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1 year ago

Given A(-2, 5) and B(13, -7), find the midpoint of AB.

Mathematics

1 answer:

Dmitrij [34]1 year ago

4 0

Answer:

The mid-point is (9,-9/2)

Step-by-step explanation:

You would use the mid-point formula for this

$(\frac{x_{2} +x_{1} }{2} , \frac{y_{2}+y_{1} }{2} )$

if you plug that in it is ( $\frac{13-2}{2}, \frac{-7+5}{2}$ )

resulting in (11/2,-2/2) = (11/2,-1)

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jeka57 [31]

Your best bet would be D.

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3 years ago

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[10] In the following given system, determine a matrix A and vector b so that the system can be represented as a matrix equation

irina1246 [14]

Answer:

$y=-\frac{158}{579}$

Step-by-step explanation:

To find the matrix A, took all the numeric coefficient of the variables, the first column is for x, the second column for y, the third column for z and the last column for w:

$A=\left[\begin{array}{cccc}1&1&2&2\\-7&-3&5&-8\\4&1&1&1\\3&7&-1&1\end{array}\right]$

And the vector B is formed with the solution of each equation of the system: $b=\left[\begin{array}{c}3\\-3\\6\\1\end{array}\right]$

To apply the Cramer's rule, take the matrix A and replace the column assigned to the variable that you need to solve with the vector b, in this case, that would be the second column. This new matrix is going to be called $A_{2}$ .

$A_{2}=\left[\begin{array}{cccc}1&3&2&2\\-7&-3&5&-8\\4&6&1&1\\3&1&-1&1\end{array}\right]$

The value of y using Cramer's rule is:

$y=\frac{det(A_{2}) }{det(A)}$

Find the value of the determinant of each matrix, and divide:

$y==\frac{\left|\begin{array}{cccc}1&3&2&2\\-7&-3&5&-8\\4&6&1&1\\3&1&-1&1\end{array}\right|}{\left|\begin{array}{cccc}1&1&2&2\\-7&-3&5&-8\\4&1&1&1\\3&7&-1&1\end{array}\right|} =\frac{158}{-579}$

$y=-\frac{158}{579}$

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3 years ago

Theo bought 2 hot dogs and two drinks for $4.00. At the same concession stand, Vicky bought 3 hot dogs and a drink for $4.50. Wr

Sedbober [7]

Answer:

The hot dog are $2.63

Step-by-step explanation:

Hot Dogs = H

Drinks = D

2H + 2D = 4

Divide both sides by 2

H + D = 2

Subtract D from either side

H = 2 -D

3H + D = 4.50

Plug in 2 - D for H

3(2- D ) + D = 4.50

6 - 3D + D = 4.50

6 - 4D = 4.50

Add 6 to either side

-4D = 10.50

Divide either side by -4

D = -2 . 625

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3 years ago

What is the 20th term in the sequence f(n)=19-6×n for n≥0?

ohaa [14]

Answer: -101

Step-by-step explanation: f(n) = 19-6*n

f(20) = 19 - 6*20

f(20) = -101

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3 years ago

5(p - 1) + 3(p - 0.75)<br> (Iready)

Kaylis [27]

Answer:

=8p−7.25

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=(5)(p)+(5)(−1)+(3)(p)+(3)(−0.75)

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=(5p+3p)+(−5+−2.25)

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2 years ago

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Given A(-2, 5) and B(13, -7), find the midpoint of AB.​

Given A(-2, 5) and B(13, -7), find the midpoint of AB.