The first few steps in solving the quadratic equation 9x2 + 49x = 22 − 5x by completing the square are shown. 9x2 + 49x = 22 − 5
2 answers:
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Answer:
Part A) The length of a straight line between the school and the Fire Station is
Part B) The length of a straight line between the school and the hospital is
Step-by-step explanation:
<u><em>The complete question in the attached figure</em></u>
Let
The positive x-coordinates ----> East
The positive y-coordinates ----> North
The negative x-coordinates ----> West
The negative y-coordinates ----> South
take the point A (0,0) as the Middle School (reference point)
Part A) we have
Town Hall is located 4.3 miles directly east of the Middle School
so
The coordinates of Town Hall are B(4.3,0)
The Fire Station is located 1.7 miles directly North of Town Hall
so
The coordinates of Fire Station are C(4.3,1.7)
What is the length of a straight line between the school and the Fire Station?
Remember that
the formula to calculate the distance between two points is equal to
we have
A(0,0) and C(4.3,1.7)
substitute
Part B) we have that
The hospital is 3.1 miles west of the fire station
so
The coordinates of the hospital are D(4.3-3.1,1.7)
D(1.2,1.7)
What is the length of a straight line between the school and the hospital?
Remember that
the formula to calculate the distance between two points is equal to
we have
A(0,0) and D(1.2,1.7)
substitute
Answer:
C.
Step-by-step explanation:
The ratio of the corresponding sides of a polygon is said to be equal. The ratio gives us the scale factor.
Therefore, assuming that quadrilateral QRST was the original polygon that was scaled up to give a similar polygon, EDGF, the scale factor would be expressed as
The scale factor =