Answer: His mom's age is 48
Step-by-step explanation: If his age is 1/4 his mother, then if we know his age, we do the opposite. Multiply his age by 4, we get 48.
Step-by-step explanation:

In this type of math equation, you have to multiply all members from the first part with the second part.
Expanded:

simplified:

Let
be the dimensions of the rectangle. We know the equations for both area and perimeter:


So, we have the following system:

From the second equation, we can deduce

Plug this in the first equation to get

Refactor as

And solve with the usual quadratic formula to get

Both solutions are feasible, because they're both positive.
If we chose the positive solution, we have

If we choose the negative solution, we have

So, we're just swapping the role of
and
. The two dimensions of the rectangle are
and 
Answer:
1. 0
2. undefined
3. -3/2
Step-by-step explanation:
y=-3/2. This value is constant and the x does not change the value at all. so the coordinate are going to be (x, -3/2) so if we take any 2 values you're going to get (-3/2 - (-3/2)) / (x2 - x1) = (-3/2 + 3/2) / (x2 - x1) = (0) / (x2 - x1) which is always going to be 0.
x=-3/2. This value is also constant except the x-value does not vary at all so x2 and x1 are always going to be equal which will result in a 0 as the denominator thus making the slope undefined
y=-3/2x. it's just -3/2 given the slope-intercept form y=mx+b where m is the slope
A equals 54
im thinking b equals 12 but i could be wrong
a is right though