The intercepts of the given equations is as given in the task content is; Choice B; (15,0,0),(0,10,0) ,(0,0,5).
<h3>What are the intercepts of the equation as give in the task content?</h3>
The x-intercept of the given equation can be determined by setting values of y and z to zero.
The y-intercept can be determined by setting x and z to zero.
While the z-intercept can be determined by setting x and y to zero.
Consequently, the X-intercept of the given equations is; 2x +3(0) = 30; x = 15.
Therefore, we have; (15,0,0)
The y-intercept is therefore; 2(0) +3y = 30; 3y = 30; y = 30/3 = 10 and. we have; (0,15,0)
And hence, the z-intercept is; z = 30/6 = 5.
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Write the divide fraction horizontally:
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Factorise the numerators and denominators when possible:
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Convert the divide fraction to multiplication fraction
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Cancel the factors
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Combine to single fraction
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141.3 <em>is </em>the nearest tenth. 0.3 is in the tenths place.
The answer should be letter A I believe correct me if I’m wrong.
The equation of the given line is y = 5/6x - 2
The standard equation of a line in slope-intercept form is expressed as
y = mx + b
m is the slope of the line
b is the y-intercept
Using the coordinate point (0, -2) and (-6, 3)
Slope m = 3-(-2)/-6-0
m = 5/6
Since the line cuts the y-axis at y = -2, hence the y-intercept is -2.
Find the equation of a line;
y = mx + b
y = 5/6x + (-2)
y = 5/6x - 2
Hence the equation of the given line is y = 5/6x - 2
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