Answer:
y=-1/4x+4
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(5-8)/(-4-(-16))
m=-3/(-4+16)
m=-3/12
m=-1/4
y-y1=m(x-x1)
y-8=-1/4(x-(-16))
y-8=-1/4(x+16)
y-8=-1/4x-16/4
y-8=-1/4x-4
y=-1/4x-4+8
y=-1/4x+4
Answer:
Carrie and Joan have 80 nickels and 40 dimes, respectively, and each one has an amount of money of 4 US dollars.
Step-by-step explanation:
Let be
and
the amounts of nickels and dimes that Carrie and Joan have, as
the total amount of money that both Carrie and Joan have. A nickel is a five cent coin and a dime is a ten cent coin.
The following equations are constructed after a careful reading on statement:
Carrie's amount of money:
(Eq. 1)
Joan's amount of money:
(Eq. 2)
Relation between amounts of coins:
(Eq. 3)
First we eliminate
by equalizing (Eq. 1) and (Eq. 2):

Then, we reduce the resulting formula by (Eq. 3):



And rest of variable are now determined:




Carrie and Joan have 80 nickels and 40 dimes, respectively, and each one has an amount of money of 4 US dollars.
Answer:
1.958 * 10^-5 seconds or 0.00001958 seconds.
Step-by-step explanation:
3740 = 3.74 * 10^3 in scientific notation.
Time = distance / speed.
= 3. 74 * 10^3 / 1.91 * 10^8
= 1.958 * 10^-5 seconds.
1x - 1y = 8
<u>1x + 2y = 2</u>
<u>-3y</u> = <u>6</u>
-3 -3
y = -2
x - (-2) = 8
x + 2 = 8
<u> - 2 - 2</u>
x = 6
(x, y) = (6, -2)
It would be (3,-2) because you have to negate the x value when you reflect over the y-axis<span />