Answer:
-x^2-2x-3
Step-by-step explanation:
- Question 1: Just substitute in the values of f(x) and g(x) and simplify!
- f(x) - g(x) = 4x^2-5x+3-(5x^2-3x+6)
- f(x)-g(x) = 4x^2-5x+3-5x^2+3x-6
- f(x)-g(x) = -x^2-2x-3
Tell me if this helps, and if you still need number 2 or if you can do it by yourself! (Hint: substituting also plays a role in question number 2.)
Hope this helps!!
For this problem, we can say that corresponding angles are congruent, or the same, this also means that their angle measures have to be the same. Then, our equations for our angles will be vertical angles, which means that they must equal each other. So we would then write our equation as 3x+20=4x+10 or 4x+10=3x+20. Then, to combine like terms, we will subtract 3x from both sides, resulting in x+10=20. Then we will subtract 10 from both sides, resulting in x=10.
Answer:
Length of longer length=132 inches
Length of shorter length=33 inches
Step-by-step explanation:
Step 1: Determine total length of pipe
Total length of pipe=165 inches
Step 2: Derive expression for all the lengths
We can express all these lengths as follows;
L=l1+l2
where;
L=total length
l1=length of longer piece
l2=length of shorter piece
but;
length of longer piece=4×length of shorter piece
replacing;
l1=4l2
replacing;
L=165
l1=4×l2
165=l 2+4 l2
5 l2=165
l2=165/5
l2=33 inches
l1=length of longer length=33×4=132 inches
l2=length of shorter length=33 inches
Answer:
y = 5x + 8
Explanation:
The slope is 5, and the y intercept is 8 so following the format of the equation, the equation for this line is:
y = 5x + 8