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3 years ago

7

The opening of a bird's nest is in the form of a circle the opening has a diameter of 18 centimeters which measurement is closet

to the circumference of the opening in centimeters

2 answers:

Fittoniya [83]3 years ago

8 0

Answer:

The answer is either 18pi or 56.55

Step-by-step explanation:

Marat540 [252]3 years ago

6 0

The correct answer is 18 pi

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Indicate the equation of the line, in standard form, that is the perpendicular bisector of the segment with endpoints (4, 1) and

jenyasd209 [6]

Equation of a line is $x+3y =-3$ .

<h3>What is a perpendicular bisector of the line segment?</h3>

A perpendicular bisector is a line that cuts a line segment connecting two points exactly in half at a 90 degree angle. To find the perpendicular bisector of two points, all you need to do is find their midpoint and negative reciprocal, and plug these answers into the equation for a line in slope-intercept form.

Given that,

Endpoints of the line segment are ( $x_{1},y_{1}$ ) = (4, 1) and ( $x_{2},y_{2}$ ) = (2, -5).

First find the midpoints of the given line segment.

M = $\left(\frac{x_{1}+x_{2} }{2},\frac{y_{1}+y_{2} }{2}\Right)$

= $\left(\frac{4+2 }{2},\frac{1-5 }{2}\Right)$

M = $(3,-2)$

Now, Find the slope of the line :

It is perpendicular to the line with (4,1) and (2,-5)

Slope between ( $x_{1},y_{1}$ ) and ( $x_{2},y_{2}$ ) = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

so,

the slope between (4,1) and (2,-5) = $\frac{-5-1 }{2-4 }$

= 3

perpendicular lines have slopes the multiply to get -1

3 times m=-1

m= $\frac{-1}{3}$

The equation of a line that has a slope of m and passes through the midpoints M(3,-2) is

$y-y_{1} =m(x-x_{1} )$

$y-(-2) =\frac{-1}{3} (x-3 )$

$(y+2) =\frac{-1}{3} (x-3 )$

if we want slope intercept form

$(y+2) =\frac{-1}{3} x+1$

$y= \frac{-1}{3} x-1$

If we want standard form

$\frac{1}{3} x+y = -1$

$x+3y =-3$

Hence, Equation of a line is $x+3y =-3$ .

To learn more about perpendicular bisector of the line segment from the given link:

brainly.com/question/4428422

#SPJ4

7 0

1 year ago

Simplify:<br><br>7j-6k-5j+4k<br><br>also what is 30% of 520

alukav5142 [94]

The first one simplified is 2j-2k 30% of 520 is 156

7 0

3 years ago

Write an equation of the line that passes through the given point and is parallel to the given line.

Margaret [11]

Answer:

Part 40) $y=-2x+9$

Part 41) $y=5x+6$

Part 42) $y=\frac{2}{3}x+\frac{4}{3}$

Step-by-step explanation:

Remember that

If two lines are parallel, then their slopes are the same

Part 40) Write an equation of the line that passes through the given point

and is parallel to the given line

we have

Point (4,1)

Given line y=-2x+7

step 1

Find the slope of the given line

The given line is a equation of the line in slope intercept form

$y=mx+b$

where

m is the slope

b is the y-intercept

so

The slope of the given line is

$m=-2$

step 2

Find the y-intercept b

we have

$m=-2$

$(4,1)$

substitute in the linear equation

$1=(-2)4+b$

solve for b

$b=1+8$

$b=9$

step 3

Find equation of the line that passes through the given point and is parallel to the given line

we have

$m=-2$

$b=9$

substitute

The equation of the line is

$y=-2x+9$

Part 41) Write an equation of the line that passes through the given point

and is parallel to the given line

we have

Point (0,6)

Given line y=5x-3

step 1

Find the slope of the given line

The given line is a equation of the line in slope intercept form

$y=mx+b$

where

m is the slope

b is the y-intercept

so

The slope of the given line is

$m=5$

step 2

Find the y-intercept b

$b=6$ ----> because the y-intercept is the point (0,6) (value of y when the value of x is equal to zero)

step 3

Find equation of the line that passes through the given point and is parallel to the given line

we have

$m=5$

$b=6$

substitute in the linear equation

$y=5x+6$

Part 42) Write an equation of the line that passes through the given point

and is parallel to the given line

we have

Point (-5,-2)

Given line y=(2/3)x+1

step 1

Find the slope of the given line

The given line is a equation of the line in slope intercept form

$y=mx+b$

where

m is the slope

b is the y-intercept

so

The slope of the given line is

$m=\frac{2}{3}$

step 2

Find the y-intercept b

we have

$m=\frac{2}{3}$

$(-5,-2)$

substitute in the linear equation

$-2=(\frac{2}{3})(-5)+b$

solve for b

$-2=-\frac{10}{3}+b$

$b=-2+\frac{10}{3}$

$b=\frac{4}{3}$

step 3

Find equation of the line that passes through the given point and is parallel to the given line

we have

$m=\frac{2}{3}$

$b=\frac{4}{3}$

substitute

The equation of the line is

$y=\frac{2}{3}x+\frac{4}{3}$

3 0

3 years ago

What is the contrapositive of the conditional statement?

Gemiola [76]

The answer is B because 11th grade is high school and Jerrod is technically in high school

8 0

2 years ago

You have earned $200 doing chores how long will it take to triple your money if you keep it in an account earning 4.25 compound

Alekssandra [29.7K]

Answer:

25.85 years

Step-by-step explanation:

Use the formula for continuous compounding amount:

A = Pe^(r*t), where r is the interest rate as a decimal fraction, P is the initial amount, and t is the time in years.

Here we have:

A = $200e^(0.0425*t) = 3($200) (this is triple the original amount)

Solve this for t. Divide both sides by $200 and then use natural logs:

1e^(0.0425*t) = 3

Then 0.0425*t = ln 3 = 1.0986

Dividing both sides by 0.0425 will isolate t:

1.0986

t = --------------- = 25.85 years

0.0425

6 0

3 years ago

Read 2 more answers