Answer:
15/2
Step-by-step explanation:
5 3/4 - 1/6x = 4 1/2
move the variable to it's own side.
5 3/4 - 4 1/2 = 1/6x
change the subtracting side to have common denominators
5 3/4 - 4 2/4 = 1/6x
1 1/4 = 1/6 x
divide both sides by 1/6, same thing as multiplying both sides by 6 (reciprocal)
30/4 = x
reduce: 15/2 = x
For this case we have that the point-slope equation of a line is given by:
Where:
m: It is the slope of the line
It is a point through which the line passes
In this case we have to:
Substituting in the equation we have:
Answer:
We just need to replace the value of the slope
First, Use the slope equation to find the slope of the line passing thru these two points:
m=rise/run
Here, the rise is 13-3, or 10, and the run is 7-2, or 5. Thus, the slope, m, is 10/5, or 2: m=2.
We want the slope-intercept form, so let's begin with its general form:
y=mx+b. Substitute the slope 2 for m: y=2x+b. Now choose either of the given points. Arbitrarily I am choosing (2,3). Then x=2 and y=3.
Substituting these values into y=2x+b: 3 = 2(2) + b, or b= 3 -4, or b = -1.
Then the equation of this line, in slope-intercept form, is y = 2x - 1.
Answer:
-54
Step-by-step explanation:
Answer:
5(a+4)
Step-by-step explanation:
expression is equivalent to 5a+20
To get the equivalent expression we need to factor the given expression
5a+ 20
5a can be written as 5 * a
20 can be written as 5*2*2
WE can see that common factor is 5 for both 5a and 20
So GCF is 5
Now we factor out GCF 5
WE put 5 outside and write all the left of factors inside the parenthesis
5a +20
5 (a+2*2)
5(a+4)
