chris has 3 1/2 boxes of tomatoes at his restaurant he uses 1 3/4 boxes to make tomato sauce for tonight's dinner. How many boxe
s of tomatoes does chris have left over?
2 answers:
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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
we need to find the probability of bad sound cards.
we are having 1000 computers so 1000 sound card will be there.
manager found that 4 sounds are defective out of 1000 sound cards.
of defective sound cards=
we know that 1 is the total probability.out of 0.004 is the failure.
Adding we get
Option C 4 StartRoot 2 EndRoot i is correct.
Step-by-step explanation:
We need to find the sum of:
Finding sum:
can be written as
can be written as
We know 18 = 2x3x3 = 2x3^2 so,
Adding like terms:
So, adding we get
Option C 4 StartRoot 2 EndRoot i is correct.
Keywords: Square root expressions
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