The number is 18.
In order to find this, we need to take each side and turn them into mathematics statements.
Five times the sum of a number and 3.
5(x + 3)
3 times the difference of twice the number and 1
3(2x - 1)
Now that we have these, we can set them equal to each other and solve.
5(x + 3) = 3(2x - 1) ----> Distribute
5x + 15 = 6x - 3 -----> Subtract 5x from both sides
15 = x - 3 -----> Add 3 to both sides
18 = x
Answer:
y = x + 1
Step-by-step explanation:
Slope: (1-2)/(0-1) = -1/-1 = 1
y-intercept: 1 - (-2)(0) = 1
y = x + 1
To find x, we have to use the pythagorean theorem.
a^2 + b^2 = c^2.
In our problem,
a = 3
b = ?
c = 6.5
(3)^2 + b^2 = (6.5)^2
Simplify the left and right side.
9 + b^2 = 42.25.
Subtract 9 from each side
b^2 = 33.25.
Take the square root of each side
b = 5.8.
Multiply 5.8 by two becuase 5.8 is the radius and we are looking for the diameter
x = 11.6
Answer: 140
Step-by-step explanation:
Answer:
Below in bold
Step-by-step explanation:
∫ dx / (x^2√(9-x^2))
Substitute x = 3sinu and dx = 3cosu du
then the √(9-x^2) = √( 9 - 9sin^2u) = 3 cos u and u = arcsin(x/3)
= 3 ∫(csc^2 u du )/ 27
= 1/9 ∫(csc^2 u du
= -1/9 cot u
= -√9-x^2) / 9x.