A
Step-by-step explanation:
90 Degree Rotation. When rotating a point 90 degrees counterclockwise about the origin our point A(x,y) becomes A'(-y,x). ...
180 Degree Rotation. When rotating a point 180 degrees counterclockwise about the origin our point A(x,y) becomes A'(-x,-y). ...
270 Degree Rotation.
Here the line passes through (0,0) and (1,3).
First we need to find the slope , and for that we need to use the following formula

On substituting the values from the point, we will get

Now we will use slope intercept form, which is

Where m is the slope and b is the y intercept
And on substituting the values of x and y from the point (1,3) and slope, m = 3, we will get


b =0
Substituting the values of m and b in the slope intercept form, we will get

Answer:
12 3/8
Step-by-step explanation:
A = 2 3/4 x 4 1/2
best way is to change mixed numbers to fractions and multiply and then go back to a mixed number.
11/4 x 9/2 = 99/8 = 12 3/8
The answer is 113.04 should be correct...
Answer:
1/26=4/104
Step-by-step explanation:
The probability of pulling a diamond if completely shuffled properly, is a 1/4. Because there are 4 suits. This is only if, there are no jokers.
And the probability of pulling a jack, is a 4/51. Because there are 4 jacks out of the 51 cards, but you already pulled out a diamond card, so you take 1 out.
Multiply them together, and you will get 4/104 = 1/26
There is a 1/26 chance of pulling out a diamond card, then a jack.