Answer:
Step-by-step explanation:
We are given that a differential equation
We have to find the general solution of given differential equation
Compare with
We get
I.F=
The total distance that Georgia walks is going to be the sum of the distances she walks on each day. On Monday, she walks 6 1/5 miles, or 6.2 miles. On Tuesday she walks 4.6 miles. On Wednesday, the trail is 10.8 miles long, but she doesn't walk 5 3/8, or 5.375 miles of it, which means on Wednesday she walks 5.425 miles. Add the distances together. 6.2+4.6+5.425=16.225 miles in total.
Answer:
Let's complete the square first.
y = x² + 6x + 3
= (x² + 6x + 9) - 6
= (x + 3)² - 6
Therefore, the vertex is (-3, -6) and since the coefficient of (x + 3)² is positive, the vertex is a minimum.
Answer:
Micheal is 17 years old.
Step-by-step explanation:
Answer:
Step-by-step explanation:
In all 30-60-90 triangles, the side lengths are in the ratio , where is the side opposite to the 30 degree angle and is the hypotenuse of the triangle. Since the side opposite to the 30 degree angle is marked as 3, the value of must be .
Alternatively, we can use basic trig. for a right triangle to solve. In any right triangle, the tangent of an angle is equal to its opposite side divided by its adjacent side. Thus, we have: