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tatyana61 [14]
2 years ago
10

What is the equation in point-slope form of the line passing through (0, 6) and (1, 3)?

Mathematics
1 answer:
NeX [460]2 years ago
5 0

Answer:

3 - 6 = -3(1 - 0)

Step-by-step explanation:

To write an equation of point-slope from two points, first you need the slope.

To find slope, find the change in y over the change in x.

  • (0,6) y = 6 and x = 0
  • (1,3) y = 3 and x = 1

The change in y over change is x means (y2 - y1) / (x2 - x1)

change in y: -3

change in x: 1

slope = -3/1 or -3

Now that we have slope we can start the point-slope equation.

Point-slope equation: y2 - y1 = m(x2 -x1)

[<em>m</em><em> </em>means slope]

Finally, the point slope equation for these points is: 3 - 6 = -3(1 - 0)

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r-ruslan [8.4K]

Answers:

  • A) The equation is d = 2t
  • B) Independent variable = time; dependent variable = amount of cookies

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Explanation:

The independent variable is always long the horizontal axis. Often this is x, but we are using t in this case.

The variable t represents the amount of time in minutes. For instance, t = 2 means 2 minutes have elapsed. At this time, 4 cookies have been eaten as shown by the point (2,4). As another example, the point (3,6) means that d = 6 cookies have been eaten at time t = 3 minutes.

The equation is d = 2t because the '2' represents the rate of change of "eating 2 cookies per minute". Whatever the time value (t) is, we double it to get the value of d, which is the number of cookies eaten.

6 0
2 years ago
What is the sine of angle C?
ololo11 [35]

Answer:

4/5 or 53°

Step-by-step explanation:

soh

cah

toa

you want soh

sine=opposite/hyp

therefore sine of C is 4/5

to find the degrees you have to something a lil different.

sin^-1 (theta)= 4/5

sin^-1(4/5)=theta

53°=theta

8 0
2 years ago
Lindsey took out an 80/20 mortgage to buy a house costing $145,000. The
mash [69]

Answer:

605.11

Step-by-step explanation:

6 0
3 years ago
A certain drug dosage calls for 17 mg per kg per day and is divided into two doses (1 every 12 hours). If a person weighs 255 po
vekshin1

Answer:

985.15mg

Step-by-step explanation:

Calculation for how many milligrams of the drug should he receive every 12 hours

First step is to calculate the weight in kg

255 lbs = 255/2.2 = 115.9 kg

Second step is multiply mg/kg in order to get total medicine per day

Dose per day=115.9kg × 17 mg

Dose per day= 1,970.3

Third step is to calculate how many milligrams of the drug should he receive by dividing the day dose by 2

Dose milligrams=1,970.3/2

Dose milligrams=985.15mg

Therefore how many milligrams of the drug should he receive every 12 hours will be 985.15mg

3 0
2 years ago
PLEASE HELP!!!!! I WILL MARK BRAINLIEST AND RATE 5 STARS!!
dedylja [7]

Answer:

37°

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sum of exterior angles of a polygon is 360°

so, 41+(x+13)+(2x-14)+(3x-22)+(x-3)+38+(x+11)=360

8x+64=360, subtract 64 from both sides

8x=296

x=37°

6 0
2 years ago
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