All categories

2 years ago

Help whats the absolute value

Mathematics

1 answer:

Soloha48 [4]2 years ago

8 0

$|a|= \left\{\begin{array}{ccc}a&if&a\geq0\\-a&if&a \ \textless \ 0\end{array}\right\\\\examples\\3\geq 0\to|3|=3\\102\geq0\to|102|=102\\0\geq0\to|0|=0\\-4 \ \textless \ 0\to|-4|=-(-4)=4\\-105 \ \textless \ 0\to|-105|=105$

OK. Let's go to your question:

a) |-100| - 98 = 100 - 98 = 2

b) 5|2 - 8| = 5|-6| = 5 · 6 = 30

You might be interested in

Maya can run 18 miles in 3 hours, and ahe can bike 18 miles in 2 hours. What distance did Maya travel if she ran for t hours and

ra1l [238]

The answer to this question is

3 0

1 year ago

(8x 2 −15x)−(x 2 −27x)=ax 2 +bxleft parenthesis, 8, x, squared, minus, 15, x, right parenthesis, minus, left parenthesis, x, squ

quester [9]

Answer:

Step-by-step explanation:

Given the expression (8x² −15x)−(x² −27x) = ax² +bx, we are to determine the value of b-a. Before we determine the vwlue of b-a, we need to first calculate for the value of a and b from the given expression.

On expanding the left hand side of the expression we have;

= (8x² −15x)−(x² −27x)

Open the paranthesis

= 8x² −15x−x²+27x

collect the like terms

= 8x²−x²+27x −15x

= 7x²+12x

Comparing the resulting expression with ax²+bx

7x²+12x = ax²+bx

7x² = ax²

a = 7

Also;

12x = bx

b =12

The value of b - a = 12 - 7

b -a = 5

Hence the value of b-a is equivalent to 5

3 0

2 years ago

Help asap pleeeas!

olga_2 [115]

The answer to this question is C.2 I think

6 0

2 years ago

Read 2 more answers

Write the converse of this statement.

rusak2 [61]

If two angles are equal, then they are both obtuse

8 0

2 years ago

A school has 1800 students and 1800 light bulbs, each with a pull cord and all in a row. All the lights start out off. The first

Gnom [1K]

<u>Solution-</u>

A school has 1800 students and 1800 light bulbs, each with a pull cord and all in a row.

As all the lights start out off, in the first pass all bulbs will be turned on.

In the second pass all the multiples of 2 will be off and rest will be turned on.

In the third pass all the multiples of 3 will be off, but the common multiple of 2 and 3 will be on along with the rest. i.e all the multiples of 6 will be turned on along with the rest.

In the fourth pass 4th light bulb will be turned on and so does all the multiples of 4.

But, in the sixth pass the 6th light bulb will be turned off as it was on after the third pass.

This pattern can observed that when a number has odd number of factors then only it can stay on till the last pass.

1 = 1

2 = 1, 2

3 = 1, 3

<u>4 = 1, 2, 4</u>

5 = 1, 5

6 = 1, 2, 3, 6

7 = 1, 7

8 = 1, 2, 4, 8

9 = 1, 3, 9

10 = 1, 2, 5, 10

11 = 1, 11

12 = 1, 2, 3, 4, 6, 12

13 = 1, 13

14 = 1, 2, 7, 14

15 = 1, 3, 5, 15

16 = 1, 2, 4, 8, 16

so on.....

The numbers who have odd number of factors are the perfect squares.

So calculating the number of perfect squares upto 1800 will give the number of light bulbs that will stay on.

As, $\sqrt{1800} =42.42$ , so 42 perfect squared numbers are there which are less than 1800.

∴ 42 light bulbs will end up in the on position. And there position is given in the attached table.

7 0

2 years ago