,

simplifying:

to further simplify this radical, we need to use the property  

thus