Given:

Mathematics

2 answers:

Montano1993 [528]2 years ago

7 0

Answer:

Step-by-step explanation:

stira [4]2 years ago

3 0

Answer:

Step-by-step explanation:

The contrapositive is always logically equivalent to the original statement.

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The first row of a theater has 16 seats. There are 3 more seats in each row thereafter. How many seats are in the 25th row/

inessss [21]

Answer: 88

Step-by-step explanation:

Given

The first row has 16 seats

then there are 3 more seats in each row

this follows an AP with the first term $a=16$ and common difference $d=3$

So, no of seats in the 25 th row is

$\Rightarrow a_{25}=a+24d\\\Rightarrow a_{25}=16+3\times 24\\\Rightarrow a_{25}=88$

Thus, there are 88 seats in the 25 th row

8 0

3 years ago

Simplify the expression

Vaselesa [24]

To simplify this expression, you have to remember that when a number or a variable is raised to the negative exponent you have to reciprocate the number. In this expression, c^-8 will be reciprocated so it will become part of the numerator. Therefore, the final answer would be 12c^8/d^2.

3 0

3 years ago

What is the slope of this line?

Brums [2.3K]

Answer:

$slope=\frac{1}{4}$

Step-by-step explanation:

The slope of a line can be seen as:

$\frac{rise}{run}$

Rise over run is the change in the y values over the change in x values. For example, in this graph, you would start on one of the points given. From there, you would move up first. After moving up a certain number of spaces, you would move to the side until you reach the other point.

In the graph, you would move up until you are in line with one of the other points. Starting at (-4,5), move up one space, then to the left 4 spaces to reach the point (0,6). Using the spaces moved in the rise over run:

$\frac{1}{4} =\frac{rise}{run}=slope$

Therefore, the slope is $\frac{1}{4}$ .

This is true for any two points on the line.

:Done

*When you move up, the number will be positive $(\frac{+y}{x} )$ . If you move down, the number will be negative $(\frac{-y}{x} )$ . If you move left, the number will be positive $(\frac{y}{+x})$ . If you move right, the number will be negative $(\frac{y}{-x} )$ . Keep this in mind. It is very important.