Answer:
k = -3/4
Step-by-step explanation:
The lines will be parallel if their slopes are equal. To find the slope of each line, write its equation in slope-intercept form (y = mx + b). In other words, solve each equation for y and look at the coefficient of x.
2x + 3y = 4k
3y = -2x + 4k
y = (-2/3)x + 4k/3
The slope of the first line is -2/3.
x - 2ky = 7
-2ky = -x + 7
y = [1/(2k)]x - 7/(2k)
The slope of the second line is 1/(2k).
If the slopes are equal, then
1/(2k) = -2/3
Multiply by 2k.
1 = (-2/3)(2k) = (-4/3)k
1 = (-4/3)k
k = -3/4
Answer:
t=4
Step-by-step explanation:
Use the distributive property first on the left side (multiply 2 by t and 2 by 1). This leaves you with 2t+2=10. Then you just have a multistep equation. Subtract 2 from both sides (2 cancels out on the left side and you are left with 8 on the right side). Equation now looks like 2t=8. Then, you divide by 2 on both sides to isolate the t and you get 4.
X=11 y=4 :) i need 20 characters so im randomly typing
Answer:
6 pounds 8 ounces
Step-by-step explanation:
The median of an even number of numbers is the average of the middle two when sorted into numerical order. Here, that is the average ...
((6 pounds 4 ounces) + (6 pounds 12 ounces))/2 = 6 pounds 8 ounces