Answer:
Answer A
Step-by-step explanation:
because formula of a trapezium = (hxbxl) so
(6x8x19) = 912units^3
Answer:
a = 36, b = 54
Step-by-step explanation:
Since the terms are in arithmetic progression then there is a common difference d between consecutive terms , that is
b - a = 72 - b ( add b to both sides )
2b - a = 72 → (1)
and
a + b - 72 = b - a ( subtract b - a from both sides )
2a - 72 = 0 ( add 72 to both sides )
2a = 72 ( divide both sides by 2 )
a = 36
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Substitute a = 36 into (1) and evaluate for b
2b - 36 = 72 ( add 36 to both sides )
2b = 108 ( divide both sides by 2 )
b = 54
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Thus a = 36 and b = 54
The sequence is therefore 36, 54, 72, 90 , .....
Find slope first
Two points: (-5,-2) and (5,4)
(4+2)/(5+5) = 6/10 = 3/5 slope
So far: y = 3/5x + b
Plug in any of the point
-2 = 3/5(-5) + b, b = 1
Final equation: y = 3/5x + 1
Answer:
C. A distinguishing mark of a profession is its acceptance of responsibility to the public.
Step-by-step explanation:
The following statement best explains why the auditing profession has found it essential to promulgate ethical standards and to establish means for ensuring their observance is :
A distinguishing mark of a profession is its acceptance of responsibility to the public.
The equation, in point-slope form, of the line that is parallel to the given line and passes through the point is y - 1 = 3/2(x+3)
<h3>Equation of a line</h3>
A line is the distance between two points. The equation of a line in point-slope form is expressed as:
y - y0 = m(x-x0)
Given the coordinates (-2, -4) and (2, 2) on the line, the slope is expressed as:
Slope = 2-(-4)/2-(-2)
Slope = (6)/4
Slope = 3/2
Find the equation of the line
y -(1) = 3/2(x-(-3))
y - 1 = 3/2(x+3)
Hence the equation, in point-slope form, of the line that is parallel to the given line and passes through the point is y - 1 = 3/2(x+3)
Learn more on equation of the line here: brainly.com/question/18831322
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