Given :
A function , x = 2cos t -3sin t .....equation 1.
A differential equation , x'' + x = 0 .....equation 2.
To Find :
Whether the given function is a solution to the given differential equation.
Solution :
First derivative of x :
Now , second derivative :
( Note : derivative of sin t is cos t and cos t is -sin t )
Putting value of x'' and x in equation 2 , we get :
=(-2cos t + 3sin t ) + ( 2cos t -3sin t )
= 0
So , x'' and x satisfy equation 2.
Therefore , x function is a solution of given differential equation .
Hence , this is the required solution .
The answer to your question is A. Y= -4x-9 because is you look at the pre written equation it shows that 4x is negative and that 9 is negative too. Also, if you rewrite an equation you have to isolate Y. Therefore A is the correct answer
One of the other angles will also be 35°.
Because the sum of all the angles will equal to 360, and two of the angles are 35° and 35+35 is 100, the sum of the last two angles will be 260 because 360-100 is 260.
This means that since the last 2 angles are the same and they add up to 260, you divide 260 by 2 to get 130.
This means the last two angles are 130°.
The measures of all the other angles are 35°, 130° and 130° again.
Answer: 49 cm² and 16 cm²
Step-by-step explanation:
1. If the triangles are similar and the ratio of the perimeter os 4:7, then the areas are in the following ratio:
2. You know that the sum of their areas is 65 cm², then, you can calculate the area of the larger triangle as following:
3. The area of the smaller triangle is:
Wouldn't your answer be A because it is 40% which is 0.4 as a decimal?
