Answer: The radius of this circle is 0.5
Step-by-step explanation:
We have a circle that passes through the point (0, 0.5)
We do not know the center of the circle, so we have infinite possible radius to answer this, but let's suppose that the center of the circle is in the point (0, 0)
For a circle centered in the origin, we have the equation:
x^2 + y^2 = r^2
Where r is the radius.
Here we have that x = 0 and y = 0.5
then:
0^2 + (0.5)^2 = r^2
0.5^2 = r^2
r = 0.5
The radius of this circle is 0.5
Answer: The height of each fir tree is 9 meters, and the height of each pine tree is 12 meters.
Step-by-step explanation:
Let x= height of each fir tree, y = height of each pine tree.
As per given, we have
x+y = 21 (i)
4x=y+24 (ii)
From (ii),
(iii)
Add (i) and (iii), we get

Put value of x in (i), we get

Hence, the height of each fir tree is 9 meters, and the height of each pine tree is 12 meters.
Answer:
Step-by-step explanation:
Let length = y width = x
y = 3x + 2
Perimeter = Sum of all sides (or sum of both lengths and both widths)
2y + 2x
2(3x + 2) + 2x
6x + 4 + 2x
8x + 4
Answer:
part C. 3x + 2y <u>< </u>30, 5x + 7y <u><</u> 105
Step-by-step explanation:
Part 1:
spends 3 hours making each type X (3x)-each type x will take 3 hours so as the number of type x increases, the hours will increase by 3.
spends 2 hours making each type Y (2y)-each type y will take 2 hours so as the number of type y increases, the hours will increase by 2.
Part 2:
he can spend up to 30 hours each week making carvings. (<u><</u>30)-because he cannot spend more than 30 hours
Therefore, He has to spend 30 hours or less to make type X and type Y.
3x + 2y <u>< </u>30
Part 3:
His materials cost him $5 for each type X carving. (5x)-each type x will take $5 so as the number of type x increases, the cost will increase by 5.
His materials cost him $7 for each type Y carving, (7y)-each type y will take $7 so as the number of type y increases, the cost will increase by 7.
Part 4:
he must keep his weekly cost for materials to $105 or less (<u><</u>105)-total cost cannot be more than $105.
Therefore, the total cost of making x and y should be $105 or less.
5x + 7y <u><</u> 105
!!
The answer is -5, -5 added by 5 cancels each other out. Then when you add 4x + 8x, you get 12x. So when you do 12x= -60, you get -5.