Given that the point B is (1,1) is rotate 90° counterclockwise around the origin.
We need to determine the coordinates of the resulting point B'.
<u>Coordinates of the point B':</u>
The general rule to rotate the point 90° counterclockwise around the origin is given by

The new coordinate can be determined by interchanging the coordinates of x and y and changing the sign of y.
Now, we shall determine the coordinates of the point B' by substituting (1,1) in the general rule.
Thus, we have;
Coordinates of B' = 
Thus, the coordinates of the resulting point B' is (-1,1)
9514 1404 393
Answer:
90 minutes
Step-by-step explanation:
Assuming the time is proportional to the number of pages, you have ...
time/pages = 20/6 = T/27
Multiplying by 27 gives ...
T = 27(20/6) = 90
It is expected to take 90 minutes to check 27 pages.
The converse of t > r is r > t
<h3>What is a converse statement?</h3>
A converse statement is determined when both the hypothesis and conclusion are reversed or interchanged.
In this condition, the hypothesis is written as the conclusion and the conclusion is changed to be the hypothesis.
If a conditional statement is written as: x → y
The converse is then written as y → x
Where;
- x is the hypothesis
- y is the conclusion
Given the expression as;
t > r
We can see that;
- The variable 't' is the hypothesis
- The variable 'r' is the conclusion
The converse will be;
r > t
Hence, the converse is r > t
Learn more about converse statement here:
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-5(r-1)
Do you need step by step
Answer:
f(x)= 6x+9....
Step-by-step explanation:
The given equation is:
y-6x-9=0
Add 6x+9 at both sides:
y-6x-9+6x+9=0+6x+9
Solve the like terms:
on the L.H.S -6x will be cancelled out by +6x and -9 will be cancelled out by +9
y=6x+9
Now convert it in function notation:
f(x)=y
f(x)= 6x+9....