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love history [14]
3 years ago
9

What is the equation of the perpendicular bisector of the segment joining points A(1, 1) and B(5, 7)?

Mathematics
1 answer:
Elden [556K]3 years ago
8 0
Bisector must pass through the mid-point, so we have to find out that mid-point of the segment:

mid point = x₁+x₂ / 2 , y₁+y₂/2
= 1 + 5 / 2 , 1 + 7 / 2
= 6/2 , 8/2
= (3, 4)

Slope of given segment = m = y₂-y₁ / x₂- x₁
m = 7-1 / 5-1
m = 6/4
m = 3/2

Now, segment which is perpendicular, will have the opposite & reciprocal slope, So, it would be: -2/3

We know, y - y₁ = m(x - x₁)
y - 4 = -2/3(x - 3)
y - 4 = -2/3x + 2
y = -2/3x + 6

In short, Your Final Answer would be: y = -2/3x + 6

Hope this helps!
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A bar of soap with dimensions 2 x 4 x 0.5 inches is sold for $3 individually. A three-pack of the same soap costs $8. How much d
LUCKY_DIMON [66]
We know that
volume of a bar of soap=2*4*0.5----> 4 in³

<span>A bar of soap is sold for $3 individually
</span>so
$3/4-----> 0.75 $/in³

<span>A three-pack of the same soap costs $8
so
$8*(3*4)----> 0.67 $/in</span>³

<span>if you buy the three-pack you save-----> [0.75-0.67]=0.08 $/in</span>³

the answer is
$0.08
7 0
3 years ago
What is the answer to 3x – 3 = 18​
Shalnov [3]
The answer is 7
3x-3=18 (take 3 to the other side to solve for x)
3x=18+3 (3 will be positive)
3x=21 (divide both sides by 3)
x=7
8 0
3 years ago
Read 2 more answers
EXTRA POINTS! FIND THE MISSING DIMENSION! NEED ASAP
yanalaym [24]

Answer:

x = 10.5 in

Step-by-step explanation:

The rectangles are similar, thus the ratios of corresponding sides are equal.

that is \frac{7}{2} = \frac{x}{3} ( cross- multiply )

2x = 21 ( divide both sides by 2 )

x = 10.5


7 0
3 years ago
Read 2 more answers
Francesca tried to evaluate an expression. Here is her work: 3(5)2–18÷3 = 3(25)–18÷3 = 75–18÷3 = 57÷3 = 19 Is Francesca's work c
hram777 [196]

Answer:

Nope. Moltiplication (and thus divisions) has to be done before any addition or subtractions, unless parenthesis indicate otherwise.

3(5)^2 - 18\div 3 = 3(25) - 6 = 75-6=69

5 0
2 years ago
What is the answer? pls
Alex777 [14]

Answer:

C + D

\frac{3}{4} (x + 8 )= -12

\frac{3}{4} x +6 = -12

4 0
2 years ago
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