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-Dominant- [34]
2 years ago
10

Find the equation of a line that goes through the points (-3,5) and (5,-11)

Mathematics
1 answer:
Rasek [7]2 years ago
3 0

(\stackrel{x_1}{-3}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{-11}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-11}-\stackrel{y1}{5}}}{\underset{run} {\underset{x_2}{5}-\underset{x_1}{(-3)}}}\implies \cfrac{-16}{5+3}\implies \cfrac{-16}{8}\implies -2

\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{5}=\stackrel{m}{-2}(x-\stackrel{x_1}{(-3)}) \\\\\\ y-5-2(x+3)\implies y-5=-2x-6\implies y=-2x-1

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The distance between Chicago and Cleveland is
lozanna [386]

Answer:

The average speed on this trip was 46.15 mph. The correct option is A.

Step-by-step explanation:

In order to calculate the average speed, we need to apply the following formula:

v_{avg} = \frac{\text{distance}}{\text{time}}

We were given the distance between the two cities in miles, therefore we can directly apply it to the expression. Although the time was given in the hh:mm 12 h format and we need a diference in hours, so we will convert that as shown below:

\text{time departure} = 9 + \frac{50}{60} = 9.83 \text{ h}

\text{time arrival} = 12 + 5 + \frac{30}{60} = 17.5

The elapsed time of the trip is the difference between these:

\text{time} = 17.5 - 9.83 = 7.67 \text{ h}

We can now apply it to the formula:

v_{avg} = \frac{354}{7.67} = 46.15 \text{ mph}

The average speed on this trip was 46.15 mph. The correct option is A.

5 0
3 years ago
A recipe for apple cake needs 10 mL of baking powder, 70 mL of butter, 190 mL of sugar and 420 mL of flour. This is enough to ma
Pepsi [2]

20/8 = 2.5

multiply all the ingredients by 2.5

10 ml  * 2.5 = 25 ml of baking powder

70 *2.5 = 175 ml of butter

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8 0
3 years ago
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klasskru [66]
Replace P with 15:

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3 0
3 years ago
Jeremy has $1200 in spending money for the fall semester of college. He needs to purchase car insurance at $120 for 4 months, $2
abruzzese [7]

Answer:

Jeremy Will have more than just $200 to spend on Christmas presents.

Explanation :

He has a total of $1200.

He spends a $120 for car insurance. (1)

He needs to spend $25 a week for lunch. He has to do this for 16 weeks so 25*16 = $400. (2)

He needs to spend $20 a week for entertainment. For 16 weeks that'll be 20*16 = $320 (3)

adding (1) (2) and (3)

We get Jeremy's total spending will be $840. Jeremy has $1200.

1200-840 = $360

So Jeremy will have $360 to spend on Christmas present.

6 0
2 years ago
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HACTEHA [7]

Answer:

4.8

Step-by-step explanation:

1% of 40 is 0.4.

So, just multiply 0.4 by 12 to get 4.8

4 0
3 years ago
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