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3 years ago

Find the equation of the line with the given slope that passes through the given point. Write the

Mathematics

1 answer:

Lesechka [4]3 years ago

5 0

Answer:

y - 5 = 6(x - 2)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = 6 and (a, b) = (2, 5), thus

y - 5 = 6(x - 2)

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A cylinder has a height of 4 inches greater than the radius of its base. Find the radius and the height to the nearest inch if t

anastassius [24]

Answer:

$h=5in, r=1in$

Step-by-step explanation:

The volume of a cylinder is:

$V=\pi*r^2*h$

where $r$ is the radius and $h$ is the height.

The height is 4 inches greater that the radius, so:

$h=r+4in$

Substituting this in the formula for volume:

$V=\pi*r^2*(r+4)$

the volume is $V=5\pi in^3$

thus:

$5\pi in^3=\pi*r^2*(r+4in)$

Dividing everything between pi:

$5in^3=r^2*(r+4in)$

$5in^3=r^3*+4r^2$

We can see that the solution for this is $r=1in$

since $(1)^3*+4(1)^2=1+4=5$

We have the radius, now we find the height:

$h=r+4in=1in + 4in = 5in$

$h=5in, r=1in$

7 0

3 years ago

Read 2 more answers

Lucy made 3 cakes that each weighed 32 ounces. how many pounds of cake did lucy make

Anna11 [10]

There are 16 ounces in a pound. 3 x 32= 96
96/16=6

Lucy made 6 pounds of cake. Hope this helped!

5 0

2 years ago

Read 2 more answers

In 1950, scientist estimated a certain animal population in a particular geographical area to be 6400 in 2000, the population ha

irina1246 [14]

Answer:

8,100

Step-by-step explanation:

7,200 - 6,400 = 800 increased in 50. Years

What percentage is 800 of 6,400 (%/100 = is/of)

x/100 = 800/6400 (cross multiply)

(800*100)/6400 = 12.50%

(12.50 * 7200)/100 = 900 increased

7,200 + 900 = 8,100

7 0

2 years ago

What is the greatest common factor of 20, 50, and 25

steposvetlana [31]

Answer:

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Factor completely 2x2 - 6x - 56.

Gwar [14]

Answer:

your questions is wrong it's 2×2-6x=56

answer= X=-9

Step-by-step explanation:

2×2-6x=56

4-6x=56

-6x=56-4

-6x=54

-X=54/6

-X=9

X=-9

3 0

2 years ago