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)

i think 5 miles per hour

step-by-step explanation:

answer: 10 turtles

step-by-step explanation: as turtles have four legs so 4.10=40 therefore birds are 4 which sue counted

18 units²

step-by-step explanation:

first let's find altitude bd using the distance formula

d = √((y₂ - y₁)² + (x₂ - x₁)²)

bd = √((0 - -3)² + (0 - 3)²)

bd = √18

given the placement of points a and c, we can denote that point d bisects segment ac.

we will call ac the base.

using the distance formula

ac = √((0 - 6)² + (-6 - 0)²)

ac = √72

knowing our base and our height, we can plug these into our triangle area formula

area = (b * h)/2

area = (√18 * √72) / 2

area = (√1296) / 2

area = 36 / 2

area = 18 units²