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AlladinOne [14]
3 years ago
9

The perpendicular bisector of the line segment connecting the points $(-3,8)$ and $(-5,4)$ has an equation of the form $y = mx +

b$. Find $m+b$.
Mathematics
1 answer:
docker41 [41]3 years ago
5 0

Answer:

m = -1/2 and b = 6.5

Step-by-step explanation:

To find the slope of the original line segment, we have to do the change in y/the change in x:

(4-8)/(-5--3) = -4/-2 = 2

2 is the slope of the original line segment, but since this is the perpendicular bisector, we have to take the negative reciprocal of 2 so m = -1/2

To find b we substitute the values of x, y, and m into the equation. Let's use the x value of -3 and the y value of 8:

y = mx + b

8 = -1/2(-3) + b

8 = 3/2 + b

6.5 = b

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Answer:

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5 0
3 years ago
ALGEBRA 1 ASSIGNMENT QUESTIONS
Nezavi [6.7K]
1. 81 1/2 = 163/2
2. 32 1/5 - 64 1/3 =
   483/15 - 965/15 =
    -482/15 or -32 2/15
3. 16 1/4 = 65/4
4. 49 1/2 + 27 1/3 =
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7 0
3 years ago
7b + 3 – 4b = 3 – 3(b + 4)
svlad2 [7]

Hello from MrBillDoesMath!

Answer:  b

Discussion:

7b + 3 - 4b = 3 - 3(b+4)  =>

7b + 3 - 4b = 3 - 3b -12 =>

(7b - 4b) + 3   = -3b - 9 =>

3b + 3 = -3b -9    =>      Add 9 to both sides

3b + 12 = -3b -9 + 9  =>

3b + 12 = -3b  =>         ( add 3b to both sides)

6b + 12 = 0 =>             (subtract 12 from both sides)

6b = -12 =>

b = -12/6 = -2


Thank you,

MrB


7 0
3 years ago
Find the length of the hypotenuse in the right triangle below. 39in, 52in
Bingel [31]
If two sides of a right triangle are x and y, the hypotenuse, h is:

h^2=x^2+y^2, in this case x and y are 39 and 52 respectively so:

h^2=39^2+52^2

h^2=1521+2704

h^2=4225

h=√4225

h=65 in

So the hypotenuse is 65 inches.
3 0
3 years ago
Read 2 more answers
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nirvana33 [79]
Sinα=h/L  where h=height, L=string length...

h=Lsinα  so

h(25°)=50sin25≈21.1ft

h(45°)=50sin45≈35.4ft
5 0
3 years ago
Read 2 more answers
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