Answer:
9x^2 -49
Step-by-step explanation:
We recognize that this is of the form
(a+b)(a-b) = a^2 - b^2
3x = a and 7 =b
(3x)^2 - 7^2
9x^2 -49
Answer:
Step-by-step explanation:
The general solution will be the sum of the complementary solution and the particular solution:
In order to find the complementary solution you need to solve:
Using the characteristic equation, we may have three cases:
Real roots:
Repeated roots:
Complex roots:
Hence:
Solving for :
Since we got complex roots, the complementary solution will be given by:
Now using undetermined coefficients, the particular solution is of the form:
Note: was multiplied by x to account for and in the complementary solution.
Find the second derivative of in order to find the constants and :
Substitute the particular solution into the differential equation:
Simplifying:
Equate the coefficients of and on both sides of the equation:
So:
Substitute the value of the constants into the particular equation:
Therefore, the general solution is:
Answer:
8.05 cups per loaf
Step-by-step explanation:
divide 64.4 and 8
equation
64.4÷8=8.05
Answer:
15.2 cm, 130 m
Step-by-step explanation:
1. The sine of angle Z is XY/17.4; (opposite/hypotenuse);
sin(61) = XY/17.4; multiply both sides by 17.4 to find XY
17.4sin(61) = 15.2 cm
2.
This triangle is made by the anchor of the balloon to the ground, the balloon, and the area on the ground directly below the balloon.
The hypotenuse of the triangle is the 170 m string.
The angle of inclination is 50 degrees.
The height of the triangle will be opposite of the angle of inclination.
Therefore,
sin(50) = height/170 (opposite/hypotenuse)
170sin(50) = 130.2 meters