Answer: 6
Step-by-step explanation: First you need to set both denominators equal. To do that you multiply 4 by 2 to get 8. Then you have to multiply the numerator by 2, so 2 times 3 equals 6.
Answer:
B
Step-by-step explanation:
Matches all specified equations.
Answer:
Each answer correct is 5 points so Doug got 40 points.
Step-by-step explanation:
First: the homogeneous solutions: the characteristic equation is4r^2 - 4r - 3 = 0which has roots r = 3/2, -1/2 hence the homogeneous solution isy = c1.exp(-x/2) + c2.exp(3x/2)
next you need the general form for the guess for yp and that isyp = A1cos(2x) + A2sin(2x)
Now substitute that into the equation and solve for A1, A2.
Answer:
A
Step-by-step explanation:
The line from the vertex to the base is a perpendicular bisector and divides the isosceles triangle into 2 right triangles.
Using Pythagoras' identity in either of the 2 right triangles, then
(
x )² + 3² = (
)²
x² + 9 = 45 ( subtract 9 from both sides )
x² = 36 ( multiply both sides by 4 to clear the fraction )
x² = 144 ( take the square root of both sides )
x = 
= 12 → A
