Answer:
<em>Arielle has 374 grasshoppers and 187 crickets</em>
Step-by-step explanation:
Let's set:
x = number of grasshoppers
y = number of crickets
Arielle has a collection of 561 insects, thus:
x + y = 561 [1]
The number of grasshoppers is twice the number of crickets, thus:
x = 2y [2]
Substituting [2] in [1]:
2y + y = 561
Simplifying:
3y = 561
Dividing by 3:
y = 561/3
y = 187
From [2]:
x = 2*187 = 374
x = 374
Arielle has 374 grasshoppers and 187 crickets
Answer:

Step-by-step explanation:
Let's factor the numerator and denominator first.
x^2+5x-6 is a quadratic in the form of x^2+bx+c.
If you have a quadratic in the form of x^2+bx+c, all you have to do to factor is think of two numbers that multiply to be c and add to be b.
In this case multiplies to be -6 and adds to be 5.
Those numbers are 6 and -1 since -1(6)=-6 and -1+6=5.
So the factored form of x^2+5x-6 is (x-1)(x+6).
x^2+9x+18 is a quadratic in the form of x^2+bx+c as well.
So we need to find two numbers that multiply to be 18 and add to be 9.
These numbers are 6 and 3 since 6(3)=18 and 6+3=9.
So the factored form of x^2+9x+18 is (x+3)(x+6).
So we have that:

We can simplify this as long as x is not -6 as

I obtained the last line there by canceling out the common factor on top and bottom.
C, as they are on the same plane, (it is uncommon to find non co-planar lines)
D, as that symbol means parallel
A is untrue as they are on the same plane
B is untrue as that symbol means perpendicular
E is untrue as perpendicular means the two lines intersect and form 90 degree angles
F is untrue as parallel lines never intersect
Answer:
look at the attached image
Step-by-step explanation: