Answer:
Step-by-step explanation:
The equation of a linear function can be written in the form y = mx + b, where m represents the slope and b represents the y-intercept.
To find the equation of a linear function that contains the points (-6,-8) and (12,4), we first need to find the slope.
The slope (m) can be calculated using the formula:
m = (y2 - y1) / (x2 - x1)
Let's substitute the values from the given points into the formula:
m = (4 - (-8)) / (12 - (-6))
m = (4 + 8) / (12 + 6)
m = 12 / 18
m = 2/3
Now that we have the slope, we can use one of the given points and the slope to find the y-intercept (b).
Using the point (-6, -8), we substitute the values into the equation y = mx + b and solve for b:
-8 = (2/3)(-6) + b
-8 = -12/3 + b
-8 = -4 + b
b = -8 + 4
b = -4
Therefore, the equation of the linear function that contains the points (-6,-8) and (12,4) is y = (2/3)x - 4.
The equation of the linear function that contains the points (-6,-8) and (12,4) is y = (2/3)x - 4.
The linear function equation that contains the points (-6,-8) and (12,4) can be determined by using the slope-intercept form y = mx + b, where m is the slope and b is the y-intercept. First, calculate the slope using the formula m = (y2 - y1) / (x2 - x1). Plugging in the values from the given points, we have m = (4 - (-8)) / (12 - (-6)) = 12/18 = 2/3. Next, choose one of the points to substitute into the equation to find the value of b. Using the point (-6,-8), we have -8 = (2/3)(-6) + b. Solving for b, we get b = -8 + 4 = -4. Therefore, the equation of the line is y = (2/3)x - 4.
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Answer:
h = b = 866.025 m or 866.03 rounded
Step-by-step explanation:
Sides:
a = 1000 m
b = 866.025 m
c = 500 m
Angles:
A = 90 °
B = 60 °
C = 30 °
Other:
P = 2366.03 m
s = 1183.01 m
K = 216506 m²
r = 183.013 m
R = 500 m
Agenda: A = angle A
B = angle B
C = angle C
a = side a
b = side b
c = side c
P = perimeter
s = semi-perimeter
K = area
r = radius of inscribed circle
R = radius of circumscribed circle