Answer:
y = -1/2x+4
Step-by-step explanation:
y = 2x-1
This equation is in slope intercept form y = mx+b where m is the slope
m=2
A line perpendicular will have a slope that is the negative reciprocal
m = -1/2
Using the slope intercept form
y = mx+b
y = -1/2x+b
and the point given (2,3)
3 = -1/2(2)+b
3 = -1+b
4 =b
y = -1/2x+4 is the equation of a line that is perpendicular to the original line and contains (2,3)
Answer:
Step-by-step explanation:
2x² -x - 6 = 2x² - 4x + 3x - 3*2
= 2x*(x - 2) + 3*(x - 2)
= (x-2)(2x + 3)
A = 2x² -x - 6
A = (x - 2)(2x + 3)
length*width = (x - 2)(2x + 3)
length * (2x +3) = (x - 2)(2x + 3)
length = x - 2
Answer:A
Step-by-step explanation:
Answer:
4k - 8
Step-by-step explanation:
Lucy is k years old so we know k is an important part of this problem.
Sister 1 is 3 years younger, so she is k - 3 years old.
Sister 2 is 5 years less than twice Lucy's age therefore, she is 2k (twice Lucy's age) - 5 years old.
Now we have: k + (k - 3) + (2k - 5)
We can simplify like terms with the k's and get 4k. then we add (-3) and (-5) to get 4k - 8.
Hope this helps!
