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k0ka [10]
3 years ago
15

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

(2, -5).
Mathematics
1 answer:
Anika [276]3 years ago
3 0

9514 1404 393

Answer:

  x +3y = -3

Step-by-step explanation:

The midpoint of the segment with the given end points is ...

  M = ((4, 1) +(2, -5))/2 = (6, -4)/2 = (3, -2)

The difference between coordinates of the given points is ...

  (∆x, ∆y) = (4, 1) -(2, -5) = (2, 6)

__

The equation of the perpendicular bisector can be written as ...

  ∆x(x -h) +∆y(y -k) = 0 . . . . line through (h, k) ⊥ to one with slope ∆y/∆x

  2(x -3) +6(y -(-2)) = 0

  2x +6y +6 = 0 . . . . . simplify to a general-form equation

To put this in standard form, we need the constant on the right, and all numbers mutually prime. We can subtract 6 and divide by 2 to get there.

  2x +6y = -6

  x + 3y = -3

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Stanley has a collection of seashells. He found 35% of his collection on Florida beaches. If Stanley has 49 seashells from Flori
Serjik [45]

Answer:

The number of seashells he have in his collection all together is 140.

Step-by-step explanation:

Given:

Stanley has a collection of seashells. He found 35% of his collection on Florida beaches.

Stanley has 49 seashells from Florida.

Now, to find the number of seashells of his collection altogether.

Let the number of seashells all together be x.

Percentage of seashells found on Florida beaches = 35%.

Number of seashells found on Florida beaches = 49.

Now, to get the number of seashells altogether we put an equation:

35\%\ of\ x=49.

⇒ \frac{35}{100} \times x=49

⇒ 0.35\times x=49

⇒ 0.35x=49

Dividing both sides by 0.35 we get:

⇒ x=140.

Therefore, the number of seashells he have in his collection all together is 140.

4 0
3 years ago
Please help. i will brainlist you
Lostsunrise [7]

Answer:

first question:

range-22

IQR-13

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range-26

IQR-15.5

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7 0
3 years ago
How can you rewrite P(z £ –1.75) in order to find the answer? P(z £ 1.75) P(z ³ -1.75) 1 - P(z £ -1.75) 1 - P(z £ 1.75)
Fudgin [204]
To rewrite it the answer is 1-P(z 1.75) D

5 0
3 years ago
Read 2 more answers
Help how do I do this!!!!
e-lub [12.9K]
In order to find each one, we need to divide 23.96/4 to find what each pound costs. After dividing, you get 5.99. Each pound costs 5.99. So for the first one just multiply 2x5.99 and get 11.98. And the second one shows 17.97 so we can just divide 17.97 by 5.99 and get 3. Just work off of that and you’ll get the rest! But the answer would turn out to be C because you add 5.99 to 23.96 and you get 29.95! Hope this helped
6 0
2 years ago
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Twelve subtracted from twelve times a number is 240. What is the number?
vovangra [49]

Answer:

21

Step-by-step explanation:

Let x = the number

12x-12 = 240

12x = 252

x = 21

5 0
2 years ago
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