Answer:
C. -2
Step-by-step explanation:
To find the slope of the line we take two points
((0,1) and (2, -3)
and use the formula for slope
m= (y2-y1)/ (x2-x1)
= (-3-1)/(2-0)
= -4/2
= -2
Answer:
Step-by-step explanation:
total money = $2.25 = 225 cents
types of denomination in coins or cents are dimes and nickels
dime = 10 cents , nickel = 5 cents
twice of dimes to nickels
let no of dimes = x and no of nickels = y
our equation
10x + 5y = 225
x = 2y
10(2y) + 5y = 225
20y +5y = 225
25 y = 225
y=9
x =2y 2x9 = 18
so the number of dimes = 18 and nickels = 9
cross verification:
10x18 + 5x9 = 180 +45 = 225
Answer:
There is no chance of rolling an 8
I hope this helps you. Let me know if I did this correctly.
Answer:
-3
Step-by-step explanation:
3/(3 - 12i)
To simplify this, multiply both sides by (3 + 12i)
(3 - 12i)(3 + 12i)
<em><u>Distributive property.</u></em>
3(3 + 12i) - 12i(3 + 12i)
9 + 36i - 36i - 144i^2
<em><u>Simplify.</u></em>
9 - 144i^2
i^2 can be interpreted as -1.
9 + 144
<em><u>Combine like terms.</u></em>
153 is the simplified version of the bottom half of the expression.
Now for the top half.
3(3 + 12i)
<em><u>Distributive property.</u></em>
9 + 36i
We can simplify this further by factoring.
3(3 + 12i)/153
1 + 4i/17
1/17 + 4i/17 is the simplified version of the expression. (This is your answer.)
Let me know if you have any other questions.
