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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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B=(2x+3)(4x^2-6x+9)-2(4^3-1)
nexus9112 [7]
B = (2x+3)(4x^2-6x+9)-2(4^3-1)
B = 8x^3-99

Hope it helps : )
5 0
1 year ago
Find the distance between the pair of points<br><br> (0,0)(6,8)
Ivahew [28]
  • A(0,0)
  • B=(6,8)

Distance formula

\boxed{\sf AB=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}

\\ \sf\longmapsto  \sqrt{(6 - 0) {}^{2} +  {(8 - 0)}^{2}  }  \\ \\ \sf\longmapsto  \sqrt{ {6}^{2}  +  {8}^{2} }  \\ \\ \sf\longmapsto  \sqrt{36 + 64  }  \\ \\ \sf\longmapsto  \sqrt{100}  \\ \\ \sf\longmapsto 10

4 0
3 years ago
Providean explanation for each step 12d+2-3d=5
oksano4ka [1.4K]
12d+2-3d=5 collect the like terms
 9d+2= 5  move constant to the right
9d=5-2   subtract the number
9d=3d  divide both sides by 9

answer = d=1/3
 d= \frac{1}{3}
8 0
3 years ago
1,256,667 times 9,254,876 equals 11,630,297,258,292
kotykmax [81]

Answer:

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Step-by-step explanation:

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8 0
3 years ago
What is the logarithmic function modeled by the following table? x f(x) 9 2 27 3 81 4
Nataly_w [17]

Answer:

Required logarithmic function is :

f\left(x\right)=\log_3\left(x\right)

Step-by-step explanation:

We have been fiven that table for the logarithmic function is:

x f(x)

9 2

27 3

81 4

which can be rewritten as:

x f(x)

3^2 2

3^3 3

3^4 4

Which are basically powers of 3

So we can use logarithmic function as

\log_3\left(9\right)=\log_3\left(3^2\right)=2\log_3\left(3\right)=2(1)=2

Hence required logarithmic function is :

f\left(x\right)=\log_3\left(x\right)

8 0
3 years ago
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