Answer:
Step-by-step explanation:
Mrs. Clements has a table with a top that is shaped like the trapezoid shown. Which expression can Mrs. Clements use to find the
1 answer:
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Well, their speeds are (
is Jack's speed, and 
is Richard's.
They, together, can paint 12 houses in 35 days. To get a single house, we only have to calculate
which is very close to 3 (a bit below)
They, together, can paint 12 houses in 35 days. To get a single house, we only have to calculate
Answer:
- (1,3) is inside the triangle
Step-by-step explanation:
Orthocenter is the intersection of altitudes.
We'll calculate the slopes of the two sides and their altitudes ad find the intersection.
<h3>Side QR</h3>- m = (3 - 5)/(4 - (-1)) = -2/5
<u>Perpendicular slope:</u>
- -1/m = 5/2
<u>Perpendicular line passes through S(-1, -2):</u>
- y - (-2) = 5/2(x - (-1)) ⇒ y = 5/2x + 1/2
- m = (-2 - 3)/(-1 -4) = -5/-5 = 1
<u>Perpendicular slope:</u>
- -1/m = -1/1 = -1
<u>Perpendicular line passes through Q(-1, 5):</u>
- y - 5 = -(x - (-1)) ⇒ y = -x + 4
The intersection of the two lines is the orthocenter.
<u>Solve the system of equations to get the coordinates of the orthocenter:</u>
- 5/2x + 1/2 = x + 4
- 5x + 1 = -2x + 8
- 7x = 7
- x = 1
<u>Find y-coordinate:</u>
- y = -1 + 4 = 3
The orthocenter is (1, 3)
If we plot the points, we'll see it is inside the triangle
A 3-for-1 stock split means that the number of shares is multiplied by 3,
and becomes 900 shares.
Cost of one share before split:
Cost of one share after split:
Cost of 100 shares before split:
Cost of 100 shares after split:
The above sale result in loss of:
and becomes 900 shares.
Cost of one share before split:
Cost of one share after split:
Cost of 100 shares before split:
Cost of 100 shares after split:
The above sale result in loss of: