Answer:
= (7, -1)
Step-by-step explanation:
Rotation is a method of rigid transformation in which a point is moved about a reference point through a stated angle. The rotation could be clockwise or counterclockwise so as to produce the image of the initial object.
In the polar coordinate given, the coordinate of A is given as;
A = (3, 3)
On rotating point A about point C counterclockwise for 
, an image would be produced.
But would have a coordinate;
= (7, -1)
The image of A produced is (7, -1).
The slope of RS, RT, and ST are 1/2, -1 and -4 respectively
<h3>Triangle and slopes</h3>
Given the folllowing coordinates R (2,3), S (4,4), and T (5,0) os triangle RST
The formula for calculating the distance is expressed as:
For length RS:
D = √(4-3)²+(4-2)²
RS = √1+4
RS= √5
For length RS:
RT = √(0-3)²+(5-2)²
RT = √9+9
RT= 3√2
For length ST:
D = √(0-4)²+(5-4)²
ST = √16+1
ST= √17
Since all the sides are different, the triangle is a scalene triangle.
For the slope of the sides
For the side RS;
Slope = 4-3/4-2
Slope of RS = 1/2
For the side RT:
Slope = 0-3/5-2
Slope of RT = -3/3 = -1
For the side ST
Slope of ST = 0-4/5-4
Slope of ST = -4/1 = -4
Hence the slope of RS, RT, and ST are 1/2, -1 and -4 respectively
Learn more on slope and distance here: brainly.com/question/2010229
It would be helpful to draw the figures, you will see that for ABCD there 2 lacking side lengths which are AB and CD. For EFGH, there is one lacking side length which is EH. We use the ratios of the corresponding sides to determine side EH. We do as follows:
FG / BC = EH / AD
10 / 8 = EH / 12
EH = 15
Therefore, the perimeter would be:
15+10+5+15 = 45 units
<h3>
Answer: A) 2/3</h3>
Explanation:
There are 6 names in either circle A only, circle B only, or both circles (overlapped region)
The probability of getting someone in one of those circles, or both, is 6/9 = 2/3.
Answer:
7) b
8) b
9) a
10) d
11) a
12) a
Step-by-step explanation:
