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AlladinOne [14]
4 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]4 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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If f={(-1,-3), (1,1),(2,3),(4,6)} and g={(-1,-1),(1,7),(4,3)} what is (f+g)(4)?
svet-max [94.6K]

Answer:

(f + g)(4) = 9

Step-by-step explanation:

We have that:

f = {(-1,-3), (1,1),(2,3),(4,6)}

this means that:

f(-1) = -3

f(1) = 1

f(2) = 3

f(4) = 6

and we also know that:

g = {(-1,-1),(1,7),(4,3)}

hich means that:

g(-1) = -1

g(1) = 7

g(4) = 3

Now we want to find:

(f + g)(4)

For the general case of two functions f(x) and g(x)

(f + g)(x) = f(x) + g(x)

Then:

(f + g)(4) = f(4) + g(4)

and we know both of these values, so we can just replace them:

(f + g)(4) = f(4) + g(4) = 6 + 3 = 9

Then we get:

(f + g)(4) = 9

5 0
3 years ago
Solve -1.5x=9 '''''''''''''''''''''''''''''''
azamat

Answer:

x = -6

Step-by-step explanation:

-1.5x = 9    Divide the -1.5 on both sides

x = -6

Plug in the answer to make sure it works.

-1.5(6) = 9

9 = 9

3 0
3 years ago
Suppose the geographic area of Los Angeles County is 4,751 square miles. If the state of California has an
kow [346]

Answer:

go get smart and stop cheating on online websites

Step-by-step explanation:

8 0
1 year ago
What do the graphs of the two even degree functions (y = x^2 and y = x^4) have in common?
Dovator [93]

We have been given two functions y=x^2 and y=x^4.

Now questions is asking about what do the graphs of the two even degree functions y=x^2 and y=x^4 have in common.

By property of even edgree polynomial we know that if it starts from top then it will also end at the top.

If it starts from bottom then it will also end in bottom.

In simple words, we can says that even degree polynomial starts and ends in same direction.

Given functions y=x^2 and y=x^4 are also even degree polynomial so common thing about them is that they will start and end in the same direction. (Upward). You can also check the attached graph of both for better guidance.



8 0
3 years ago
Please help me I don't understand this
kondaur [170]
Use the same to solve the rest of the problems. Hope this helps:)

5 0
3 years ago
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