Lexie is making a model of the Empire State Building. The scale of the model is 1 inch = 9 feet. The needle at the top is 31.5 f
2 answers:
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The slope intercept form of the line whose points are (1,5) and (-2,-4) is y=3x+2.
Given two points of a line (1,5) and (-2,-4).
We have to form an equation in slop intercept form.
Equation is relationship between two or more variables which are expressed in equal to form.Equations of two variables looks like ax+by=c.
Point slope form of an equation is y=x+mc where m is slope of the line.
From two points the formula of equation is as under:
(y-)=
*(x-
)
where are the points.
Putting the values of =1,
=-2,
=5 and
=-4.
y-5=(-4-5/-2-1)*(x-1)
y-5=-9/-3*(x-1)
y-5=3(x-1)
y-5=3x-3
y=3x-3+5
y=3x+2
Hence the slope intercept form of the line having points (1,5)(-2,-4) is y=3x+2.
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Answer:
15 miles
Step-by-step explanation:
Let be the miles in the circular park path,
the time Louisa takes to finish and
the time Calvin takes to finish both in hours.
Then , the longitude is equal to the velocity times the time used to finish. So
And the difference between Louisa's time and Calvin' time is 30 minutes, half an hour. So:
Three equations, three unknowns, the system can be solved.
Equalizing the equation with x :
In this last equation replace with the other equation and solve:
With Louisa's time find x: