Answer:
Undefined
Step-by-step explanation:
First, slope is change in y over change in x, or rise over run. Plugging these points in (y1-y2)/(x1-x2)=(2-8)/(-6--6), or -6/0. Oh no! You can't divide by 0. Therefore, the slope is undefined.
You can also see this by graphing the line, which is a straight vertical line. Vertical lines have undefined slopes.
Answer:
measure it bro lol
Step-by-step explanation:
Answer:
14. x=-2.5, y = -7
15. x=28 y = -20
Step-by-step explanation:
14. Let's solve this system by elimination. Multiply the first equation by -1.
-1*(4x-y)= -1*(- 3)
-4x +y = 3
Then add this to the second equation.
-4x+y = 3
6x-y= - 8
--------------
2x = -5
Divide each side by 2
x = -2.5
We still need to find y
-4x+y =3
-4(-2.5) + y =3
10 +y =3
Subtract 10 from each side.
y = 3-10
y = -7
15.I will again use elimination to solve this system, because using substitution will give me fractions which are harder to work with. I will elimiate the y variable. Multiply the first equation by 11
11(
5x+6y)= 11*20
55x+66y = 220
Multiply the second equation by -6
-6(9x+11y)=32*(-6)
-54x-66y = -192
Add the modified equations together.
55x+66y = 220
-54x-66y = -192
---------------------------
x = 28
We still need to solve for y
5x+6y = 20
5*28 + 6y =20
140 + 6y = 20
Subtract 140 from each side
6y = -120
Divide by 6
y = -20
Answer:
x = 10
Step-by-step explanation:
Since L is the midpoint
KL = LM
2x-3 = x+7
Subtract x from each side
2x-3-x = x+7-x
x-3 = 7
Add 3 to each side
x-3+3 = 7+3
x = 10
Answer:
Step-by-step explanation:
Given that EM company produces two types of laptop computer bags.
Let regular version produced be R and deluxe version be D
Total capital required
=
Total labor hours required
=
Sales revenue =
Solving the two constraints we have
10D 140
D can be atmost 14 and hence R can be 49
Otherwise if D is made 0, R = 65 maximum
If R is made 0, D maximum is 46
Thus corner points are (65,0) (0.,46) or (49,14)
Sales revenue for (65,0) = 2990
(0,46) is 2530
(49,14) is 3024
Maximum when R =14 and D is 49