Answer:
(-7, -3)
Step-by-step explanation:
So the formula is (x, y) --> (-y, x) for a 90 degrees counterclockwise rotation.
To apply this formula to (-3,7), first identify which is the x-coordinate and which is the y-coordinate.
x-coordinate is -3 & y-coordinate is 7
Then you literally just substitute it into the formula like so:
(-y, x) -->(-(7), (-3)) --> (-7, -3)
Try to put parantheses around the coordinate when substituting to prevent confusion & incorrect negative signs.
Hope it helps and good luck (●'◡'●)
Answer: the price of a bottle of water is $1.5
Step-by-step explanation:
Let x represent the price of one pretzel.
Let y represent the price of one bottle of water.
At the shopping mall, Joaquin bought 4 pretzels and a bottle of water for 11.50. It means that
4x + y = 11.5- - - - - - - - - -1
Kelly bought 3 pretzels and a bottle of water for 9.00. It means that
3x + y = 9- - - - - - - - - - - - 2
Subtracting equation 2 from equation 1, it becomes
x = 2.5
Substituting x = 2.5 into equation 1, it becomes
4 × 2.5 + y = 11.5
10 + y = 11.5
y = 11.5 - 10
y = 1.5
It is 56 because of how it is expressed
Answer: 0.9147
Step-by-step explanation:
Step-by-step explanation:
Given : A manufacturer knows that their items have a normally distributed lifespan with
Let x be the random variable that represents the lifespan of items.
z-score :
For x= 9
Now by standard normal distribution table, the probability it will last longer than 9 years will be :-
Hence, the probability it will last longer than 9 years = 0.9147