Find the equation of a line that passes through the point (12,9)and has a slope of 1/4

Answers

Answer 1
Answer: y=mx+b \nm=(1)/(4) \n \Downarrow \ny=(1)/(4)x+b \n \n(12,9) \nx=12 \n y=9 \n \Downarrow \n 9=(1)/(4) * 12 + b \n 9=3+b \n 9-3=b \n b=6 \n \n \boxed{y=(1)/(4)x+6}
Answer 2
Answer: so first convet to slope intercept form which is y=mx+b where m is slope and b is y intercept

so since you are given x and y values and the slope, you can solve for b

so y=mx+b
y=1/4x+b
subsitute 12 for x and 9 for y
9=1/4(12)+b
9=3+b
6=b


so the equation is y=1/4x+6

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You are fencing in an area to make a garden. You only have 150 feet of fence. You want the length of the garden to be at least 40 feet. You want the width to be at least 5 feet. What is the graph showing the all of the possible dimensions your garden could have?

Answers

Answer:

1200

Step-by-step explanation:

MULTIPLY AND DIVIDE

For an annual membership fee of $500, Mr. Bailey can join a country club that would allow him to play a round of golf for $35. Without the membership, the country club charges $55 for each round of golf. How many rounds of golf would Mr. Bailey have to play for the cost to be the same with and without a membership? Write an equation or inequality to describe this situation. *

Answers

Answer:

20

Step-by-step explanation:

let the number of rounds of golf played for the cost to equal be x.

-It costs $35/ round when the membership of $500 is paid, hence, total annual cost is:

500+35x

#When membership is not paid, the annual cost is expressed as:

55x

#Since the cost should be equal after x rounds, we equate the two to solve for x:

500+35x=55x\n\n500=20x\n\nx=25

Hence, Mr Bailey has to play 20 rounds of golf for the cost in both scenarios to be equal.

Consider the dot plot which shows the distribution of data collected on the number of pets at home. Which statement BEST describes the center of the data collected?A) The mean is greater than the middle value of the range.
B) The median is greater than the middle value of the range.
C) The mean is closer to the middle value of the range than the median.
D) The median is closer to the middle value of the range than the mean.

Answers

Answer:

c

Step-by-step explanation:

Mean=7/3

median=2

mode=2

rnge=4

2 1/3 is closer to 3 than 2

Answer:

its C  :3

Step-by-step explanation:

Solving eqations
4c=16

Answers

Answer:

c=4

Step-by-step explanation:

Answer:

C=4

Step-by-step explanation:

when solving these equations you have to get the letter by itself and in this case the 4 is being multiplied by the c so you have to do the opposite and divide the 4 from the c and divide 16 by 4 because what you do to one side of the equal sign you have to do to the other side.

PLEASE HELP I GIVE THANKS

Answers

Like earlier take the bigger shape and divide the smaller one.
8.4 divide by 4 and you get 2.1.
a) Scale factor is = Second Value / First Value
                           =    8.4 / 4 = 2.1

b)  0.25 =  Second Value / First value

0.25 =  Second Value / 9

Second value = 0.25 * 9 = 2.25.

leon deposited $30,000 in a bank which paid 2% interest per year. after 1 year, leon withdraw all his money including the interest. How much money did leon withdraw in all?

Answers

I believe that the It is 30,600