Answer:
p = 2
n = 14
m = 3
Step-by-step explanation:
In order to be able combine (either add or subtract) rational expressions we need to write them with a common (similar) denominator. For that reason we first find the Least Common Denominator of both fractions, that way understanding how to express the two fractions using equivalent fractions with like denominator that can be combined.
We see that the denominator of the first fraction contains the factor "x", therefore "x" has to be a factor of that least common denominator.
We also see that the second fraction contains "2" as a factor, therefore 2 has to be a factor as well for our Least Common Denominator (LCD)
So the LCD we need is the product: 2*x which we write as 2x.
Now we write the first fraction as an equivalent one but with denominator "2x" by multiplying top and bottom by 2 (and thus not changing the actual value of the fraction): 
Next we do the same with the second fraction, this time multiplying top and bottom by the factor "x":
Now that both fractions are written showing the same denominator , we can combine them as indicated:
This expression gives as then the values for the requested coefficients.
p = 2
n = 14
m = 3
From 6,1 to 7,4
We can determine the slope of the line
rise/run
3/1=3
Now we know the slope of the line, a line parallel to it must obtain the same slope, therefore, I tried to see if the increase in y is three times the increase in x
I found the true pair to be A
(-4,1) and (-2,7)
Step-by-step explanation:
you did not even try a calculator to find the result ?
64 is 8×8 or 8².
so, sqrt(64) = 8.
similarly for 4 :
4 is 2×2 or 2².
so, sqrt(4) = 2
so,
sqrt(64)/ sqrt(4) = 8 / 2 = 4
so, d. is the right answer.
Answer:
6x +19
Step-by-step explanation:
6(x +2) +7
distribute the 6 (multiply 6*x and 6*2)
6x + 12
add the 7 to the 12
=6x + 19
I can use the angle and the length of JH to find the length of IJ.
To do this, I look at the relationship IJ and JH have to the 52 degree angle. JH is opposite to angle I, and IJ is adjacent to angle I. Because the two side lengths are opposite and adjacent, I use the tangent function to solve this.
Tangent of an angle = the length of the opposite side / the length of the adjacent side. This is just another way to say tan(x)=opposite/adjacent
Now I can fill in what I know...
tan(52)=4.2/x
Now, I want to isolate x.
tan(52) = 4.2/x
x(tan(52))=4.2
x=4.2/tan(52)
Now I put 4.2/tan(52) into a calculator and get x = 3.3 ft
Hope this helps!
