Answer:
Step-by-step explanation:
1/x - 7/104 = 3/52
1/x = 6/104 + 7/104 = 13/104
104/13 = x
Answer:
[0,12]
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
I drew it out on a piece of paper. R is going up and down, through PQ, which is going left to right. If the ratio is 1:3, that means that for every 1 unit there is on one side, there are 3 units in the other. If R is -1 and P is -3, they are two numbers away from each other, which means that on the other side of R (to the right of R), there needs to be 6 numbers in between to make the 1:3 ratio. R is at -1, so then you would write the equation, -1+6=? The answer is 5.
-1+6=5 That is where Q would be
The inverse is y = (5/y)^2
You can get this by switching the x and y values and then solving for your new y.
x = 5/sqrt(y) ----> Multiply both sides by sqrt(y)
sqrt(y)*x = 5 ---> divide both sides by x
sqrt(y) = 5/x ---> square both sides
y = (5/x)^2
21.6 units
Calculate the length of the 2 inclined sides using the distance formula
d = √(x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 3, 3 ) and (x₂, y₂ ) = (3, 4 )
d = √(3 + 3 )² + (4 - 3)² = √(36 + 1 ) = √37
repeat for (x₁, y₁ ) = (- 3, 3 ) and (x₂, y₂ ) = (3, - 3 )
d = √(3 + 3 )² + (- 3 - 3 )² = √(36 + 36 ) = √72
the vertical side has a length of 7 units
perimeter = √37 + √72 + 7 = 21.6 ( nearest tenth of a unit )