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)
The algebraic equation is 4(0.25)+2x=17
STEP 1: Simplify both sides of the equation
1+2x=17 or 2x+1
STEP 2: Subtract both sides
2x = 16
STEP 3: Divide both sides by 2
2x/2 = 16/2
x = 8
Molly purchased 8 books last month
Answer:
- P(x < 84) = 0.3085 or approximately 31%
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<em>Hello to you from Brainly team!</em>
<h3>Given</h3>
- Mean grade μ = 86,
- Standard deviation σ = 4,
- Grade limit x = 84.
<h3>To find </h3>
- Probability of that a randomly selected grade is less than 84 or P(x < 84).
<h3>Solution</h3>
Find z-score using relevant equation:
Substitute values and calculate:
Using the z-score table find the corresponding P- value.
- P(x < 84) = 0.30854 or approximately 31%
Answer:
10 degrees
Step-by-step explanation:
(5x(10))+3=53 degrees
(3x(10))+7=37 degrees
53+37=90 degrees
Answer:
-11x +3y + 25
Step-by-step explanation:
7-8x+4y+18-3x-y
= -8x-3x +4y-y +18+7 (putting like terms together)
= -11x +3y + 25 (Adding like terms)
