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s344n2d4d5 [400]
2 years ago
11

Find an equation for the perpendicular bisect or of the line segment whose end points are (-2,-4) and (8,2)

Mathematics
1 answer:
Serhud [2]2 years ago
4 0

Answer:

, you must find the midpoint of the segment, the formula for which is

(

x

1

+

x

2

2

,

y

1

+

y

2

2

)

. This gives

(

−

5

,

3

)

as the midpoint. This is the point at which the segment will be bisected.

Next, since we are finding a perpendicular bisector, we must determine what slope is perpendicular to that of the existing segment. To determine the segment's slope, we use the slope formula

y

2

−

y

1

x

2

−

x

1

, which gives us a slope of

5

.

Perpendicular lines have opposite and reciprocal slopes. The opposite reciprocal of

5

is

−

1

5

.

We now know that the perpendicular travels through the point

(

−

5

,

3

)

and has a slope of

−

1

5

.

Solve for the unknown

b

in

y

=

m

x

+

b

.

3

=

−

1

5

(

−

5

)

+

b

⇒

3

=

1

+

b

⇒

2

=

b

Therefore, the equation of the perpendicular bisector is

y

=

−

1

5

x

+

2

.

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What is the width of a rug that is 36 1/4 square feet and 8 3/4 wide
blondinia [14]

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<u>Step-by-step explanation:</u>

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Length (L): 8\frac{3}{4} = \frac{4(8)+3}{4} = \frac{32+3}{4} = \frac{35}{4}

width (w): W

A = L x W

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(\frac{4}{35})\frac{145}{4} = (\frac{4}{35})\frac{35}{4} x W

\frac{4(145)}{35(4)} = \frac{145}{35} = \frac{5(29)}{5(7)} = \frac{29}{7} = W

\frac{29}{7} = \frac{7(4) + 1}{7} = 4\frac{1}{7}

8 0
3 years ago
Lisa is cooking muffins. The recipe calls for 7 cups of sugar.  She has already put in 2 cups.  How many more cups does she need
Tresset [83]

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3 years ago
Q6: Find the first 3 terms of the sequence: a1 = 12, an = 3an-1 – 21<br> ,n&gt;2
trapecia [35]

Answer:

See below

Step-by-step explanation:

1. 12

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6 0
2 years ago
What would be the answer for 24y =7
Marta_Voda [28]

Answer:

y=\frac{7}{24}

Step-by-step explanation:

24y = 7

Our primary objective here is to get y on it's own side, without any numbers attached.

Since a 24 is attached to the y, we have to divide the 24y by 24.

24y=7

\frac{24y}{24} = \frac{7}{24}

Remember that whatever we do to one side, we MUST do to the other.

y=\frac{7}{24}

Since \frac{7}{24} can't be simplified, that would be our answer.

Please let me know if you need help with anything else. :)

5 0
3 years ago
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