Here we can first find the area of yard and then subtract the area of vegetable garden to get the required area.
The formula to find area is given by:
Now we find area of yard:
length is 25 ft and width is 15 ft.
Area of yard = 375 ft²
Area of vegetable garden:
length = 8ft and width =8ft
So the vegetable garden is a square.
Area = 8*8
Area of vegetable garden =64 ft²
Area of backyard to be laid with grass = Area of yard-Area of vegetable garden
Area required = 375 -64 = 311 ft²
Answer : The area of backyard in which grass is to be laid is 311 square feet.
Answer:
yes
Step-by-step explanation:
We are given that a Cauchy Euler's equation
where t is not equal to zero
We are given that two solutions of given Cauchy Euler's equation are t,t ln t
We have to find the solutions are independent or dependent.
To find the solutions are independent or dependent we use wronskain
If wrosnkian is not equal to zero then solutions are dependent and if wronskian is zero then the set of solution is independent.
Let 
where t is not equal to zero.
Hence,the wronskian is not equal to zero .Therefore, the set of solutions is independent.
Hence, the set {t , tln t} form a fundamental set of solutions for given equation.
Answer:
The coordinates of the intersection of two lines on a graph represent the values of <u>x</u> and <u>y</u> when you solve the system of equation.
Step-by-step explanation:
Answer:
3p² + 32p + 13
Step-by-step explanation:
Okay, so lets first solve for 2b. 2b = 2(p + 5), which is equal to 2p + 10. Now, let's solve for 3a. 3a = 3(p² + 10p +1), simplifying to 3p² + 30p +3. After adding 2b and 3a, we are able to get 2p + 10 + 3p² + 30p + 3 = 3p² + 32p + 13
