Answer:
k = 3
Step-by-step explanation:
If the line passing through the points A (-1,3k) and B (k , 3) is parallel to the line whose equation is 2y+3x=9, then their slopes are equal
For coordinate AB;
slope m1 = 3 - 3k/k-(-1)
m1 = 3-3k/k+1
For the line 2y+3x = 9
2y = -3x + 9
y = -3/2 x + 9/2
Slope m2 = -3/2
Since m1 = m2
3-3k/k+1 = -3/2
Cross multiply
2(3-3k) = -3(k+1)
Expand
6 - 6k = -3k - 3
-6k+3k = -3 - 6
-3k = -9
k = -9/-3
k = 3
Hence the value of k is 3
Answer:
10 ft to nearest foot.
Step-by-step explanation:
We use the Pythagoras theorem:
12^2 = 6^2 + h^2 where h is the height on the barn
h^2 = 12^2 - 6^2
h^2 = 144 - 36 = 102
h= √108 = 10.39
Answer:
so his total pay for Saturday would be $104.50
Step-by-step explanation:
He works 5 hours at $11 per hour which gets a total of 55$
He also works 3 hours of overtime where he gets payed 1.5x pay
11 x 1.5 = 16.5 (10x1.5 = 15 1x1.5 = 1.5)
so he gets $16.5 per hour for 3 hours which = 49.5$
49.5 + 55 = $104.50
The person that is not living within their means is Ella who has maxed out all three of her credit cards but pays the minimum balance each month.
<h3>What does it mean when a person is living above their means?</h3>
If a person is living above their means, the person is spending more money than they have. A person living above their means would most likely borrow in order to afford their lifestyle. A person living above their means would have no amount of savings.
To learn more about credit cards, please check: brainly.com/question/14716152
103 stays because it is the whole number and the next number after the decimal is below 5.
103 is your answer.
