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romanna [79]
3 years ago
8

Parallelogram is defined by the coordinates (-2, -4), (6, -4), (11, 2), and (3, 2), respectively. Use the Pythagorean Theorem to

find the length of the parallelogram’s diagonal AQ

Mathematics
1 answer:
polet [3.4K]3 years ago
8 0
Check the picture below

notice, the "a" side goes from -2 to 11
and the "b" side goes from 2 down to -4

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Find the inverse of the equation y=2/3x-6
Korolek [52]

Answer:1/y =(3x-6)/2

Step-by-step explanation:

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hello could you please help me with this math problem with full explanation which I am unable to solve? Thanks.
neonofarm [45]

Answer:

8 / sqrt(3)

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp / adj

tan A = BC / AC

tan 30 = BC / 8

8 tan 30 = BC

8 * sqrt(3)/3 = BC

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3 years ago
The perimeter of a certain rectangle is 16 times the width. The length is 12 cm more than the width. Find the length and width o
Blizzard [7]
Check the picture below

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8 0
3 years ago
8) through: (-3, -2), perp. to y = x – 1<br> A) y=-5x – 1 B) y=-4x – 5<br> C) y=-x – 5 D) y=-5x – 4
nexus9112 [7]

<u>Answer:</u>

The equation through (-3, -2) and perpendicular to y = x – 1 is y = -x -5 and option c is correct.

<u>Solution:</u>

Given, line equation is y = x – 1 ⇒ x – y – 1 = 0. And a point is (-3, -2)

We have to find the line equation which is perpendicular to above given line and passing through the given point.

Now, let us find the slope of the given line equation.

\text { Slope }=\frac{-x \text { coefficient }}{y \text { coefficient }}=\frac{-1}{-1}=1

We know that, <em>product of slopes of perpendicular lines is -1. </em>

So, 1 \times slope of perpendicular line =  -1

slope of perpendicular line = -1

Now let us write point slope form for our required line.

\mathrm{y}-\mathrm{y}_{1}=\mathrm{m}\left(\mathrm{x}-\mathrm{x}_{1}\right)

y – (-2) = -1(x – (-3))

y + 2 = -1(x + 3)

y + 2 = -x – 3

x + y + 2 + 3 = 0

x + y + 5 = 0

y = -x -5

Hence the equation through (-3, -2) and perpendicular to y = x – 1 is y = -x -5 and option c is correct.

8 0
3 years ago
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