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Ganezh [65]
3 years ago
14

PLEASE HURRY!!!!!!!

Mathematics
2 answers:
nika2105 [10]3 years ago
8 0

Answer:

The mid-point of the given line segment is:(5.5,-6.5)

Step-by-step explanation:

let us consider two points A and B with coordinates (a,b) and (c,d) respectively.

let C be the mid point of A and B then then the coordinates of C is given by (\frac{a+c}{2},\frac{b+d}{2}).

in the given question (a,b)=(9,-8) and (c,d)=(2,-5) so the mid point of these two points are (\frac{9+2}{2},\frac{-8-5}{2})=(5.5,-6.5)

Hence, the coordinates of the midpoint of the line segment with endpoints B(9,-8) and C(2,-5) is (5.5,-6.5).

Vikki [24]3 years ago
7 0

( (9 + 2 ) / 2 , ( -8 + -5 ) / 2 )  =

 

<span>(  11/2 , -13/2 )</span>

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The 17th term of an Arithmetic sequence is 51. If the commons difference is 7, what is the first term ?
vovikov84 [41]

Answer:

The first term is:

  • a_1=-61

Step-by-step explanation:

The arithmetic sequence is defined by

a_n=a_1+\left(n-1\right)d

where

a_1 is the first term

d is the common difference

as

the 17th term of an arithmetic sequence is 51.

i.e. a_{17}=51

so

a_n=a_1+\left(n-1\right)d

a_{17}=a_1+\left(17-1\right)d        

51=a_1+\left(17-1\right)7         ∵ n = 17, a_{17}=51 , d=7

a_1+112=51                   ∵ \left(17-1\right)\cdot \:\:7=112

a_1=-61

Therefore, the first term is:

  • a_1=-61
8 0
2 years ago
Write a polynomial equation of degree 3 such that two of its roots are 2 and an imaginary number
natta225 [31]
(x-2)(x^2+1)=x^3+x-2x^2-2=x^3-2x^2+x-2
5 0
3 years ago
List the base-5 numbers of the decimals 16 to 32.
zhenek [66]
18 20 22 24 26 28 30
7 0
3 years ago
The length of a rectangular prism is 12 inches, and its width is 8 inches. The height of the prism is 16 inches. What is the sur
finlep [7]

Answer:

The answer to your question is letter B

Step-by-step explanation:

Data

length = 12 in

width = 8 in

height = 16 in

surface area = ?

Formula

Surface area = 2( length x width) + 2(length x height) + 2((width x height)

Substitution

Surface area = 2(12 x 8) + 2(12 x 16) + 2(8 x 16)

Simplification

Surface area = 256 + 384 + 102

Result

Surface area = 832 in²

7 0
3 years ago
Kent multiplies both sides of the equation below by an expression.
Korolek [52]
The steps below are presented in order to arrive to the value of k of the given equation. 
First, multiply both sides of the equation by the variable k since the left-hand side of the equation has it in the denominator. This will be,  
            (k + 12/ k)(k) = 8(k)

Then, we simplify,
             k + 12 = 8k
We then, subtract 8k to both sides of the equation,
           k - 8k + 12 = 8k - 8k

Simplifying,
                  -7k + 12 = 0

Then, subtract 12 from both sides of the equation and divide both sides by -7. This will us the final answer of,                  
                     k = 12/7
8 0
3 years ago
Read 2 more answers
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