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Svet_ta [14]
3 years ago
7

Michael rotates ABC to form the image A'B'C'. The table shows the corresponding vertices for ABC and AA'B'C'. What degree of rot

ation and direction did Michael rotate ABC to form AA'B'C'? ДАВС A (2,3) B(4,4) C(3,0) LA'B'C' A'(3,-2) B'(4,-4) C'(0, -3)​
Mathematics
1 answer:
babunello [35]3 years ago
3 0

Answer:

90 degree rotation in the clockwise direction.

Step-by-step explanation:

Point A transforms to A'

- that is x coordinate: 2 ---> 3

and y coordinate   3 ---> -2

So the rotation is clockwise from Quadrant1 to Quadrant 4.

The slope of OA = 3/2 and the slope of OA' = -2/3.

The product of these slopes = 3/2 * -2/3 = -1 so the lines are perpendicular - that is the line has passed through an angle of 90 degrees.

A similar result occurs if we consider points B, C and D.

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tu debes de saber por qué si yo lo sé tú también no es verdad

6 0
3 years ago
The sum of three consecutive odd integers is-219. What is the first number in the set?
Alex73 [517]

Answer:

-75

Step-by-step explanation:

Let us consider the first  odd number to be 'x'.

Thus:

  1. 1st odd number: x
  2. 2nd odd number: x+2
  3. 3rd odd number: x+3

According to the question, the sum of these three consecutive ODD numbers should be equal to -219

So,

x + x + 2 + x + 4 = -219

3x + 6 = -219

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3 years ago
How to solve 3y+6=5y-18
MariettaO [177]

Answer:

y = 14

Step-by-step explanation:

move 5y over to the left and you should get -2y +6=-18. subtract 6from both sides and you will now have -2y=-24. divide bothe sides from -2 and you will get y=14

4 0
3 years ago
Read 2 more answers
A cylinder has a radius of 6 inches and a height of 15 inches. What is the surface area of the cylinder? Express the answer in t
shutvik [7]

Answer:

The surface area for this cylinder is 252*pi square inches.

Step-by-step explanation:

The surface area of a cylinder can be calculated by using the following formula:

surface area = 2*pi*r² + 2*pi*r*h

Applying the data from the problem, we have:

surface area = 2*pi*(6)² + 2*pi*(6)*15

surface area = 2*pi*36 + 180*pi

surface area = 72*pi + 180*pi

surface area = 252*pi

The surface area for this cylinder is 252*pi square inches.

4 0
3 years ago
Read 2 more answers
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Nookie1986 [14]

Answer:

Step-by-step explanation:

surface area of sphere=a

4pir^2=a

r^2=a/4p

r=root(a/4pi)

if radius is doubled

r1=2root(a/4pi)

r1^2=4(a/4pi)

a/a1=(4pia/4pi)/(4pi 4a/4pi)=1/4

so a is increased by 4 times

6 0
2 years ago
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