Answer:
x = 4/3
y = 1/3
Step-by-step explanation:
System of equations! This is set up really well to make the second equation equal x then substitute.
x - y = 1
x = 1 + y
and then our substitution:
2 (1+y) + y = 3
and solve:
2 + 2y + y = 3
3y + 2 = 3
3y = 1
y = 1/3
And now we can substitute that value into one of our equations:
x - (1/3) = 1
x = 4/3
Next we should check by substituting these values into both of our equations:
2 (4/3) + (1/3) = 3
9 / 3 does equal 3 !
(4/3) - (1/3) does equal 1 !
Therefore, x = 4/3 , and y = 1/3
Answer:
C.)
Step-by-step explanation:
The graph is positive this time, so right away you can eliminate A and B.
If y=2x, the graph would be much steeper so the answer is C.) you can also check by graphing it in desmos.
Answer:
31.4 in
Step-by-step explanation:
the formula for circumference is 2*
*radius. Since the diameter (which is the radius multiplied by 2) is labeled we can divide 10 by 2 to get the radius. 10/2 is 5. Since pi is an infinite number, we round it to 3.14. Then, plug in the numbers. The expression will be 2*3.14*5. 2* = 10 and 10 * 3.14 you can just move the decimal so the answer is 31.4.
Answer:
first one:
Area of a circle = π*r²
diameter (they gave) = 30ft
radius = diameter/2 = 15ft
π*15²= 706.85834705770347865409476123789
to nearest tenth= 706.9 ft
second question:
circumference = 2*π*r or d(diameter)*π
diameter = 30ft
30*π = circumference = 94.247779607693797153879301498385
in terms of π = 30π
Answer:
The height of the prism is 
Step-by-step explanation:
we know that
The volume of the rectangular prism is equal to
In this problem we have
substitute in the formula and solve for H
![H=5,376/[(14)(16)]](https://tex.z-dn.net/?f=H%3D5%2C376%2F%5B%2814%29%2816%29%5D)
