Let, number of spiders = x
number of insects = y
6x + 8y = 36
remember, legs can't be in fraction or decimal.
So, only (3, 2) fits with that.
So, there are 3 spiders & 2 insects in his collection.
Hope this helps!
Answer:

Step-by-step explanation:
We are given that


y(0)=0
y'(0)=1
By comparing with

We get


q(x)=0
p(x),q(x) and g(x) are continuous for all real values of x except 3.
Interval on which p(x),q(x) and g(x) are continuous
and (3,
By unique existence theorem
Largest interval which contains 0=
Hence, the larges interval on which includes x=0 for which given initial value problem has unique solution=
Answer: A, Corresponding; Vertical
Step-by-step explanation: The answer for angles 1 and 5 are Corresponding Angles (Elevator Angles) and angles 1 and 4 are Vertical Angles.
All Angles besides a Linear Pair and Same-Side Interior Angle are Congruent.