Answer:
y = -x - 8
Step-by-step explanation:
Midpoint of the line:
x = (x1 + x2)/2 = (-8 + -4)/2 = -12/2 = -6
y = (y1 + y2)/2 = (-5 + 1)/2 = -4/2 = -2
so midpoint is (-6,-2)
Slope of the line: Slope m = (y2-y1)/(x2-x1)
m = (-1 - -5)/(-4 - -8) = (-1 + 5)/(-4 + 8) = 4/4 = 1
Perpendicular lines have slopes that are negative reciprocals of one another
so slope of the perpendicular line is -1/1 is -1
y = mx + b
y = -x + b
Using (-6,-2)
-2 = -(-6) + b
-2 = 6 + b
b = -8
so y = -x - 8
Answer:
12 fives and 18 tens
Step-by-step explanation:
solving this we need 2 different equations
one for he total bills and one for the total money
x+y=30
that is total bills
5x+10y=240
combining both equations we can use elimination method and get
12 five dollar bills and 18 ten dollar bills
Answer:
Step-by-step explanation:
The average car manufactured in the United states in 2001 could drive 24.5 miles on 1 car gallon of gas. To find the number of yards the car can travel on gallon of gas, we would convert 24.5 miles.
1 mile = 1760 yards
24.5 miles = 24.5 × 1760
= 43120 yards
Therefore, the car drives 43120 yards on 1 gallon of gas.
A prime number is a number that has only two factors: 1 and itself
For example, the number 7 has two factors: 1,7 This makes 7 a prime number
Since the number has to be greater than 50, we can go to the next whole number; 51
51 has four factors, 1,3,17,51 This is not our prime number
52 is even so obviously it's not prime because you can divide by two
53 has only two factors; 1,53 This means that its prime and the answer is 53 :)
If you have any questions feel free to ask
