Check the picture below.
recall that the area of a triangle is (1/2)bh.
The partitions involves dividing the line into subsegments
The coordinate of the point on the directed line segment is (0.5,-2)
<h3>How to partition the line?</h3>
The given parameters are:-
line segment = (-1, -1) to (5,-5)
Segment ratio = 1 : 3
The coordinates of the partition is calculated as:
Substitute known values
Evaluate the products
Evaluate the quotients
Hence, the coordinate of the partition is (x,y) = (0.5,-2)
Read more about line partitions at:
brainly.com/question/12959377
Answer:
15 grams
Step-by-step explanation:
If the copper made up 80% of the weight of the bar (w), then the bar weighed ...
0.80w = 12 g
w = (12 g)/0.80 = 15 g
_____
Copper has a density of about 8.96 g/cm³, so Nancy's "large" metal bar is about the size of two sugar cubes.
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Using the magic of algebra!:
The time each train goes in 1 hour will be represented as a / b.
b is 30 more than a, so if we add 30 to a it should equal b.
a + 30 = b
In three hours, the trains are 330 miles apart.
Esentially, we're adding up the distance each train goes from the starting point to find the distance between them.
3b + 3a = 330
Now we have a system of equations to solve.
a + 30 = b
3b + 3a = 330
We want to get the variables on seperate sides of the equation for easy solving.
a + 30 = b
3b = 330 - 3a
Then get the value of the one variable the same so we can use the transitive property.
a + 30 = b
b = 110 - a
a + 30 = 110 - a
2a + 30 = 110
2a = 80
a = 40 mph
(And thus b = 70 mph)
