Answer:
Step-by-step explanation:
I assume you need help with the first picture:
Let 
Then

Clearly you can see that the sum of 2 rational numbers gives a rational number.
Yo sup??
let the number of pencils and pens be 8x and 14x
x=2
therefore the number of pens and pencils are
16 pencils and 28 pens
Hope this helps
Answer:
A because when you add the angles up it has to equal 180
Step-by-step explanation:
Answer:
x ∈ (-∞, -2) ∪ (2, ∞)
Step-by-step explanation:
To solve this problem we must factor the expression that is shown in the denominator of the inequality.
So, we have:

So the roots are:

Therefore we can write the expression in the following way:

Now the expression is as follows:

Now we use the study of signs to solve this inequality.
We have 3 roots for the polynomials that compose the expression:
.
Observe the attached image.
We know that the first two roots are not allowed because they make zero the denominator, we also know that (x + 5) ^ 2 is always positive because it is squared, so it is not necessary to include the numerator in the study of signs.
Note that:
when 
when 
Finally after the study of signs we can reach the conclusion that:
x ∈ (-∞, -2) ∪ (2, ∞)
Answer:
Step-by-step explanation:
first solve for y=mx+ b format
y-3= 1/2(x+2)
y-3= 1/2x+1
y= 1/2x+4
slope is 1/2; y-intercept is 4