Answer:
A⊥X
Step-by-step explanation:
Since
A is perpendicular to Y
A⊥Y
And, X is parallel to Y
X || Y
Which means that they have the same slope (same inclination)
That implies that A must be also perpendicular to X
A⊥X
Answer:
ans=(-2,2)
Step-by-step explanation:
let the end point of circle diameter (-1,5) and (3,-1) be (x1,y1) and (x2,y2) respectively
using mid point formula
(x,y)=(-1,5)/2+(-3,-1)/2 [center point is equal to mid point of diameter)
= (-1+(-3))/2+(5-1)/2
=(-2,2)
center coordinate of circle=(-2,2)
I will rewrite the question for better understanding:
Ashley recently opened a store that uses only natural ingredients. She wants to advertise her products by distributing bags of samples in her neighborhood. It takes Ashley 2/3 of a minute to prepare one bag. It takes each of her friends 75% longer to prepare a bag. How many hours will it take Ashley and 4 of her friends to prepare 1575 bags of samples?
Answer:
- <em><u>5.3 hours</u></em>
Explanation:
<u>1) Time it takes Ashley to preprate one bag: </u>
<u>2) Time it takes each friend of Ashley: 75% more than 2/3 min</u>
- 75% × 2/3 min = 0.75 × 2/3 min = 3/4 × 2/3 min= 2/4 min = 1/2 min = 0.5 min
- 2/3 min + 1/2 min = 7/6 min
<u>3) Time it takes Ashley and the 4 friends working along to prepare one bag:</u>
- Convert each time into a rate, since you can set that the total rate of Ashley along with her four friends is equal to the sum of each rate:
- Rate of Ashley: 1 bag / (2/3) min = 3/2 bag/min
- Rate of each friend: 1 bag / (7/6) min = 6/7 bag/min
- Rate of Ashley and 4 friends = 3/2 bag/min + 4 × 6/7 bag/min = (3/2 +24/7) bag/min = 69/14 bag/min
<u>4) Time of prepare 1575 bags of samples:</u>
- time = number of bags / number of bags per min = 1,575 bags / (69/14) bags/min = 319.56 min
<u>5) Convert minutes to hours:</u>
- 356.56 min × 1 hour / 60 min = 5.3 hours
Answer:
7.58 miles on average per week
Step-by-step explanation:
It is the second one 2a +b over 4
