18/20=27/x
18x=27*20
x=(27*20)/18=30
Answer: 30
Answer:
y = 2x - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = A(4, 7) and (x₂, y₂ ) = B(2, 3)
m = = = 2, thus
y = 2x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation.
Using B(2, 3), then
3 = 4 + c ⇒ c = 3 - 4 = - 1
y = 2x - 1 ← equation of line
Answer:
m∠1 = 24°
m∠3 = 66°
m∠6 = 66°
Step-by-step explanation:
They are all near the corners of the rectangle
The corners always equal 90°
But as you can see, they are split down the middle by the X in the rectangle and we have only one angle to go off of; 24°
Since m∠1 is in the same triangle as that angle, and it looks exactly the same, the angle is exactly the same.
m∠3 and m∠6, if you look closely, are also the same. And as I said before, the corners always are 90°. Since 24° is taken from the neighboring triangle, the amount left is 66°, and remember, 24° + x° HAS to equal EXACTLY 90°. So
90 - 24 = 66
So both m∠3 and m∠6 = 66°
The question is:
Consider the differential equation:
(1) Verify that the given functions form a fundamental set of solutions of the differential equation on the indicated interval. The functions satisfy the differential equation and are linearly independent since
(2) Form the general solution.
Answer:
(1) To verify if the given functions form a fundamental set of solutions to the differential equation, we find the Wronskian of the two functions.
The Wronskian of functions is given as
(2) The general solution may be expressed as a linear combination
Where are arbitrary constants.
The area of the figure is 806.
A= 806.5