<u>Solution-</u>
In order to get A'B'C' from ABC we have to do two steps,
they are
1- First we need to rotate the triangle around its own vertex C (-1 , 3)
2- Then moving the triangle 4 units downwards we will get the desired triangle.
After doing the first step the new co-ordinates of A,B,C will be,
(-2 , 4),(2 , 1) and (-1 , 3)
Then moving the triangle 4 units downward (i.e subtracting from y co-ordinate as we are moving in -ve y direction), the co-ordinates will be,
A' = (-2 , -3)
B' = (2 , -3)
C' = (-1 , -1)
The coordinates of B would be (2, -4)
In order to find this, we need to know that the value of M's points will always be the average of A and B's points. This is because it is the midpoint. Therefore we can use the following formula.
Value of x
(A + B)/2 = M
(-8 + B)/2 = -3
-8 + B = -6
B = 2
Then we can do the same for the y values
Value of y
(A + B)/2 = M
(-2 + B)/2 = -3
-2 + B = -6
B = 4
The type of numbers, rational and irrational from the numbers Keisha writes are;
a. Rational numbers; -9, 3.0, 2, and 2.42
b. Irrational numbers; √8
<h3>What is the difference between rational and irrational numbers?</h3>
Rational numbers are numbers are numbers that can be expressed as a ratio of two whole numbers P/Q, in which, <em>Q </em>≠ 0
Irrational numbers are those that cannot be expressed as a fraction P/Q
The given numbers are;
-9, √8, 3.0, 2, 2.42
- √8 = 2•√2 (√2 cannot be expressed as a fraction of two whole numbers)
a. The rational numbers are therefore;
b. The irrational number is; √8
Learn more about rational and irrational numbers here:
brainly.com/question/43641
#SPJ1
In order to answer this, you would need to find the circumference of the windlass. This would represent the distance of one rotation. When you know the distance of one rotation, you would then multiply it by eight for all eight Kranks. This is knowing each crank is a complete turn. Here is the formula C= pi times the diameter. So, 3.14 x 7 is 18.84 inches for 1 crank. 18.84 inches times 8 equals 150.72 inches. This is an approximation because pi is an approximation.
Answer:
(x,y) = (—2,—5)
Step-by-step explanation:
I attached a picture
