Given regular pentagon ABCDE, what are the coordinates of vertex C?

Answer:

y = negative four-thirds x + StartFraction 31 Over 3 EndFraction

y = 2 x + 7

Step-by-step explanation:

Let x denote the smaller number and y denote the larger number.

Part 1

The equation presented indicates that four times some number added to three times a larger number equals 31.

This translates to:

• 4x + 3y = 31

From here, solving for y yields:

• 4x + 3y=31 ⇒ 3y= -4x+31 ⇒ y= (-4x+31)/3 = - 4/3x + 31/3

    ⇒  y= - 4/3x + 31/3

This indicates the correct response for this scenario:

y = negative four-thirds x + StartFraction 31 Over 3 EndFraction

Part 2

The statement that seven subtracted from the larger number equals twice the smaller number translates to:

y-7= 2x

Further, solving for y yields:y-7= 2x ⇒

y= 2x+ 7

The correct answer for this equation is:

y = 2 x + 7

Response:

read below

Detailed explanation:

1) Charlotte considered two different methods to define this quantity. Identify these two definitions among the options provided.

Choose 2 answers:

Choose 2 answers:

(Choice A, Incorrect)

WRONG

Profit divided by total number of likes

(Choice B, Checked, Correct)

CORRECT (SELECTED)

Profit divided by number of writers

(Choice C, Checked, Correct)

CORRECT (SELECTED)

Profit divided by expenses

(Choice D, Incorrect)

WRONG

Expenses divided by number of writers

2) Determine which site generates the most profit per investment of resources considering both definitions. Did you achieve the same conclusion for each?

Choose 1 answer:

Choose 1 answer:

(Choice A, Incorrect)

INCORRECT

Yes. Both definitions indicate website A yields more profit per resource spent.

(Choice B, Checked, Correct)

CORRECT (SELECTED)

Yes. Based on both definitions, website B earns more profit for resources utilized.

(Choice C, Incorrect)

INCORRECT

No. The findings of the definitions conflict.

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<span>To isolate p, start by subtracting B from both sides: SA-B=1/2lp. Next, multiply both sides by 2 to eliminate the 1/2: 2SA=lp. Finally, divide both sides by l to derive p: (2SA)/l=p.</span>

From another answer, "There are various methods to calculate this. One approach is:

With a range of 400 miles on a 15-gallon fuel tank,
400 / 15 results in 26.66666666666667 miles for every gallon (it seems odd, but we'll reach a concise outcome shortly)
Thus, 26.66666666666667 multiplied by 6 gallons equals 160 miles.

<span>Final result: Landon's SUV can go </span>160 miles<span> using 6 gallons."</span><span />

Examining Talia's steps to derive the line equation, we identify the erroneous step as detailed below:
Step 1:
Select a point on the line, such as (2,5)
Step 2:
<span>Select another point on the line, such as (1, 3)
Step 3:
</span><span>Measure units to find the slope. The line moves 1 unit to the right and 2 units upward, resulting in a slope of
(5-3)/(2-1) = 2/1 = 2
Step 4:
</span><span>Apply these values in the point-slope form
y - y1 = m(x - x1)
y - 3 = 2(x - 1)
y = 2x + 1
Hence, the conclusion is:
</span><span>Step 4 is erroneous due to incorrect application of (1, 3) in the point-slope format.</span>