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devlian [24]
3 years ago
7

Add/Subtract: Simplify and state the domain. .

Mathematics
1 answer:
bagirrra123 [75]3 years ago
6 0

Add/Subtract, simplified:

Picture below is simplified / evaluated

Step-by-step explanation for the domain:

Find the domain by finding where the expression is defined.

Interval Notation:

(−∞,0)∪(0,7)∪(7,∞)

Set-Builder Notation:

{x|x≠0,7}

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If one endpoint of a line segment is (2, 8) and the midpoint is (-4, 7), what is the other endpoint? (8, -5)
Pepsi [2]

( - 10, - 22 )

using the midpoint formula,

let the other endpoint have coordinates (x, y) then

\frac{1}{2} (2 + x ) = - 4 ( multiply through by 2 )

2 + x = - 8 ( subtract 2 from both sides ) then

x = -8 - 2 = - 10 ← value of x-coordinate

Similarly for y-coordinate

\frac{1}{2} (8 + y ) = - 7 ( multiply through by 2 )

8 + y = - 14 ( subtract 8 from both sides )

y = - 14 - 8 = - 22 ← y -coordinate

the other endpoint is ( - 10, - 22 )




7 0
3 years ago
Try to solve (-78)+43 #
Valentin [98]

Answer:

-35

Step-by-step explanation:

you put -78 on top and take put 43 the put the negative back on

4 0
3 years ago
Read 2 more answers
Find B on AC that is 2/5 of the distance of A to C.
salantis [7]

Answer:

1

Step-by-step explanation:

AC = 5, ao AB = 2.

This means B = -1+2 = 1.

3 0
2 years ago
What is the average rate of change between (3,2) and (1,9)
hjlf

Answer:

-0.25

Step-by-step explanation:

1-3= -2

9-2= 8

-2/8= -0.25

7 0
3 years ago
For what value(s) of k is the linear system consistent? (Enter your answers as a comma-separated list.)
AleksAgata [21]

Answer:

Step-by-step explanation:

Given

6x_1-9x_2=8

9x_1+kx_2=-1

The given system is AX=B can be represented by

\begin{bmatrix}6 &-9 \\ 9 & k\end{bmatrix}\begin{bmatrix}x_1\\ x_2\end{bmatrix}=\begin{bmatrix}8\\ -1\end{bmatrix}

The given system is consistent when determinant of A is not equal to zero

|A|

|A|=6k-(-81)=6k+81

k\neq \frac{-27}{2}

i.e. system is consistent for all value of k except k=\frac{-27}{2}

R-\frac{-27}{2}

                 

4 0
4 years ago
Read 2 more answers
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