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kati45 [8]
3 years ago
8

Find the midpoint of the segment with the following endpoints (-5,-1) and (1,9)

Mathematics
1 answer:
Bogdan [553]3 years ago
4 0

Answer:

(x1,y1),(x2,y2)

(x1,y1)=(-5,-1)   (x2,y2)=(1,9)= (1-5/2, 9-1/2)

your answer:

(-2,4)

Step-by-step explanation:

You might be interested in
When a polynomial is divided by (x+2), the remainder is -19. When the same polynomial is divided by (x-1), the remainder is 2. D
NeTakaya
<h3>Answer:   7x - 5</h3>

============================================

Explanation:

We're dividing some unknown polynomial P(x) over (x+2) to get a quotient Q1(x) and remainder -19. That must mean

P(x)/(x+2) = Q1(x) - 19/(x+2)

P(x) = Q1(x)*(x+2) - 19

Note that plugging in x = -2 leads to P(-2) = -19. This is an example of the remainder theorem.  

Similarly,

P(x) = Q2(x)*(x-1) + 2

since dividing by (x-1) leads to a remainder of 2. We have P(1) = 2.

We'll use P(-2) = -19 and P(1) = 2 in the later sections below.

----------------

We want to find the value of r such that

P(x) = Q3*(x+2)(x-1) + r

Let's say that r = ax+b

Meaning we now have

P(x) = Q3*(x+2)(x-1) + r

P(x) = Q3*(x+2)(x-1) + ax+b

The goal from here is to find 'a' and b so we can get the remainder ax+b.

----------------

Plug in x = -2 and solve for b.

P(x) = Q3*(x+2)(x-1) + ax+b

P(-2) = Q3*(-2+2)(-2-1) + a(-2)+b

-19 = Q3*(0)(-3)-2a+b

-19 = -2a+b

b = 2a-19

----------------

Plug in x = 1 to get...

P(x) = Q3*(x+2)(x-1) + ax+b

P(1) = Q3*(1+2)(1-1) + a(1)+b

P(1) = a+b

2 = a+b

a+b = 2

a+(2a-19) = 2 .... plug in b = 2a-19

3a-19 = 2

3a = 19+2

3a = 21

a = 21/3

a = 7

Use that value to find b

b = 2a-19

b = 2(7)-19

b = 14-19

b = -5

----------------

We found that a = 7 and b = -5.

The remainder ax+b updates to the final answer 7x-5

6 0
3 years ago
Complete the pattern 5, 9, 17, 33, ____, 129
k0ka [10]
The answer should be 65.  The number be added is doubled.  +4,+8, +16, +32 So 32+33=65       65+64=129
7 0
3 years ago
What are the x and y-intercepts of the line described by the equation?<br><br> 3x−9y=10.8
marysya [2.9K]

3x-9y=10.8\\\\x-intercept\ for\ y=0:\\\\3x-9(0)=10.8\\\\3x-0=10.8\\\\3x=10.8\qquad\text{divide both sides by 3}\\\\\boxed{x=3.6\to(3.6,\ 0)}\\\\y-intercept\ for\ x=0:\\\\3(0)-9y=10.8\\\\0-9y=10.8\\\\-9y=10.8\qquad\text{divide both sides by (-9)}\\\\\boxed{y=-1.2\to(0,\ -1.2)}

3 0
3 years ago
What is 6.1 divided by 9<br> (step by step)
QveST [7]
Use division or long division (ignore the decimal point)
Then put the decimal in the same spot as the dividend (the number being divided)
6 0
3 years ago
Read 2 more answers
Three years ago the average price of a movie ticket was $8.75 and now it is $11.00. What was the annual multiplier and the perce
Andrei [34K]
Given:
Price of tickets:
3 years ago - 8.75 
now - 11

annual multiplier:

b³ = 11/8.75 
b = ∛11/8.75
b = 1.079

The annual multiplier is 1.079.

1.079 * 100% = 107.9%

107.9% - 100% = 7.9%

The percentage increase is 7.9%


8 0
3 years ago
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