Answer:
Step-by-step explanation:
y = 3x + 2
Slope m = 3
slope of the line perpendicular to this line = -3
Point (3,5)
y- y1 = m(x-x1)
y - 5 = -3(x-3)
y - 5 = -3*x-3 * -3
y - 5 = -3x + 9
y = -3x + 9 +5
y = -3x + 14
Answer:
y = -1/2x + 2.5
Step-by-step explanation:
- slope of a perpendicular line is the negative reciprocal of the original slope (2 in this case) so y = -1/2 x + c
- to find c we substitute the values from the given point into the equation
(0) = -1/2*(5) + c
- rearrange and calculate and you'll get c = 5/2 or 2.5
- replace the value of c and now you've got y = -1/2x + 2.5
Answer:
(a) 2 degree celsius per hour
(b) 3 degree celsius per hour.
Step-by-step explanation:
From the question,
(a) Avearge rate of rise in temperature per hour(T') = Rise in temperature(T)/Time required for the rise(t).
T' = T/t.................... Euqation 1
Rise in temperature (T) = 4 degree celsius, t = 10.00 am to noon = 2 hours.
Substitute into equation 1
T' = 4/2
T' = 2 degree celsius per hour.
(b) Also,
Average rate of fall in temperature per hour (T') = Fall in temperature (T)/Time(t)
T' = T/t
Given: T = 6 degree celsius, t = 3:00 pm to 5:00 pm = 2 hours
T' = 6/2
T' = 3 degree celsius per hour
Answer:
There are now 6.5 ounces in the new bag.
Step-by-step explanation:
To solve this question, take 30% of 5 and add it to the original amount of 5
30% = 0.30
5 * 0.30 = 1.5
5 + 1.5 = 6.5 ounces of candy.
Hope this helps!
Answer:
At 6 p.m., the number of cars in a parking lot is 120
Step-by-step explanation:
At 1 p.m., the number of cars in a parking lot is 78.
Given,
Note that
So, 1 p.m. goes for n = 0, then
6 p.m. goes for n = 5
Thus,
