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torisob [31]
3 years ago
6

Write a general rule for the value of

}^{0} " alt=" {a}^{0} " align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
Lerok [7]3 years ago
5 0
Always a
Please answer some of my questions too !
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Which number line represtents the solution to |x+4|=2?​
vlada-n [284]

Answer:

Points -2 and -6 on the number line are the two solutions.

Step-by-step explanation:

Use the definition of absolute value as a starting point

|x|=x\,\,\mbox{for}\,\,x\geq 0\\|x|=-x\,\,\mbox{for}\,\,x

To solve the equation, you need to treat the two cases as above:

|x+4|=x+4=2\,\,\,\mbox{for}\,\,x+4\geq 0\implies x\geq -4\\x+4=2\implies x=-2

The solution x=-2 is consistent with the condition x>=-4, so it is the first and valid solution. Now the second case of the absolute value:

|x+4|=-(x+4)=2\,\,\,\mbox{for}\,\,x+4< 0\implies x

Again, the second solution -6 complies with the requirement that x<-4, so it is valid.

7 0
3 years ago
The perimeter of a rectangle is 100 yd. if its width is four times its length, what is the area?
7nadin3 [17]

<span>Length = l</span>

<span>
Width = w</span>

<span>
Perimeter = p = 100

</span>

<span>Perimeter of rectangle = 2(l+w)</span>

<span>
100 = 2 (4w + w)</span>

<span>
100 = 2(5w)</span>

<span>
100 = 10w</span>

<span>
100/10 = w</span>

<span>
10 = w</span>

<span>
w =  10



Area of rectangle = length * width</span>

<span>
a = l*w</span>

<span> a = 4w*w</span>

<span>
a = 4w^2............(1)</span>

<span>
Put the value of w in (1)</span>

<span>
a = 4(10)^2</span>

<span>
a= 4(100)</span>

<span>
a = 400 yd^2</span>

4 0
3 years ago
Identify Like terms : 3y2, 2/3x, -3/4y2, 5x, 12x2
wel
3y^2 and -3/4y^2 
5x and 2/3x
12x^2
4 0
3 years ago
If a kid was playing for 4 hours and he did 9 activitys how much time did each activity take
nadezda [96]

Answer:

26.6667 minutes or 0.444 hours per activity.

Step-by-step explanation:

If he spent an equal amount of time on each activity, then it would have to be divided equally: 4hours/9

In minutes:

4 x 60 = 240 minutes

240/9

26.6667 minutes per activity.

In Hours:

4/9

0.444 hours per activity.

3 0
3 years ago
Read 2 more answers
S = { x ; x is a multiple of 8. 0 &lt; x &lt;30 } Describe this set in another method​
Firdavs [7]

Step-by-step explanation:

<em>Hi</em><em>,</em>

<em>Let's</em><em> </em><em>describe</em><em> </em><em>it</em><em> </em><em>in</em><em> </em><em>listing</em><em> </em><em>method</em><em>;</em>

<em>S</em><em>=</em><em> </em><em>{</em><em>8</em><em>,</em><em>1</em><em>6</em><em>,</em><em>2</em><em>4</em><em>}</em><em>.</em>

<em><u>Hope</u></em><em><u> </u></em><em><u>you</u></em><em><u> </u></em><em><u>got</u></em><em><u> </u></em><em><u>it</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>

3 0
3 years ago
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