Answer:
Yes, it is
Step-by-step explanation:
Given
The attached image
Required
Is AB a tangent to the circle
From the attached circle, we can see that AP is the radius of the circle P.
And by definition, a tangent touches the circle at only one point.
Since AB touches the circle at only point A, then AB is a tangent.
1st Side: 8
2nd Side: 2x - 1
3rd Side: x
(8) + (2x - 1) > x (2x - 1) + x > 8 (x) + (8) > 2x - 1
2x + 7 > x 3x - 1 > 8 8 > x - 1
2x > -7 3x > 9 9 > x
x > -3.5 (disregard) x > 3 x < 9
3rd Side: x ⇒ (3 < x < 9)
2nd Side: 2x - 1 ⇒ 2(3) - 1 < x < 2(9) - 1 ⇒ 5 < x < 17
Answer: the 3rd side must be between 3 and 9, the 2nd side must be between 5 and 17
Step-by-step explanation:
y = kx, where k is a real constant.
When y = 12, x = 5.
=> (12) = (5)k, k = 2.4.
Therefore when y = 30,
x = y/k = (30)/(2.4) = 12.5.
The answer is 12.5.
Answer:
1. 9 minutes
Step-by-step explanation:
1. If she runs 5 miles in 45 minutes, you have 5 miles = 45 minutes. If you divide both sides of this ratio by 5, you get 1 miles = 9 minutes
2. Find out how many each person sells per week:
Emily: 4 boxes = 2 weeks
divide both sides by 2
2 boxes = 1 week
Jose: 9 boxes = 3 weeks
divide both sides by 3
3 boxes = 1 week
This means that jose sells more, because 3 boxes > 2 boxes
Since you have to distribute both numbers, you'll end up with x^2-3x+4x-12 then simplify and it is x^2+x-12
