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marta [7]
2 years ago
14

Please help! Which line would be perpendicular?

Mathematics
1 answer:
givi [52]2 years ago
8 0

Answer:

  • D. -2x + 2y = 1

Step-by-step explanation:

<u>When the line is given in standard form:</u>

  • ax + by = c, it has slope of -a/b

<u>Given line:</u>

  • 4x + 4y = 3

<u>It has a slope:</u>

  • m = -4/4 = -1

A line perpendicular to the given should have a slope m = 1 as negative reciprocal to the given

<u>Let's see which line has the slope of 1:</u>

  • 1. m = -(-1)/6 = 1/6 - NO
  • 2. m = -4/4 = -1 - NO
  • 3. m = -2/4 = -1/2 - NO
  • 4. m = -(-2)/2 = 1 - YES

Correct option is D

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NISA [10]

Answer:

W÷9=z

Step-by-step explanation:

18÷9=2

45÷9=5

81÷9=9

Z is the quotient of W when divided by 9.

4 0
3 years ago
Customers arrive at a restaurant according to a Poisson distribution at a rate of 20 customers per hour. The restaurant opens fo
jenyasd209 [6]

Answer:

0.087

Step-by-step explanation:

Given that there were 17 customers at 11:07, probability of having 20 customers in the restaurant at 11:12 am could be computed as:

= Probability of having 3 customers in that 5 minute period. For every minute period, the number of customers coming can be modeled as:

X₅ ~ Poisson (20 (5/60))

X₅ ~ Poisson (1.6667)

Formula for computing probabilities for Poisson is as follows:

P (X=ₓ) = ((<em>e</em>^(-λ)) λˣ)/ₓ!

P(X₅= 3) = ((<em>e</em>^(-λ)) λˣ)/ₓ! =  (e^-1.6667)((1.6667²)/3!)

P(X₅= 3) = (2.718^(-1.6667))((2.78)/6)

P(X₅= 3) = (2.718^(-1.6667))0.46

P(X₅= 3) = 0.1889×0.46

P(X₅= 3) = 0.086894

P(X₅= 3) = 0.087

Therefore, the probability of having 20 customers in the restaurant at 11:12 am given that there were 17 customers at 11:07 am is 0.087.

8 0
3 years ago
The line y=2/5x +7 is dilated by a scale factor of 4 centered at the point (5,9). What equation represents the image of the lone
Serjik [45]

Answer:

Step-by-step explanation:

I don’t understand

7 0
2 years ago
Someone please give me the answers...And thank you
ale4655 [162]

Answer:

Step-by-step explanation:

1) 4x + 3 <= 3x - 5

Subtract 3 from both sides

4x + 3-3  <= 3x - 5 -3

4x  <= 3x - 8

Subtract 3x form both sides

4x - 3x <= 3x -3x - 8

x <= -8

6 0
3 years ago
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HELP I WILL GIVE BRAINLEIST OR WHATEVER 50 POINTS​
Ilya [14]

answer:

a. scarf costs today = $6

b. scarf costs 3 days from now = $3

step-by-step explanation:

  • 1/2 off means you would multiply the amount by 1/2 then subtract

a. original price of scarf: $12

12 X 1/2 = 6

12 - 6 = 6

— scarf costs today = $6

  • do the same thing but this time it is a different number

b. 12 X 3/4 = 9

12 - 9 = 3

— scarf costs 3 days from now = $3

3 0
3 years ago
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