Yes your answer is correct
The greatest common factor is the biggest number that divides evenly into each one of the numbers without a remainder...the only thing that's different about our situation is that we have variables in addition to regular number (but the same logic applies...we need to find the biggest variable that goes into k^4 , k^3 , and k^2 ).
The biggest number that goes into 15, 35 and 20 is the number 5. The biggest variable that goes into k^4 , k^3 , and k^2 is k^2
Combining the number and the variable, we get that the greatest common monomial factor is 5k^2
Since area is length x width, and we just figured out that width is 5k2 , all we have to do to find length is divide 15k4+35k3+20k2 by 5k2 , and we get that the length is 3k^2+7k+4
So the width is 5k^2 and the length is 3k2+7k+4
:))
-Eli
Answer:
18
Step-by-step explanation:
Since you know the perimeters are equal, write your equation.
x+6 + x+6 + x+6 = x + x+6 + 2x-6
combine like terms
3x + 18 = 4x
isolate your x by subtracting 3x from each side
18 = x
check your answer:
3x + 18 = 72
4x = 72
So a line that is perpendicular is a line that intercepts other line at a 90 degree angle.
Slope of perpendicular lines is the opposite sign and the reciprocal of the other.
So if your slope was 2 the perpendicular line would have a slope of -1/2.
So the equation, 2x + y = 3
Can be rewritten as
y= -2x+3
Perpendicular slope: 1/2
Since it intercepts/ passes the coordinates (5,4) it means that those values are included in the function input x and output y.
y=mx+b
4=1/2(5)+b
Solve for b (y intercept)
4-2.5=b
1.5=b
So the equation of the perpendicular is
y=1/2x+3/2 or y=.5x+1.5
1 and 4/5. there is a website called 'webmath' that can help with that!
