At east school, each of the 45 classrooms has an average of 22 students. At west school, each of the 42 classrooms has an averag
2 answers:
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The line segment AB is divided at point P, which has coordinates P(0,-7.5)
A line segment is a section of a line that connects two locations to create a straight line or we can say that is connects two distinct points together to form a single line. It is extendable to either side.
Given are,
A line segment AB with coordinates of A(0,0 ) and B(-15,0) respectively
Two minor line segments, AP and PB, are created from the line segment AB by the provided point P
We must determine the dividing point's coordinates, or P.
We'll apply the formula provided,
The coordinates of the point P are given by = (,
)
Now, x1 = 0, x2 = 0, y1 = -15, y2 = 0
Putting values in the formula, we get
(,
)
(0,-7.5)
Hence, the point P which partitions the line segment AB have coordinates as P(0,-7.5)
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Answer:
m<E =
Step-by-step explanation:
From the diagram, ΔACE and ΔBDE are similar. So that comparing its angles, we have;
(8x + 4) = (9x - 5)
8x + 4 = 9x - 5
5 + 4 = 9x - 8x
x = 9
Thus,
(8x + 4) = 8(9) + 4 = 76
(9x - 5) = 9(9) - 5 = 76
3x = 3(9) = 27
From ΔACE,
3x + (8x + 4) + m<E = 180 (sum of angles in a triangle)
27 + 76 + m<E = 180
m<E = 180 - 103
m<E =
Answer:
Pat a) The unit rate of graph at left is
Part b) The unit rate of graph at right is
see the attached figure
Step-by-step explanation:
we know that
The unit rate of a linear equation is the same that the slope of the linear equation
step 1
Find the slope of the graph at left
This graph represent a proportional relationship (because the line passes through the origin)
The slope is equal to the constant of proportionality k
we have the point (1,25)
substitute the values in the formula
step 2
Find the slope of the graph at right
we have the points (2,80) and (3,120)
This graph represent a proportional relationship (because the line passes through the origin)
The slope is equal to the constant of proportionality k
Is necessary only one point to determine the constant of proportionality
take the point (2,80)
substitute the values
<u>Verify</u>
The formula to calculate the slope between two points is equal to
we have the points (2,80) and (3,120)
substitute the values
