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Kay [80]
2 years ago
15

Helena wrote the equation using point-slope form for the line that passes through the points (5, 1) and (3, 5). Analyze the step

s of her work using the point-slope form to write the equation.
1. m = StartFraction 5 minus 1 Over 3 minus 5 EndFraction = StartFraction 4 Over negative 2 EndFraction = negative 2. 2. y minus 1 = negative 2 (x minus 3). Y minus 1 = negative 2 x + 6. y minus 1 + 1 = negative 2 x + 6 + 1. 3. y = negative 2 x + 7.

In which step did Helena make an error?
In step 1, she substituted the x values for y and the y values for x.
In step 2, she didn’t use an x and y from the same coordinate pair.
In step 3, she solved for the wrong variable.
Helena did not make an error.
Mathematics
2 answers:
mrs_skeptik [129]2 years ago
6 0

Answer:

The answer is:

In step 2, she didn’t use an x and y from the same coordinate pair.

<h3>Explanation:</h3>

I just took the quiz and got a 100%

Guest
1 year ago
tysm!! :3
Arturiano [62]2 years ago
3 0
Step 2 is the answer
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To make a profit, a company’s revenue must be greater than its operating costs. The company’s revenue is modeled by the expressi
myrzilka [38]
Revenue = 7.5x - 100
Operation Costs = 5.8x + 79.86

To break even, operation cost = Revenue
⇒ 7.5x - 100 = 5.8x + 79.86
7.5x = 5.8x + 179.86 (Add 100 to both sides)

7.5x - 5.8x = 179.86
1.7x = 179.86
x = 105.8

This implies that the company will need to sell at least 106 items to make a profit.

The inequality that will determine the number of items at need to be sold to make a profit is x ≥ 106

The solution to the inequality is as follows

Revenue = 7.5x - 100
if x =106
Revenue = 7.5(106) - 100
Revenue = 695

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if x = 106
Operational Cost = 5.8(106) + 79.86
Operational Cost = 694.66

Profit ≥ (695 - 694.66)
Profit ≥ 0.34

The company must sell at least 106 items to make a profit.
7 0
2 years ago
Read 2 more answers
5.
andrew-mc [135]

Answer:

The  angle of depression from Platform A to Platform B is 43.1^{\circ}

Step-by-step explanation:

Refer the attached figure

The horizontal distance between the  platforms is 500 feet i.e. BC = 500

The length of the zip-line is 685 feet i.e. AB = 685

We are supposed to find the  angle of depression from Platform A to Platform B

Hypotenuse = 685

Base = 500

Cos \theta = \frac{Base}{Hypotenuse}\\Cos \theta = \frac{500}{685}\\\theta = cos^{-1}(\frac{500}{685})\\\theta = 43.11^{\circ}

Hence  the  angle of depression from Platform A to Platform B is 43.1^{\circ}

4 0
2 years ago
The perimeter of a rectangle is 13cm and its width is 11/4. find its length.
enyata [817]
Perimeter = 2 length + 2 width

P = 2(l) + 2(11/4)

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13 = 2l + \frac{2}{1} * \frac{11}{4}

13 = 2l + \frac{22}{4}     (subtract 22/4 from each side)

13 -\frac{22}{4} = 2l

13 -\frac{11}{2} = 2l

\frac{26}{2}  -\frac{11}{2} = 2l

\frac{15}{2}} = 2l

7.5 = 2l    (divide each side by 2)

7.5 ÷ 2 = l

3.75 = l

The answer is 3.75 or 3 \frac{3}{4}


6 0
2 years ago
Two commuters leave the same city at the same time but travel in opposite directions. One car is traveling at an average speed o
r-ruslan [8.4K]

Answer:

5 hours

Step-by-step explanation:

The formula to relate speed, distance and time is:

D = V * t

Where D is the distance, V is the speed and t is the time.

As they are in opposite directions, we need to sum the speed.

So the total speed is:

V = 63 + 59 = 122 mph

So using this value and V and using D = 610, we have:

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t = 610 / 122 = 5 hours

So they will be 610 miles apart after 5 hours.

3 0
2 years ago
Jeff brought a bottle of water for $2.He also brought some hot dogs for $3 each.Jeff did not spend more than $14 on the hot dog
Gala2k [10]
The answer would be D because 3h + 2 (water) has to be less than or equal to > 14
8 0
2 years ago
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