MATHEMATICS
HIGH SCHOOL

Answer:

Answer:

(x - 2)² + (y - 1)² = 9

Step-by-step explanation:

The standard form equation of a circle with center (h, k) and radius r is ...

(x -h)² +(y -k)² = r²

Filling in (h, k) = (2, 1) and r = 3, you have ...

(x -2)² +(y -1)² = 9

MIDDLE SCHOOL

Which figure could be the result of dilating the trapezoid with a scale factor between 0 and 1? On a coordinate plane, a trapezoid has points (0, 0), (1, 4), (2, 4), (3, 0). On a coordinate plane, a trapezoid has points (0, 0), (1, 3), (2, 3), (3, 0). On a coordinate plane, a trapezoid has points (0, 0), (1.5, 6), (4.5, 6), (6, 0). On a coordinate plane, a trapezoid has points (0, 0), (2, 9), (5, 9), (6.5, 0). On a coordinate plane, a trapezoid has points (0, 0), (0.5, 2), (1, 2), (1.5, 0).

Answer:

On a coordinate plane, a trapezoid has points (0, 0), (0.5, 2), (1, 2), (1.5, 0).

Step-by-step explanation:

If a trapezoid is dilated with a scale factor between 0 and 1, the resulting trapezoid will look smaller than the original trapezoid.

Since the figure is missing, we can examine the coordinates.

By analyzing the coordinates critically, the correct choice is :

On a coordinate plane, a trapezoid has points (0, 0), (0.5, 2), (1, 2), (1.5, 0).

Because when we compare to the original figure with coordinates:

(0, 0), (1, 4), (2, 4), (3, 0), we can see that, the coordinates of the original figure were multiplied by .

The scale factor is and this is between 0 and 1

Answer:

b

Step-by-step explanation:

MIDDLE SCHOOL

If five times a number is less than 55, what is the greatest possible integer value of the number?

MIDDLE SCHOOL

The picture shows six equal squares the total area is 96 squares feet what is the perimeter

Perimeter = 96 ft.

Step-by-step explanation:

Area of a square = a² = side×side

Total area of 6 squares = 96 sq. ft

Area of 1 square = 96/ 6 = 16

a² = 16 sq. ft

So side = √a² = √16 = 4 ft

Perimeter = 4a = 4 (4) = 16 ft

Perimeter of 6 squares = 6 (16) = 96 ft.

MIDDLE SCHOOL

Hot dogs come 10 to a package, and buns come 8 to a package. If an equal number of hot dogs and buns are wanted for a picnic, what is the minimum number of each that can be purchased? A) 18

B) 36

C) 40

D) 60

C. 40 is the lowest common multiple of 10 and 8

Answer: C

Step-by-step explanation: