Answer:
7.A (5,1)
B(5,7)
8. D (0,6)
Step-by-step explanation:
7. One vertex is at (5,4)
Move 3 units either direction in x
(5-3,4) = (2,4)
(5+3,4) = (8,4)
Or move 3 units in the y direction
(5,4+3) = (5,7)
(5,4-3) = (5,1)
If x is less than 2 or greater than 8 it is too far from the one vertex we are given
If y is less than 1 or greater than 7 it is too far away from the one vertex we are given
C cannot be a vertex since y =9
D is not a vertex since the point is (2,6) and not (2,4) which we know is 3 units away
E is not a vertex since the point is (2,1) and not (2,4) which we know is 3 units away
8. The center is (0,0)
The points have to add to a radius of 6
r^2 = 36
The sum of the x^2 and y^2 = 36
3^2 +0^2 = 9
4^2 +2^2 = 16+4 = 20
5^2 +3^2 = 25+9 = 34
0^2+6^2 =36 yes for D
4^2 +4^2 =16+16 = 32
1^2+5^2 = 26
C + b = 72......because the is a total of 72 cans and bottles
1c + 2b = 92.....because each can is worth $ 1 and each bottle is worth $ 2....c is the number of cans and b is the number of bottles...and she collected $ 92
so ur system is :
c + b = 72
1c + 2b = 92
Answer:
m = -1 (answer (a))
Step-by-step explanation:
Recall that the slope of a straight line is m = rise / run.
As we go from the point (0, -2) to the point (2, -4), we see an increase of 2 in x and a decrease of 2 in y.
Thus, the slope of this line is m = rise / run = 2/(-2), or m = -1 (answer (a))
The simplest form of
6
2
is
3
1
.
Steps to simplifying fractions
Find the GCD (or HCF) of numerator and denominator
GCD of 6 and 2 is 2
Divide both the numerator and denominator by the GCD
6 ÷ 2
2 ÷ 2
Reduced fraction:
3
1
Therefore, 6/2 simplified to lowest terms is 3/1.
