ANSWER

EXPLANATION
The line given to us has equation,

We need to write this equation in the slope intercept form to obtain,


The slope of this line is

Let the slope of the perpendicular line be

Then


This implies that,


Let the equation of the perpendicular line be,

We substitute the slope to get,

Since this line passes through

it must satisfy its equation.
This means that,




Wherefore the slope-intercept form is
Answer:
The answer is 31 pennies
Step-by-step explanation:
we have to find a number that gives a remainder of 1 when divided by both 2, 3 and 5.
The easiest way to do this is to list the factors of 5, add 1 to it, and test them until we find the one with a remainder of 1 by all three divisors. This is done as follows:
1) factor: 5 (+1) = 6
6 ÷ 2 = 3 remainder 0
6 ÷ 3 = 2 remainder 0
since there is a remainder of 0, when divided by 3, 6 is wrong
2) factor; 10 (+1) = 11
11 ÷ 3 = 3 remainder 2 ( 11 is not the correct answer
3) factor : 15 (+1) = 16
16 ÷ 2 = 8 remainder 0 ( 16 is not the correct answer
4) factor : 20(+1) = 21
21 ÷ 3 = 7 remainder 0 ( 21 is wrong)
5) factor : 25(+1) = 26
26 ÷ 2 = 13 remainder 0 ( 26 is wrong)
6) factor : 30(+1) = 31
31 ÷ 2 = 15 Remainder 1
31 ÷ 3 = 10 Remainder 1
31 ÷ 5 = 6 Remainder 1
since all three divisors give a remainder of 1, the correct answer is 31
Therefore you have 31 pwnnies
Answer:
x = 13
y = 8
Step-by-step explanation:
Answer:
nth term = 7n - 2
Step-by-step explanation:
a = first term = 5
d = common difference = second term - first term
= 12 - 5 =7
d = 7
a + (n-1)d
= 5 + (n -1)7
= 5 + 7n - 7 {add like terms}
= 7n - 2