Answer:
(-4,2)
Step-by-step explanation:
when rotated about 180 degrees, you change both signs
Answer:
35 [$]
Step-by-step explanation:
1) if Peter's sum is p and Jacky's is j, then the ratio 5:2 in the condition can be written j/p=5/2;
2) the phrase 'after Jacky gave 15 dolls to Peter, they have an equal number of dolls' can be written as j-15=p;
3) using the two above it is possible to make up the system of two equations:

4) finally, the have together 10+25=35 doll-s.
Answer:
They made 4 forks and 6 spoons last April.
Step-by-step explanation:
Let forks they made in april be x and spoons be y.
To make 1 fork we need $2
To make 1 spoon we need $1
They sell 1 fork for $6 and 1 spoon for the same amount So,
now,
Turning it into two equations :-
(x = number of forks and y = number of spoons)
2x + 1y = 14
6x + 6y = 60
Now,
2x + y = 14
y = 14 - 2x
Now,
6x + 6y = 60
or, 6x + 6(14-2x) = 60
or, 6x + 84 - 12x = 60
or, -6x = -24
so, x = 4
Now,
y = 14 - 2x
or, y = 14 - 2×4
or, y = 14-8
so, y = 6
Answer:
The answer is C. 119.1
Step-by-step explanation:
The arch measure between Cole St. and Maple St. is 105 degrees which is equal to 7/24 of the circumference. since the diameter is given simply multiply the circumference by 7/24 which equals 285,887/2400. Divide these and you get your answer.
Answer:

Step-by-step explanation:
We want the equation of the line perpendicular to y=-3.
Notice that y=-3 is a horizontal line.
Therefore, in order to be perpendicular, our new equation must be vertical.
We know that it must pass through the point (2, -1).
Since it must be vertical, it must pass through the x-coordinate.
Therefore, our line must be:

It passes through (2, -1) and is a vertical line, so it’s perpendicular to y=-3.