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3 years ago

Three vertices of a rectangle are given. Find the coordinates of the fourth vertex.

1 answer:

6 0

So we can get pairs
(x,y)
we have
(-3,-3)
(7,-3)
(7,2)

so list known ones
x=-3,7,7
y=-3,-3,2
we find pairs
x=7 and 7
y=-3 and -3
the missing one is another -3 for x and 2 for y
therefor the last point is
(-3,2)

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How to convert from point slope form to slope intercept form

nirvana33 [79]

Answer:

$y=mx+(y_1-mx_1), b=y_1-mx_1$

Step-by-step explanation:

The point slope form of the equation of a line is given as:

$y-y_1=m(x-x_1)$

The slope-intercept form of the equation of a line is given as:

$y=mx+b$

where: m=slope, b=y-intercept.

To convert from the point slope form to slope intercept form, follow these steps:

Step 1: Distribute the right hand side

$y-y_1=m(x-x_1)\\y-y_1=mx-mx_1$

Step 2: Isolate the y variable

$y=mx-mx_1+y_1\\y=mx+(y_1-mx_1)$

This is the slope-intercept form. We can evaluate $y_1-mx_1 $ given values for $(x_1,y_1)$ and slope, m$

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3 years ago

2+8+32+128…..,n=9 <br> Evaluate each geometric series described

DedPeter [7]

The value of 2+8+32+128…..,n=9 is 174762

<h3>How to evaluate the series?</h3>

The series is given as:

2+8+32+128…..,n=9

Start by calculating the common ratio (r)

r = 8/2

r = 4

The sum of the series is then calculated as:

$S_n = \frac{a *(r^n - 1)}{r -1}$

This gives

$S_9 = \frac{2 *(4^9 - 1)}{4 -1}$

Evaluate the difference

$S_9 = \frac{2 *( 262143)}{3}$

Evaluate the quotient

$S_9 = 174762$

Hence, the value of 2+8+32+128…..,n=9 is 174762