The coordinates of point P are (-3 , -6)
Step-by-step explanation:
If point (x , y) partitions line AB where A =
and B = 
at a ratio
from A then:
1. 
2. 
∵ P partitions AB in the ratio 3 : 4
∴
= 3 : 4
∵ A = (-9 , -9) and B = (5 , -2)
- Substitute the coordinates of points A and B in the rules above
∵ 
∴ 
∴ 
∴ x = -3
The x-coordinate of P is -3
∵ 
∴ 
∴ 
∴ y = -6
The y-coordinate of P is -6
The coordinates of point P are (-3 , -6)
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You can learn more about the mid-point of a segment in brainly.com/question/5223123
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1 foot on the north and south sides and 22,499 feet on the other two sides<span />
Answer:
$127.60
Step-by-step explanation:
If Lisa bought 30 shares of stock at $54.02 per share, total cost price will be:
30×$54.02
= $1620.6
If she then sold her shares at $58.19 per share, her total selling price will be:
30×$58.19
= $1745.7
Profit = selling price - cost price
Profit = $1745.7-$1620.6
Profit = $125.1
If her broker charges a 2% commission for all transactions, her total charge will be:
2% of $125.1
= $2.50
Her net gain = profit + broker's charge
= $125.1+$2.50
= $127.60
If this is for slope-intercept, the equation is: y = 3x + 1
To find the slope, you would find the rise over run (
). So, you would start where the graph intersect at the y-axis, which is 1. You would go up 3 times, and right 1 time. So,
, or 3, would be your slope. To find the y-intercept, you would need to find where the graph intersects at the y-axis, which is 1, so it would be your y-intercept. Plug them into the y = mx + b formula and the answer is <em>y = 3x + 1</em>.
If you have any further questions, please reach out to me :)