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alukav5142 [94]
3 years ago
9

What is the equation of a line with slope -1/2 passing through (-5,4)?

Mathematics
1 answer:
elena-14-01-66 [18.8K]3 years ago
4 0
For this question you need to use what's called point-slope form. It's named this way because you can use it if you have both the slope and a point at which the line passes through. That said, the equation is as follows:

y - y1 = m(x - x1)

Both y1 and x1 represent the y and x coordinates you are given in the question. Also, m represents the slope of the line that you are given. Knowing this, our equation now looks like this:

y - 4 = -0.5(x - (-5))

And now simplify:

y - 4 = -0.5(x + 5)
y - 4 = -0.5x - 2.5

y = -0.5x + 1.5
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ludmilkaskok [199]

Given:

The bases of trapezoid measuring 4 m and 12 m.

To find:

The median of the trapezoid.

Solution:

The median of the trapezoid is the average of its bases.

\text{Median}=\dfrac{\text{Upper base + Lower base}}{2}

The bases of trapezoid measuring 4 m and 12 m. So, the median of the trapezoid is:

\text{Median}=\dfrac{4+12}{2}

\text{Median}=\dfrac{16}{2}

\text{Median}=8

Therefore, the correct option is C.

5 0
3 years ago
Please can someone prove this equation
zubka84 [21]

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identity

sin²x + cos²x = 1

Consider the left side

2cos²A - 1 ← replace 1 by sin²A + cos²A

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= 2cos²A - sin²A - cos²A

= cos²A - sin²A = right side ⇒ verified



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3 years ago
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Answer:

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