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Darya [45]
3 years ago
12

The lines below are perpendicular. If the slope of the green line is 3/2, what is the slope of the red line​?

Mathematics
2 answers:
g100num [7]3 years ago
6 0

Answer:

The answer is B

I use an online graphing calculator called Desmos. You should check it out some time :)

SSSSS [86.1K]3 years ago
4 0

Answer:

-2/3

Step-by-step explanation:

Perpendicular slopes have lines that multiply to -1

m* 3/2 = -1

Multiply each side by 2/3

m* 3/2 * 2/3 = -1 * 2/3

m = -2/3

The slope of the perpendicular line is -2/3

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The ABC Company has a net income of $56,000, assets at the beginning of the year are $263,000 and assets at the end of the year
aleksandr82 [10.1K]

Answer:

19.4 %

Step-by-step explanation:

The formula for<em> return on assets</em> (ROA) is

ROA = Net income /Total assets × 100 %

Since assets vary, we use the <em>average</em> of the total assets over the period.

<em>Calculate the average total assets</em>

At beginning of year, total assets = $263 000

At end of year, total assets            = $313 000

Average = (313 000 + 263 000)/2

Average = 576 000/2

Average = $288 000

===============

<em>Calculate the ROA</em>

Net income = $56 000

ROA = 56 000/288 000 × 100 %

ROA = 0.194 × 100 %

ROA = 19.4 %

The company’s return on assets is 19.4 %.

4 0
3 years ago
Read 2 more answers
A car travels at a constant speed.
ad-work [718]

Answer:

see below

Step-by-step explanation:

<h3>Given</h3>
  • Distance is 142.2 m, correct to 1 decimal place
  • Time is 7 seconds,  correct to nearest second
<h3>To find:</h3>
  • Upper bound for the speed
<h3>Solution </h3>

<em>Upper bound for the speed  = upper bound for distance/lower bound for time</em>

  • Upper bound for distance = 142.25 m  (added 0.1/5 = 0.05)
  • Lower bound for time = 6.5 seconds  (subtracted 1/2 = 0.5)

<u>Then, the speed is:</u>

  • 142.25/6.5 = 21.88 m/s
  • 21.88 = 21.9 m/s correct to 1 decimal place
  • 21.88 = 22 m/s correct to nearest m/s

4 0
3 years ago
Put these groups of numbers starting with the smallest 1.506, 1.06, 1.501, 1.605​
maks197457 [2]
1.06
1.501
1.506
1.605


Hope this helps
6 0
2 years ago
I need help with this ​
Korvikt [17]

Answer:

D.

Step-by-step explanation:

According to converse of the Pythagorean Theorem, that if the square of the third side (longest side) of a triangle equals the sum of the other two shorter sides, therefore, the triangle formed must be a right triangle.

From the side lengths given, the following satisfies the Pythagorean triple:

5² + 12² = 13².

Therefore, the procedure to use to confirm the converse of the Pythagorean Theorem would be to draw the two shortest side, 5 cm and 12 cm, so that a right angle will be between them. The side measuring 13 cm should therefore fit in to form a right triangle.

7 0
3 years ago
A rectangle patio is surrounded on three sides by a fence. If the areas of the patio is 45 m sq and the total of fence is 19m wh
Eddi Din [679]
LW = 45
L + 2W = 19
L = 19-2W

substituting for L :-
W(19-2W) = 45

-2W^2 + 19W = 45

2W^2 - 19W + 45 = 0 
W = 5 or 4.5

If W = 5, L = 9
If W = 4.5, L = 10

So there are 2 possible answers.


3 0
3 years ago
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