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sergiy2304 [10]
2 years ago
5

Help

Mathematics
1 answer:
solmaris [256]2 years ago
3 0
Perpendicular lines have negative reciprocal slopes (in which the product of those two slopes = -1). The negative reciprocal of 1/3 is -3.

Therefore, the following choices are perpendicular to y — 1 = 1/3(x + 2):


You’ll have to transform option 1 into its slope-intercept form to see whether its slope is a negative reciprocal to 1/3:

OPTION 1:

y + 2 = -3(x - 4)
Distribute -3 into the parenthesis, and subtract 2 from both sides:
y + 2 - 2 = -3x + 12 - 2
y = -3x + 10

OPTION 5:
You’ll also have to transform option 5 into its slope-intercept form:

3x + y = 7
Subtract 3x from both sides to isolate y:
3x - 3x + y = - 3x + 7
y = -3x + 7


OPTION 3:
Option 3 also has a negative reciprocal slope of -3:

y = -3x - 5/3

Therefore, the following options are the correct answers:

Option 1: y + 2 = -3(x —4)
Option 3: y = -3x - Five-thirds or y = -3x - 5/3
Option 5: 3x + y = 7


Please mark my answers as the Brainliest if you find my explanations helpful:
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iren2701 [21]
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That is because D has a horizontal line of symmetry, as can be seen on it.
8 0
3 years ago
What is the additive inverse of -2 + 8i?
tatuchka [14]

Answer:

2 - 8i

Step-by-step explanation:

The additive inverse of something is basically the opposite of it. Another way to say this is that when you add the additive inverse to -2 + 8i, it will equal 0.

<u>An example:</u>

The additive inverse of 7 is -7 because not only is it the opposite, but also when you add 7 and -7, it equals 0.

<u>To solve</u>

So all you need to do is find the opposite of -2 + 8i. You can write it as:

-(-2 + 8i)  With the negative in the front because we want to find the opposite.

This then equals:

2 - 8i

You can check your answer by adding -2 + 8i and 2 - 8i to see if it equals 0:

(-2 + 8i) + (2 - 8i)  →  and it does equal 0

<u>ANSWER:</u> 2 - 8i

Hope you understand and that this helps with your question! :)

8 0
2 years ago
A box with no top is to be constructed from a piece of cardboard whose length measures 88 in. more than its width. the box is to
MariettaO [177]

Let x be the width of the cardboard (which means the length of the cardboard is x+88), then the dimensions of the box are:

Length = [(x + 88) - 2(33)]

Width = x - 2(33)

Heighth = 33

Volume = length · width · heighth

144,144 = [(x + 88) - 2(33)] · [x - 2(33)] · 33

144,144 = (x+22)(x-66)(33)

4368 = (x+22)(x-66)

4368 = x² - 44x - 1452

0 = x² - 44x - 5820

use the quadratic formula to calculate that x = 101

Answer: cardboard width = 101, cardboard length = 189

4 0
3 years ago
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musickatia [10]

Answer:

Negative numbers are used in navigation and directions determination

7 0
3 years ago
What's the perimeter?
-Dominant- [34]
The perimeter is 17 units! :D
8 0
3 years ago
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