Simplify the expression.

9966 [12]

Based on the above, the segments that are perpendicular to EF are LM and NP.

<h3>Why is the segment are LM and NP perpendicular to EF ?</h3>

Note that when two lines are perpendicular, we can say that;

M1 * M2 = -1 As M1 and M2 are known to be the slopes of the lines.

Therefore, when the the slope of EF is said to be −5/2, then one can say that the slope of the segment that is said to be perpendicular to EF will have to be equal to m1*m2=-1, m2=-1/m1, m2=-1/(-5/2) or m2=2/5.

Scenario one:

JK , if J is at (3, −2) and K is at (5, −7)

To find the slope JK, then

m=(y2-y1)/x2-x1)

m=(-7+2)/(5-3)

m=-5/2

-5/2 is not equal to 2/5

Therefore, JK is not perpendicular to EF

Scenario 2

Find GH , when G is at (6, 7) and H is at (4, 12)

To find the slope GH

m=(y2-y1)/x2-x1)

m=(12-7)/(4-6)

m=5/-2

m=-5/2

Since -5/2 is not equal to 2/5 then GH is not perpendicular to EF

Scenario 3:

Find LM , If L is at (1, 9) and M is at (6, 11)

To find the slope LM, then

m=(y2-y1)/x2-x1)

m=(11-9)/(6-1)

m=2/5

Since 2/5 is equal to 2/5

Then LM is perpendicular to EF

Scenario 4:

Find NP , if N is at (−3, 4) and P is at (−8, 2)

To find the slope NP, then

m=(y2-y1)/x2-x1)

m=(2-4)/(-8+3)

m=-2/-5

m=2/5

Since 2/5 is equal to 2/5.

Therefore, NP is perpendicular to EF

Based on the above calculations, the segments that are perpendicular to EF are LM and NP.

See correct format of question written below

The slope of EF is −5/2 .

Which segments are perpendicular to EF?

Select all the right answers please

1. JK , where J is at (3, −2) and K is at (5, −7)

2. GH , where G is at (6, 7) and H is at (4, 12)

3. LM , where L is at (1, 9) and M is at (6, 11)

4. NP , where N is at (−3, 4) and P is at (−8, 2)

Learn more about segments from

brainly.com/question/10565562

#SPJ1

5 0

2 years ago

24% of U.S. adults say they are more likely to make purchases during a sales tax holiday. you randomly select 10 adults. find th

neonofarm [45]

Answer:

a) $p(X= 2) = 0.261$

b) P(x>2) = 0.566

c) P(2<x<5) = 0.334

Step-by-step explanation:

Given 24% of U.S. adults say they are more likely to make purchases during a sales tax holiday

Probability 0f U.S. adults say they are more likely to make purchases during a sales tax holiday (p) = 0.24

n = 10

By using Poisson distribution

mean number of make purchases during a sales tax holiday

λ = np = 10 X 0.24 = 2.4

a)

The probability of getting exactly '2'

The probability $p(X= 2) = e^{-\alpha } \frac{\alpha^r }{r! }$

$p(X= 2) = e^{2.4 } \frac{\(2.4)^2 }{2! }$

$p(X= 2) = e^{2.4 } \frac{\(2.4)^2 }{2! }= 0.261$

b) The probability of getting more than '2'

$P(X>2) = 1- {p(x=0)+p(x=1)+p(x=2)}$

$= e^{-2.4 } \frac{(2.4)\^0 }{0! }+ e^{-2.4 } \frac{(2.4)\^1 }{1!}+e^{-2.4 } \frac{(2.4)\^2 }{2!}$

= 0.090 + 0.2177+0.261 = 0.566

P(x>2) = 0.566

c) The probability of getting between two and five

P( 2<x<5) = P(x=3)+p(x=4) = $= e^{-2.4 } \frac{(2.4)\^3 }{3! }+ e^{-2.4 } \frac{(2.4)\^4 }{4!}+$

P(2<x<5) = 0.2090 + 0.125 = 0.334

4 0

3 years ago

Billy has some nickels and dimes worth $3.25. He has 3 times as many nickels as dimes. How many nickels does he have?

geniusboy [140]

$3d=n$

$10d+5n=325$

$10d+15d=325$

$25d=325$

$d=13$

$n=39$

Hope this helps.

頑張って!

5 0

3 years ago

Read 2 more answers

This week Melisa studied a total of 28 hours

balu736 [363]

Answer:

7 hours

Explanation:

This week Melisa studied for 28 hours. Last week she studied 1/4'th of it.

So to find last week study hours. Divide this weeks study hours by 4.

Last week study hours:

this week study hours ÷ 4

$\sf \rightarrow \dfrac{28}{4}$

$\sf \rightarrow \dfrac{7}{1}$

$\sf \rightarrow 7$

8 0

2 years ago

Read 2 more answers

On the unit circle, where I <0<2, when is tan 0 undefined?

Ilya [14]

Answer:

can you please be more specific? Maybe add more info.

Step-by-step explanation:

7 0

3 years ago