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2 years ago

Can anyone help with this question?

Mathematics

1 answer:

Vlada [557]2 years ago

8 0

x-intercept = (2, 0)

y-intercept = (0, 7.5)

Step-by-step explanation:

The x-intercept can be found by setting y = 0. Thus,

$15x + 4(0) = 30 \Rightarrow x = 2$

Therefore, the x-intercept is (2, 0).

The y-intercept can be found by setting x = 0:

$15(0) + 4y = 30 \Rightarrow y = 7.5$

Therefore, the y-intercept is at (0, 7.5)

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sleet_krkn [62]

Answer:

Midpoint = (3.5, 4.5)

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Step-by-step explanation:

[] We can solve this using the midpoint formula:

-> See attached

[] Plug-in our coordinates and solve:

$(\frac{7+0}{2} ,\frac{0+9}{2} )=(\frac{7}{2} ,\frac{9}{2} )=(3.5,4.5 )$

[] Now we will find the slope to solve for the perpendicular bisector.

-> We will use slope-intercept form, see attached

$\frac{9-0}{0-7}=\frac{9}{-7}$

-> The slopes of two perpendicular lines are negative reciprocals of each other, so $\frac{7}{9}$ will be the slope of or perpendicular bisector

-> Now we can solve for the equation by using y – y1 = m ( x – x1), were y1 and x1 are the coordinates of our midpoint

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Have a nice day!

I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

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