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Digiron [165]
3 years ago
8

the end point of a line segment are (13,-15) and (m,-9) what is the value of m if the midpoint of the line segment is (10,-12).

pls help ASAP
Mathematics
1 answer:
grandymaker [24]3 years ago
6 0

Answer:

10=(13-m)/2

20-13=-m

-7=m

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Naya [18.7K]

Answer:

1. Point C ( 0; 5 )

2. Point K ( 2; -3 )

3. Point N ( -6; -5 )

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7 0
3 years ago
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What is the sum of the geometric series
lbvjy [14]
If S denotes the sum of the first n terms of a geometric series with first term a and common ratio r, then

S=a+ar+ar^2+\cdots+ar^{n-3}+ar^{n-2}+ar^{n-1}
rS=ar+ar^2+ar^3+\cdots+ar^{n-2}+ar^{n-1}+ar^n
\implies S-rS=a+(ar-ar)+(ar^2-ar^2)+\cdots+(ar^{n-1}-ar^{n-1})-ar^n
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Using summation notation, you have

S=\displaystyle\sum_{x=1}^nar^{x-1}=\sum_{x=0}^{n-1}ar^x=a\dfrac{1-r^n}{1-r}

In this case, you have a=2, r=\dfrac12, and n=16. So the value of the sum is

\displaystyle\sum_{x=0}^{15}2\left(\frac14\right)^x=2\dfrac{1-\left(\frac14\right)^{16}}{1-\frac14}\approx2.67

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4 0
4 years ago
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What is the value of p in the equation 1/4(8-4p)+2p=12
Natalka [10]

Solution is 10. How?

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7 0
3 years ago
In the coordinate plane, what is the length of the line segment that connects points at (5,4) and (-3,-1)
baherus [9]

Answer:

9.434 units

Step-by-step explanation:

Given data

points (5,4) and (-3,-1)

x1= 5

y1= 4

x2= -3

y2= -1

The expression for the distance between two points is

d=√((x_2-x_1)²+(y_2-y_1)²)

substitute

d=√((-3-5)²+(-1-4)²)

d=√((-8)²+(-5)²)

d=√64+25

d=√89

d=9.4339

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Hence the distance between the points is 9.434 units

8 0
3 years ago
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Answer:

The answer is 37

Step-by-step explanation:

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