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1 answer:
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Answer:
Translate 2 units upward
Step-by-step explanation:
See attachment for the functions
Required
Determine the change in f(x) that gives the dashed line
From the attachment, there is only one transformation from f(x) to the dashed line.
The transformation is a translation of 2 units, upward.
Let the dashed line be g(x)
g(x) will be:
Substitute for f(x)
Question:
ABCD is a trapezium in which AB ∥ CD, AD ⊥ DC, AB = 4 cm, BP = 7 cm and DC = 25 cm, then area of the trapezium is ____.
Answer:
101.5cm²
Step-by-step explanation:
The figure for the trapezium ABCD is attached to this response.
To find the area of the trapezium, we use the formula for calculating the area of a trapezium given as follows;
A = x (a + b) x h ------------------(i)
Where;
A = area of the trapezium
a and b are the parallel sides of the trapezium
h = height of the trapezium.
As shown in the figure,
<em>AB and CD are parallel</em>
Therefore, we can say that;
a = AB
b = CD
Also, from the figure,
<em>The height of the trapezium is BP</em>
Therefore, we can say that;
h = BP
We know that;
a = AB = 4cm
b = CD = 25cm
h = BP = 7cm
Substitute these values of a, b and h into equation (i) as follows;
A = x (4 + 25) x 7
A = x (29) x 7
A = 101.5
Therefore, the area of the trapezium is 101.5cm²
