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2 years ago

Is the line y = 3x – 7 parallel or perpendicular to 3x + 9y = 9? Explain your answer.

2 answers:

7 0

Y = 3x - 7...slope here is 3 and y int is -7

3x + 9y = 9
9y = -3x + 9
y = -1/3x + 1....slope here is -1/3 and y int is 1

the slopes 3 and -1/3 are negative reciprocals of each other...therefore, ur lines are perpendicular

vampirchik [111]2 years ago

4 0

Answer:

The lines are perpendicular because perpendicular lines have slopes that are opposite reciprocals. To compare the slopes, you can rewrite the second equation in slope-intercept form as y = (–1/3)x + 1. The slope of the given line is 3, and the slope of the second line is –1/3. These have a product of –1, which means they are opposite reciprocals. Thus, the two lines are perpendicular.

Step-by-step explanation:

sample response :)

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Two parallel lines are intersected by a third line so that angles 1 and 5 are congruent. 2 parallel horizontal lines are interse

densk [106]

Answer:

"They are supplementary" ⇒ last answer

Step-by-step explanation:

* <em>Look to the attached figure</em>

- Two parallel horizontal lines are intersected by a third line

- The angles formed form intersection are labeled on the figure

- From the two parallel lines and

∠5 ≅ ∠1 ⇒ corresponding angles

m∠5 = m∠1

- A linear pair is two angles that are adjacent and form a line and

they are supplementary

∠1 and ∠3 form a line

∠1 and ∠3 are linear pair

* <em>lets prove that ∠3 and ∠5 are supplementary</em>

∵ m∠1 = m∠5 ⇒ corresponding angles

∵ ∠1 and ∠3 form a linear pair

∵ Linear pair are supplementary

∴ m∠1 + m∠3 = 180°

- By substitute ∠1 by ∠5

∴ m∠5 + m∠3 = 180

∴ ∠5 and ∠3 are supplementary

* The true statement is "They are supplementary"

8 0

1 year ago

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Daniel Potter bought a new car for $20,000.00. Two years later, he wanted to sell it. He was offered $14,650.00 for it. If he so

olga_2 [115]

Answer: 13.375% per year

Explanation:

1) Depreciation is the loss of value: $ 20,000.00 - $ 14,650.00 = $ 5,350

2) The percent of depreciation is amount of the depreciation divided by the value of the car when purchased, times 100.

That is (5,350 / $ 20,000) * 100 = 26.75 %

2) The rate is percent of depreciation per year:

depreciation rate = % of depreciation / number of years = 26.75% / 2 = 13.375% per year.

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1 year ago

Ian has 12.2 ounce bottle of ketchip. He uses 1/20 of the ketchup every time he has a buffalo burger How many ounces of ketchup

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If Ian uses 1/20 of the ketchup 4 times, this is equal to 4/20, or $\frac{4}{20}$ .

$\frac{4}{20}$ can be simplified to $\frac{1}{5}$ , which means we need to work out $\frac{1}{5}$ of 12.2

$\frac{1}{5}$ is equivalent to 20%, which as a decimal is 0.2

0.2 x 12.2 = 2.44 - however, this is how much he has used, and we need to figure out how much is left.

12.2 - 2.44 = 9.76

So, Ian has 9.76 oz remaining :)

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2 years ago

Lana draws a triangle( LMN) on the coordinate plane. What is the perimeter of the triangle( LMN)? Round to the nearest unit.

Dmitriy789 [7]

Answer:

Step-by-step explanation:

The longest side is 12.

The two other sides of the triangle= $\sqrt{3 squared+6 squared}$ =(9+36)square rooted=45 square rooted is about 6.7.

6.7*2=13.4

13.4+12=25.4

25.4 rounded to the nearest unit is 25.

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2 years ago