−8−1+4 ⋅ 2 find the answer to this equation
2 answers:
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Answer:
Options (1), (3), and (4)
Step-by-step explanation:
Since, slope of a line passing through two points and
is given by,
m =
Therefore, slope of a line passing through (0, 5) and (2, 8) will be,
m = = 1.5
Equation of line passing through (x', y') and slope 'm' is,
y - y' = m(x - x')
Therefore, equation of a line passing through (0, 5) and slope = 1.5,
y - 5 = 1.5(x - 0)
y = 1.5x + 5
Since, all the points which lie on this line will satisfy this equation.
For (4, 11),
11 = 1.5(4) + 5
11 = 11
Point (4, 11) lies on this line.
Point (5, 10)
10 = 1.5(5) + 5
10 = 7.5 + 5
10 = 12.5
But 10 ≠ 12.5
Therefore, (5, 10) doesn't line on the line.
Point (6, 14)
14 = 1.5(6) + 5
14 = 14
True.
Therefore, (6, 14) lies on the line.
Point (30, 50)
50 = 1.5(30) + 5
50 = 50
True.
Therefore, (30, 50) lies on the line.
Point (40, 60)
60 = 1.5(40) + 5
60 = 65
But 60 ≠ 65
Therefore, (40, 60) doesn't lie on the line.
Options (1), (3) and (4) and the correct options.
Answer:
19.1
Step-by-step explanation:
Let's assign some variables to this triangle.
angle A = 63°
angle B = unknown
angle C = 71°
side a = 18
side b = y
side c = x
By the law of sins, applicable to ALL triangles, we have:
Let's then take the equation for angles A and C, in order to isolate the c (which is our x to find).
we then have
So, the answer is the second one.