Evaluate the expression |- 15| + | -7|

Mathematics

1 answer:

12345 [234]3 years ago

4 0

Answer:

Step-by-step explanation:

The lines in between the numbers are called absolute value bars. Whenever you see numbers that have absolute value bars, know that the numbers become positive.

Therefore,

|-15| = 15

|-7| = 7

Now we just add,

15+7=22

Final answer = 22

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-4 is the ___ 4 A: additive inverse of B: additive equivalent of C: same as D: opposite of

agasfer [191]

Answer:

additive inverse of

Step-by-step explanation:

Additive inverse of any number is that number added to the given number result into zero. For example a is an additive inverse of -a because a+(-a) = a-a = 0

According to the question, -4 and 4 are additive inverse of each other. Hence -4 is the additive inverse of 4

8 0

3 years ago

{2x+2y=2,2(x+y)=10}A. single solution B. no solution C. infinite solutions

mixer [17]

To find the number of solutions of a system of linear equations you need to identify the slope (m) in each equation:

$y=mx+b$

-If the slope is the same in both lines the system has no solution

-If the slope is different in the lines the system has one solution

-If the equation are the same (incluided the value of b) the system has infinitely many solutions

You have the next equations:

$\begin{gathered} 2x+2y=2 \\ 2(x+y)=10 \end{gathered}$

Write the equations in slope-intercept form y=mx+b (solve for y).

First equation:

$\begin{gathered} 2y=-2x+2 \\ y=-\frac{2}{2}x+\frac{2}{2} \\ \\ y=-x+1 \end{gathered}$

Second equation:

$\begin{gathered} 2x+2y=10 \\ 2y=-2x+10 \\ y=-\frac{2}{2}x+\frac{10}{2} \\ \\ y=-x+5 \end{gathered}$ As the equations have the same slope m = -1, the system has no solution (the line doesn't cross each other)