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MrRa [10]
3 years ago
7

The given line segment has a midpoint at (−1, −2).

Mathematics
2 answers:
sertanlavr [38]3 years ago
7 0

Answer:  

Option 2 is correct. y=-4x-6

Explanation:

We are given a point (-1,-2). This is mid point of given segement.

Let AB be asegement with mid point M(-1,-2) as shown in figure.

We need to find the equation line in slope intercept form which is perpendicular bisector of segement AB.

As we know perpendicular bisector line always passing through the mid point of segement.

So, we will check given point (-1,-2) with all option to satisfy.

Option 1) y=-4x-4

Put x=-1 and y=-2 into equation and we get

-2=-4(-1)-4

-2\neq 0

Does't satisfy this equation. This won't be a solution.

Option 2) y=-4x-6

Put x=-1 and y=-2 into equation and we get

-2=-4(-1)-6

-2=-2

(-1,-2) satisfy given equation y=-4x-6. This would be solution.

Option 3) y=x-4

Put x=-1 and y=-2 into equation and we get

-2=-1-4

-2\neq -5

Does't satisfy this equation. This won't be a solution.

Option 4) y=x-6

Put x=-1 and y=-2 into equation and we get

-2=-1-6

-2\neq -7

Does't satisfy this equation. This won't be a solution.

marusya05 [52]3 years ago
5 0
Y = -4x - 6. This is the only option that goes through the given point. 
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Paraphin [41]

Answer:

A) increases

Step-by-step explanation:

5/x + 5

suppose x = 5; then 5/5 + 5 = 1 + 5 = 6

            x = 2; then    5/2 + 5 = 2.5 + 5 = 7.5

            x = 1 ;then 5/1 + 5 = 5 + 5 = 10

So when x value decreases from a large positive number to a small positive number, 5/x + 5 increases

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3 years ago
What is the measure of angle A?
fgiga [73]

Answer:

∠A=65º

Step-by-step explanation:

  • A angle of a line is 180º, so we can say that angle ABC=(180-6x)º
  • The interior angkes of a triangle is 180º, so (x+40)º+(3x+10)º+(180-6x)º=180º
  • Remove parenthesis, x+40+3x+10+180-6x=180
  • Combine like terms, -2x+230=180
  • Subtract 180, -2x=-50
  • Divide by -2, so x=25

Now:

  • ∠CAB=(25+40)º=65º
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Factor p^4-81 completely showing all work.
3241004551 [841]

Answer:

Step-by-step explanation:

p^4-81=(p^2)^2-9^2=(p^2+9)(p^2-9)=(p^2-9(-1))(p+3)(p-3)\\=(p^2-9i^2)(p+3)(p-3)\\=(p+3i)(p-3i)(p+3)(p-3)

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-1 + n=8(n+6) what does n equal?
Gelneren [198K]
<span>-1 + n=8(n+6)
Use distributive property
-1 + n= 8n + 48
Subtract n from both sides
-1= 7n + 48
Subtract 48 from both sides
-49= 7n
Divide 7 on both sides so that the only thing remaining on the right sides is the varible n.
Final Answer: -7 = n</span>
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If you use the common denominator of .5 for both sides of the ratio, you will arrive at 3:5 as a simplified form.
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