Answer:
The coordinates of point R are (7,6), second option
Step-by-step explanation:
Coordinates of point R:
The coordinates of point R are , so (6,-7).
90° counterclockwise rule:
The rule for a rotation of 90º counterclockwise is given by:
(x,y) -> (-y,x)
What are the coordinates of point R?
(6,-7) -> (-(-7),6) = (7,6).
The coordinates of point R are (7,6), second option
Answer:
= 6, 9
Step-by-step explanation:
To find the midpoint , we use the formula
midpoint = (x1+x1)/2, (y1+y2)/2
= (2+10)/2, (6+12)/2
= 12/2, 18/2
= 6, 9
Answer:
709,067
Step-by-step explanation:
add them together from greatest to least
Answer: 17 nickels, and 8 dimes.
Step-by-step explanation:
So Miles has 25 coins in his pocket, Suppose that x is the number of nickels, and y is the number of dimes, then we have that:
x + y = 25
And we also know that the total value is $1.65
Then we have that:
x*0.05 + y*0.10 = 1.65
Then we have a system of equations:
x + y = 25
x*0.05 + y*0.10 = 1.65
The first step is isolating one of the variables in one of the equations, i will isolate x in the first one.
x = 25 - y
Now we can replace that in the second equation:
(25 - y)*0.05 + y*0.10 = 1.65
Now we solve this for y.
25*0.05 - y*0.05 + y*0.10 = 1.65
1.25 + y*(0.10 - 0.05) = 1.65
y*0.05 = 1.65 - 1.25 = 0.40
y = 0.40/0.05 = 8
So Miles has 8 dimes.
And:
x + y = 25
x + 8 = 25
x = 25 - 8 = 17
And Miles has 17 nickels.
