Find the equation of the line parallel to x=1 that contains the point (-2,-1)


Answer 1
Answer: answer : x= -2

bc the graph of x=1 is just a straight vertical line across the x-axis, so any lines parallel have to go vertically across the x-axis as well. The graph of line that goes through the point (-2,-1) is x=-2

Related Questions

Materials: Tall clear drinking glass or vase At least four of the following liquids: Fresh water Salt water Vegetable oil Rubbing alcohol Dish soap Honey Corn syrup Milk Maple syrup At least three different small items of your choice, such as: Ping pong ball Small screw, bolt, or nut Popcorn kernel Peanut Blueberry Grape Cherry tomato Instructions: Select four liquids and predict how you think they compare in density by ranking them from most dense to least dense in the data table below. Measure out ¼ cup volume of each liquid, and pour them one at a time into the clear glass or vase. Record your observations in the lab worksheet. Gently add the first small item to the liquids, and record your observation of where it settles. Repeat with the other small items. Clean up all lab materials (the liquids can be poured down the sink), and complete the lab worksheet. Data Table: Prediction: Rank the four liquids from lowest density (top) to highest density (bottom) Observation: Rank how the four liquids really compare, from lowest density (top) to highest density (bottom) Observations: What objects did you place in the liquid, and where did each settle? Object Layer where it settled Observations and Conclusions: Define density, and describe how this activity helps you compare the density of four different liquids without making mass measurements. How did the observations compare to your predictions? Did any of the results surprise you? How would the density of water change if you measured out ½ cup instead of ¼ cup? Explain your answer in complete sentences.
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A certain city's population is 120,000 and decreases 1.4% per year for 15 years.Is this exponential growth or decay? Growth
What is the rate of growth or decay?
What was the initial amount? 120000
What is the function?
What is the population after 10 years? Round to the nearest whole number.



  • Decay Problem.
  • Decay rate,  r = 0.014
  • Initial Amount =120,000
  • P(t)=120000(0.986)^t
  • P(10)=104,220

Step-by-step explanation:

The exponential function for growth/decay is given as:

P(t)=P_0(1 \pm r)^t, where:\nP_0$ is the Initial Population\nr is the growth/decay rate\nt is time

In this problem:

The city's initial population is 120,000 and it decreases by 1.4% per year.

  • Since the population decreases, it is a Decay Problem.
  • Decay rate, r=1.4% =0.014
  • Initial Amount =120,000

Therefore, the function is:

P(t)=120000(1 - 0.014)^t\nP(t)=120000(0.986)^t

When t=10 years

P(10)=120000(0.986)^10\n=104219.8\n\approx 104220 $ (to the nearest whole number)

Jenny has 50 square tiles she arranges the tiles into a rectangular array of 4 rows how many tiles will be left over


50/4=12 2/4
Therefore, there will be 2 tiles left over.

Although still a sophomore at college, John O'Hagan's son Billy-Sean has already created several commercial video games and is currently working on his most ambitious project to date: a game called K that purports to be a "simulation of the world." John O'Hagan has decided to set aside some office space for Billy-Sean against the northern wall in the headquarters penthouse. The construction of the partition will cost $8 per foot for the south wall and $12 per foot for the east and west walls.What are the dimensions of the office space with the largest area that can be provided for Billy-Sean with a budget of $432?south wall length ft -east and west wall length -What is its area?



27 feet for the south wall and 18 feet for the east/west walls

Maximum area= 486\ ft^2

Step-by-step explanation:


This is a simple case where an objective function must be minimized or maximized, given some restrictions coming in the form of equations.

The first derivative method will be used to find the values of the parameters that control the objective function and the maximum value of that function.

The office space for Billy-Sean will have the form of a rectangle of dimensions x and y, being x the number of feet for the south wall and y the number of feet for the west wall. The total cost of the space is


The budget to build the office space is $432, thus


Solving for y

\displaystyle y=(432-8x)/(12)

The area of the office space is


Replacing the value found above

\displaystyle A=x\cdot (432-8x)/(12)


\displaystyle A= (432x-8x^2)/(12)

This is the objective function and must be maximized. Taking its first derivative and equating to 0:

\displaystyle A'= (432-16x)/(12)=0





x=27\ feet

Calculating y

\displaystyle y=(432-8\cdot 27)/(12)

y=18\ feet

Compute the second derivative to ensure it's a maximum

\displaystyle A'= (-16x)/(12)

Since it's negative for x positive, the values found are a maximum for the area of the office space, which area is

A=xy=27\ ft\cdot 18\ ft\n\n\boxed{A=486\ ft^2}

A sample of 8 new models of automobiles provides the following data on highway miles per gallon. Highway Miles Model Per Gallon 1 33.6 2 26.8 3 20.2 4 38.7 5 35.1 6 28.0 7 26.2 8 27.6 a. What is the point estimate for the average highway miles per gallon for all new models of autos? b. Determine the point estimate for the standard deviation of the population.



The point estimate for the mean is 29.5 miles per gallon and the standard deviation is 5.9

Step-by-step explanation:

The formula por the point estimate of the mean is:

mean(x) = (x1+x2+x3+...+xn)/(n)

And for the standard deviation:

desv(x)=((1)/(n-1)sum(xi^(2) - n*x^(2) ))^(1/2)

So for the mean:

mean(x)=(33.6+26.8+20.2+38.7+35.1+28.0+26.2+27.6 )/(8) \n\nmean(x)=(236.2)/(8) \n\nmean(x)=29.5

And for the standard deviation:

desv(x)=((1)/(8-1) ((33.6-29.5)^(2) +(26.8-29.5)^(2) +(20.2-29.5)^(2) +(38.7-29.5)^(2) +(35.1-29.5)^(2) +(28-29.5)^(2) +(26.2-29.5)^(2) +(27.6-29.5)^(2))^(1/2) \n\ndesv(x)=((1)/(8-1) ((4.1)^(2) +(-2.7)^(2) +(-9.3)^(2) +(9.2)^(2) +(5.6)^(2) +(-1.5)^(2) +(-3.3)^(2) +(-1.9)^(2))^(1/2) \n\ndesv(x)=\sqrt{(243.3)/(7)} \n\ndesv(x)=√(34.7) \n\ndesv(x)=5.9

What is 384893x8 bsnqnwvabna




Step-by-step explanation:

How to solve -2x-10x12=18



x  =  −69

Step-by-step explanation:

1: Simplify




2: Add 120 to both sides.


−2x = 138

3: Divide both sides by -2.

-2x ÷  -2 = 138 ÷  -2

x = −69



Step-by-step explanation: