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Answer:
A. y=1/3x+1
Step-by-step explanation:
When finding a line that is perpendicular to another line, all you have to do is find the "opposite reciprocal" of the slope. In this case that means writing the slope as the fraction -3/1, and then flipping the fraction over (1/-3) and taking away the negative sign which gets you 1/3 for the slope of your new line. Now, all you have of your new equation is the slope. You need to take your new equation (y=1/3x+b) and plug in the x and y coordinates to that equation, and then solve for the last variable which is b. That solving process goes as follows:
3=1/3*6+b
3=2+b
1=b
now you can replace the b with 1 in your equation to get your final answer of y=1/3x+1
10. She isn't tall; that's why she can't reach that shelf.
11. They bought the cheapest computer because they didn't have any more money.
12. You eat too many sweets and that's the reason your clothes don't fit.
13. I went to sleep very late last night because I was so excited.
14. I don't know the answer, that's why I can't help you.
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Answer:
D) When 10 movies are streamed in a month; the total price that month is $28.
Step-by-step explanation:
Using the function definition, put 10 where you find m, then evaluate:
p(10) = 2(10) +8 = 20 +8
p(10) = 28
The function definition tells you this (28) is the price of streaming 10 movies in a month.
Answer:
76.16 kilograms of food
Step-by-step explanation:
Number of cyclist = 32
Food per cyclist = 8.33 kilograms
Days of the trip = 7 days
Food per cyclist per day = 8.33 kg / 7
= 1.19kg food per day for each cyclist
how many kilograms of food will the group be carrying at the end of Day 5?
5 days out of 7 days = 2 days
Each cyclist will have to carry = 2 × 1.19 kg of food for the remaining two days
= 2 × 1.19
= 2.38 kilograms of food for two days
32 cyclist for 2 days = 32 × 2.38 kg of food
= 76.16 kilograms of food
The group will be carrying 76.16 kilograms of food at the end of Day 5