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Virty [35]
3 years ago
13

Solve each compound inequality -3 < x -1 < 4

Mathematics
2 answers:
liubo4ka [24]3 years ago
8 0
X - 1 > -3    add 1 to both sides:-

so x > -2

and

 x - 1 < 4

so  x < 5
guapka [62]3 years ago
7 0
-3 < x - 1 < 4

-3 + 1 < x - 1 + 1 < 4 + 1

-2 < x < 5

Hope this helps!!
~Kiwi
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The end points of one side of a regular pentagon are (-1,4) and (2,3). What is the perimeter of the pentagon?
marissa [1.9K]
To determine the perimeter of the pentagon, you must first calculate a side length of it. Let's name the coordinates A(-1,4) and B(2,3).

To figure out how far the points are from each other, you have to use the distance formula:
D_{AB}  =  \sqrt{( x_{2}-x_{1})^2+{(y_{2}-y_{1})^2}&#10;
x_{1} =1, x_{2} =-2, y_{1} =2, y_{2} =3
D_{AB}= \sqrt{(2--1)^2+{(3-4)^2}
D_{AB}= \sqrt{(2--1)^2+{(3-4)^2} 
D_{AB}= \sqrt{(2+1)^2+{(3-4)^2}
D_{AB}= \sqrt{(3)^2+(-1)^2}
D_{AB}= \sqrt{9+1}
D_{AB}= \sqrt{10}

Now, the formula for the perimeter of a pentagon is 
P = 5×side length
 
So...
Perimeter = 5×\sqrt{10}

The answer is (2)

8 0
3 years ago
14. The least common multiple of 2, 5, 6, and 9 is
CaHeK987 [17]

Answer:

A

Step-by-step explanation:

8 0
3 years ago
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Fill in the table using this function rule.<br> y = 6x + 5
ddd [48]

Answer:

x=3, y=23

x=6, y=41

x=8, y=53

x=9, y=59

Step-by-step explanation:

x=3, y=6(3)+5

        y=18+5

        y= 23

x=6, y=6(6)+5

       y=36+5

       y= 41

x=8, y=6(8)+5

       y=48+5

       y=53

x=9, y=6(9)+5

       y=54+5

       y=59

8 0
3 years ago
Chase buys a bag of cookies that contains 6 chocolate chip cookies, 6 peanut butter cookies, 6 sugar cookies and 6 oatmeal cooki
Over [174]

Answer:

0.0652173

Step-by-step explanation:

Given that :

6 chocolate chip cookies

6 peanut butter cookies

6 sugar cookies

6 oatmeal cookies

Total number of cookies purchased = (6+6+6+6) = 24

Probability, P= required outcome /total possible outcomes

This is a selection without replacement probability problem :

P(peanut butter cookies) = 6/24 = 1/4

Then ;

P(chocolate chip cookie) = 6/23

Hence,

P(peanut butter cookies then chocolate chip cookie) = 1/4 * 6/23 = 0.0652173

4 0
3 years ago
Lance says that you can compare any decimal numbers the way that you alphatbetize words you can tell which number is first by co
Afina-wow [57]

Answer:

No, Lance's thinking is wrong because you cannot compare decimal numbers with alphabetizing words. For example, if we compare 37.6 to 7.42 using the method of Lance, we would probably say 37.6 is less than 7.42 because 3 is less than 7. But it is wrong. The 3 in 37.6 is in the tens place. On the other hand, 7.42 contains no tense. Therefore, 37.6 is actually higher.

Step-by-step explanation:

No, Lance's thinking is wrong because you cannot compare decimal numbers with alphabetizing words. For example, if we compare 37.6 to 7.42 using the method of Lance, we would probably say 37.6 is less than 7.42 because 3 is less than 7. But it is wrong. The 3 in 37.6 is in the tens place. On the other hand, 7.42 contains no tense. Therefore, 37.6 is actually higher.

6 0
3 years ago
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