Answer:
(3,-7)
Step-by-step explanation:
Midpoint Formula
(3,-9) = ((3+x)/2 , (-11+x)/2)
Solve for x coordinate
Solve for y coordinate
Therefore point s is (3, -7)
John is 78 1/2 years old and his sister is 73 1/2 years old
Answer:
9 quarters, 12 nickels, and 15 dimes.
Step-by-step explanation:
Let's start by naming the number of quarters x.
That means that the number of nickels is x+3.
(There are three fewer quarters than nickels)
The number of dimes would be x+6.
(There are six more dimes than quarters)
We know the total number of coins is 36.
We can set up an equation.
quarters+nickels+dimes=36
x+x+3+x+6=36
Combine like terms.
3x+9=36
Subtract 9 from both sides.
3x=27
Divide both sides by 3.
x=9
There are 9 quarters.
Use given info to find the number of other coins.
9+3=12
There are 12 nickels.
9+6=15
There are 15 dimes.
Step-by-step explanation:
Pythagoras : the lengths are the hypotenuses of the right-angled triangles created by the differences of the x and the y coordinates.
so,
AB² = (0 - -3)² + (2 - 8)² = 3² + (-6)² = 9 + 36 = 45
AB = sqrt(45) ≈ 6.7
CD² = (-2 - 0)² + (2 - -4)² = (-2)² + 6² = 4 + 36 = 40
CD = sqrt(40) ≈ 6.3
Answer. 100= 10x+ 12
Explanation. 100 represents the total money from mowing lawns after (x) jobs. x represents the amount of lawns he mows. Finally, 12 represents the amount of money he has regardless of how many lawns he mows. I hope this helps, let me know if it’s correct so others can use it :)
Good luck.
