Complete the equation of the line through ( − 8 , 8 ) and ( 1 ,− 10 ). Use exact numbers.

Answers

Answer 1
Answer:

(\stackrel{x_1}{-8}~,~\stackrel{y_1}{8})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{-10}) \n\n\n \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{-10}-\stackrel{y1}{8}}}{\underset{\textit{\large run}} {\underset{x_2}{1}-\underset{x_1}{(-8)}}} \implies \cfrac{ -18 }{1 +8} \implies \cfrac{ -18 }{ 9 } \implies -2

\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\n \cline{1-1} \n y-y_1=m(x-x_1) \n\n \cline{1-1} \end{array}\implies y-\stackrel{y_1}{8}=\stackrel{m}{-2}(x-\stackrel{x_1}{(-8)}) \implies y -8 = -2 ( x +8) \n\n\n y-8=-2x-16\implies {\Large \begin{array}{llll} y=-2x-8 \end{array}}

Answer 2
Answer:

Answer:

y = - 2x - 8

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = (y_(2)-y_(1) )/(x_(2)-x_(1) )

let (x₁, y₁ ) = (- 8, 8 ) and (x₂, y₂ ) = (1, - 10 )

substitute these values into the formula for m

m = (-10-8)/(1-(-8)) = (-18)/(1+8) = (-18)/(9) = - 2 , then

y = - 2x + c ← is the partial equation

to find c , substitute either of the 2 points into the partial equation

using (- 8, 8 )

8 = - 2(- 8) + c = 16 + c ( subtract 16 from both sides )

- 8 = c

y = - 2x - 8 ← equation of line


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A bus travels 36 miles in 45 minutes. enter the total numbet of miles the bus travels in 60 minuted at this rate.

Answers

A rate is a special ratio in which the two terms are in different units. rate is a little bit different than the ratio, it is a special ratio. For this case, the rate would have units of miles per minutes. We calculate as follows:

rate = 36 miles / 45 min = 0.8 miles per min
distance traveled = 0.8 miles per min ( 60 min ) = 48 miles

Hope this answers the question. Have a nice day.

0.8 miles per minute

0.8miles/minutes/60 minutes =45 minutes

How many distinct way can the word TOOTH be arranged

Answers

well the word tooth can be arranged in 5 ways hot
hoot
toot
too
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Please helpHere is a list of numbers:
7, 6, 15, 6, 10, 4, 3 ,11 ,1
State the median.

Answers

6 is the median
1,3,4,6,6,7,10,11,15
Six is the median because it is in the center when you line up the numbers smallest to greatest

What is the maximum percentage of net spendable income that should be set aside for food

Answers

PLATO ANSWER: 17%

Hope I helped, have a great day

Final answer:

The maximum percentage of net disposable income that should be set aside for food is approximately one-third, or 33.33%, according to historical data gathered by the U.S. Department of Agriculture's Bureau of Home Economics and Human Nutrition. However, this figure can vary depending on factors like the number of family members and who controls the household income.

Explanation:

Based on the work of the U.S. Department of Agriculture's Bureau of Home Economics and Human Nutrition, the average family should ideally set aside approximately one-third, or about 33.33%, of its net disposable income for food. This estimation is based on the bureau's calculations of how much it would cost to feed a nutritionally adequate diet to a family and is used to determine the poverty line. However, factors like the location (whether a high-income or low-income country), the number of family members, and even who controls the household income can affect this percentage.

It's crucial to understand that this is an average approximation and may not necessarily apply to every household. For some families, spending even 25% of their income on food could lead to financial strain. Conversely, families with higher income levels might spend less than 20%.

Spending on food also tends to be higher in lower-income households compared to higher-income households. Furthermore, spending patterns can differ based on whether the father or mother controls a larger share of the family income. For example, when the mother controls a larger share of family income, families tend to spend more on child care and less on alcohol and tobacco, suggesting that who controls the household resources can affect spending in certain areas, including food.

Learn more about Household Food Expenditure here:

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Sara borrows $56 from her mother to buy a new pair of jeans. If she decreases her debt by $4 each week, how many weeks will it take her to pay off the whole amount she owes her mother? A. 15 weeks B. 16 weeks C. 12 weeks D. 14 weeks

Answers

Answer:

D. 14 weekend

Step-by-step explanation:

4x = 56

x = 56/4

14 weeks

Can you please help me

Answers

(a) F = ma , a = F/m

(b) a = F/m, a= -25/10 = -2.5 units

(c)m = F/a, m= 25/5 = 5 units