Choose the expression equivalent to: (10 x 18) + (10 x s)
2 answers:
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Answer:
C is correct equation.
Step-by-step explanation:
We are given a point and slope of a line. Using point slope form formula to find the equation of line and match the correct option.
Formula:
where,
Equation of line:
Thus, C is correct equation of given information.
Answer:
a) CD = 41 m
b) 77.32°
c) 1380 square metres
Step-by-step explanation:
We can divide the trapezium as shown in the diagram below.
a) To find CD, we use Pythagoras Rule:
b) To find <BCD, we use trigonometric function SOHCAHTOA:
sin(BCD) = opp / hyp
sin(BCD) = 40 / 41
sin(BCD) = 0.9756
=> <BCD = 77.32°
c) The area of a trapezium is given as:
A = 1/2 (a + b) * h
where h = height = 40 m
a = top length = 30 m
b = bottom length = 39 m
A = 1/2 * (30 + 39) * 40
A = 1/2 * 69 * 40
A = 1380 square metres
The point-slope equation of the line is
Step-by-step explanation:
The form of the point-slope equation is , where
- m is the lope of the line
is a point lies on the line
The slope of a line , where
and
are two points on the line
∵ The line through (2 , 3) and (7 , 4)
∴ = 2 and
= 7
∴ = 3 and
= 4
- Substitute these value in the rule of the slope
∵
∴ the slope of the line is
Let us substitute the value of the slope and the coordinates of point in the form of the equation
∵
∵ = 2 and
= 3
∵
∴
The point-slope equation of the line is
Learn more:
You can learn more about the linear equation in brainly.com/question/12941985
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