We are given two points on a line. First we need to find the slope of the line using these two points.

The given points are (6, 1) and (5, 4). The slope (m) of the line will be:

$m= \frac{4-1}{5-6} =-3$

Using the slope and the point (6,1) we can write the equation in point slope form as:

y - 1 = -3(x -6)

y = -3x + 18 + 1

y = -3x + 19

In standard form, the equation will be:

3x + y = 19

7 0

3 years ago

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A cylinder has a volume of 83 in3 and is 10 in. tall. What is the radius of the cylinder in inches? Round your answer to the nea

Nataly [62]

To find the radius of the cylinder you will use the volume formula and solve for the radius.

V = pi x r^2 x h
83 = 3.14 x r^2 x 10
83 = 31.4 x r^2; divide both sides by 31.4
r^2 = 2.6; find the square root of 2.6
r = 1.6 in.

The radius is approximately 1.6 in.

3 0

3 years ago

The average of 21 number is 30.And largest of it is 50 if we remove the largest 50 what will be average of remaining number will

VLD [36.1K]

Answer:

Step-by-step explanation:

Sum of the 21 numbers is 21*30 = 630

Now let's remove 50 from the sum of 630

630-50 = 580

The new average can be found. Remember we removed the largest number so we now have 20 numbers.

580/20 = 29

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4 0

2 years ago