Give the formula for the area of the following shapes. .
1 answer:
Let's go shape by shape!
The area of a rectangle can be calculated as follows:
where L = length and W = width
The area of a trapezoid can be calculated as follows:
where b1 and b2 = lengths of the base and H = height of the shape
The area of a parallelogram can be calculated as follows:
where B = length of the base and H = height of the shape
The area of a rectangle can be calculated as follows:
The area of a trapezoid can be calculated as follows:
where b1 and b2 = lengths of the base and H = height of the shape
The area of a parallelogram can be calculated as follows:
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So if we take 1/4 to be the 100%, what is 2/3 in percentage off of it then?
yes, is a large value, because 2/3 is indeed larger than 1/4, more than twice as large.
yes, is a large value, because 2/3 is indeed larger than 1/4, more than twice as large.
Part A:
Given that the <span>straight line p(x) joins the ordered pairs (0, 2) and (1, -5), thus the equation of the line joining ordered pairs (0, 2) and (1, -5) is given by
Thus, p(x) = -7x + 2
</span>Given that the <span>straight line f(x) joins the ordered pairs (4, 1) and (2, -3), thus the equation of the line joining ordered pairs (4, 1) and (2, -3) is given by
Thus, f(x) = 2x - 7
</span>
The solution to the pair of equations represented by p(x) and f(x) is given by
p(x) = f(x)
⇒ -7x + 2 = 2x - 7
⇒ -7x - 2x = -7 - 2
⇒ -9x = -9
⇒ x = -9 / -9 = 1
Substituting for x into p(x), we have
p(1) = -7(1) + 2 = -7 + 2 = -5
Therefore, the solution to the pair of equations represented by p(x) and f(x) is (1, -5)
Part B:
From part A, we have that f(x) = 2x - 7
when x = -8
f(-8) = 2(-8) - 7 = -23
Thus, (-8, -23) is a solution to f(x).
When x = -10
f(-10) = 2(-10) - 7 = -27
Thus, (-10, -27) is a solution to f(x).
Therefore, two solutions of f(x) are (-8, -23) and (-10, -27).
Part C:
From part A, we have that p(x) = -7x + 2, given that
From the graphs of p(x) and g(x), we can see that the two graphs intersected at the point (0, 2).
Therefore, the solution to the equation p(x) = g(x) is (0, 2).
Given that the <span>straight line p(x) joins the ordered pairs (0, 2) and (1, -5), thus the equation of the line joining ordered pairs (0, 2) and (1, -5) is given by
Thus, p(x) = -7x + 2
</span>Given that the <span>straight line f(x) joins the ordered pairs (4, 1) and (2, -3), thus the equation of the line joining ordered pairs (4, 1) and (2, -3) is given by
Thus, f(x) = 2x - 7
</span>
The solution to the pair of equations represented by p(x) and f(x) is given by
p(x) = f(x)
⇒ -7x + 2 = 2x - 7
⇒ -7x - 2x = -7 - 2
⇒ -9x = -9
⇒ x = -9 / -9 = 1
Substituting for x into p(x), we have
p(1) = -7(1) + 2 = -7 + 2 = -5
Therefore, the solution to the pair of equations represented by p(x) and f(x) is (1, -5)
Part B:
From part A, we have that f(x) = 2x - 7
when x = -8
f(-8) = 2(-8) - 7 = -23
Thus, (-8, -23) is a solution to f(x).
When x = -10
f(-10) = 2(-10) - 7 = -27
Thus, (-10, -27) is a solution to f(x).
Therefore, two solutions of f(x) are (-8, -23) and (-10, -27).
Part C:
From part A, we have that p(x) = -7x + 2, given that
From the graphs of p(x) and g(x), we can see that the two graphs intersected at the point (0, 2).
Therefore, the solution to the equation p(x) = g(x) is (0, 2).