Line m passes through (4, 7) and (8, 2). Line n is parallel to line m. What is the slope

In which step did Honi make the mistake

olasank [31]

Honi maded the mistake in step 1

4 0

2 years ago

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The end points of a diameter of a circle are (6,2) and (-4,7).

motikmotik

Answer:

Step-by-step explanation:

The standard form equation of a circle with radius r is expressed as

( x − h )^2 + ( y − k )^2 =r ^2 ,

where r represents the radius

h and k are the coordinates of the center of the circle C( h , k )

To determine the coordinates at the center of the circle, the midpoint formula would be used. It is expressed as

[(x1 + x2)/2 , (y1 + y2)/2]

Midpoint of the circle =

(6 - 4)/2 , (2 + 7)/2 = (1, 4.5)

h coordinate of the center = 1

k coordinate of the center = 4.5

r^2 = (x - h)^2 + (2 - k)^2

r^2 = (6 - 1)^2 + (2 - 4.5)^2

r^2 = 5^2 + (- 2.5)^2 = 25 + 6.25

r^2 = 31.25

Substituting r^2 = 31.25, h = 1 and k = 4.5 into (x − h )^2 + ( y − k )^2 = r^2, the standard equation of the circle becomes

(x − 1 )^2 + ( y − 4.5 )^2 = 31.25

3 0

3 years ago

Write a function rule for the volume of the cylinder shown at the right with a height 3 in more than 4 times the radius of the c

Ludmilka [50]

we know that

The volume of a cylinder is equal to

$V=\pi r^{2} h$

where

r is the radius of the base

h is the height of the cylinder

In this problem

$h=3+4r$

For $r=2\ in$

Find the value of h

$h=3+4*2$

$h=11\ in$

Find the volume of the cylinder

$V=\pi*2^{2}*11$

$V=44*\pi\ in^{3}= 138.2\ in^{3}$

therefore

the answer is

The volume of a cylinder is equal to $138.2\ in^{3}$

8 0

2 years ago

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Kevin bought 3 pencils that cost $0.45 each. He also bought 2 packs of colored pencils that cost $2.97 each. Finally, he bought

makvit [3.9K]

Answer:

Step-by-step explanation:ons are in the crayon box.If there are 4 rows of 19 crayons,ons are in the crayon box.If there are 4 rows of 19 crayons,ons are in the crayon box.If there are 4 rows of 19 crayons,ons are in the crayon box.If there are 4 rows of 19 crayons,ons are in the crayon box.If there are 4 rows of 19 crayons,ons are in the crayon box.If there are 4 rows of 19 crayons,ons are in the crayon box.If there are 4 rows of 19 crayons,ons are in the crayon box.If there are 4 rows of 19 crayons,ons are in the crayon box.If there are 4 rows of 19 crayons,ons are in the crayon box.If there are 4 rows of 19 crayons,v

ons are in the crayon box.If there are 4 rows of 19 crayons,

3 0

3 years ago

An angle with a measure of 180 degrees is formed by two __________ __________.

mario62 [17]

By two opposite rays.

The explanation is the straight angle is the only type of angle formed by two opposite rays. All other angles formed by two rays are less than 180 degrees. Acute angles are between zero and 90 degrees. A right angle, with one ray perpendicular to another, is 90 degrees.

Hope it helped! :)

4 0

3 years ago