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prisoha [69]
3 years ago
14

Select the locations on the number line to plot the points 10/2 and −9/2 .

Mathematics
2 answers:
tresset_1 [31]3 years ago
4 0

Answer:

5 and -4.5

Step-by-step explanation:

10/2=5

and -9/2=-4.5

-5  -4.5 -4 -3 -2 -1 0 1  2 3 4 5

Lisa [10]3 years ago
4 0

Answer:

The number line is in the attached picture.

Step-by-step explanation:

We have the points 10/2 and −9/2.

The point 10/2 can be expressed as:

\frac{10}{2} =5

The point -9/2 can be expressed as:

- \frac{9}{2}= - \frac{8+1}{2}= -(\frac{8}{2} + \frac{1}{2})= -(4 + \frac{1}{2} )=-4\frac{1}{2}

So for the first point we have to count 5 places from zero to the right.

For the second point, we have to count 4 places and a half from zero to the left.

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What value of m makes the system of linear equations mx − y + 3 = 0, (2m − 1)x − y + 4 = 0 have no solution?
Morgarella [4.7K]

Answer:

m ≠1  ( all m in R  except 1 )

Step-by-step explanation:

hello :

mx − y + 3 = 0.....(*)

(2m − 1)x − y + 4 = 0 ....(**)

multiply (*) by : -1       you have :   -mx+y-3=0   ....(***)

                                                    (2m − 1)x − y + 4 = 0 ....(**)

add(***) and(**)  : -mx+ (2m − 1)x+1 =0

(2m-m-1)x+1=0

(m-1)x = -1

this system have no solution  if : m-1≠0   means : m ≠1

6 0
3 years ago
A cylindrical can of soup has a height of 4 inches and a radius of 2 inches. What is the volume of the can? Round to the nearest
nordsb [41]

Answer:

50.29 cubic inches.

Step-by-step explanation:

Volume = 50.28571428571424

5 0
3 years ago
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What is the slope of line a?<br><br> • -4<br> • 4<br> • -1/4<br> • 1/4
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The point (5, -1) is a solution of the equation: y = 2x − 11 question 28 options: true false
kkurt [141]
True
This is because on replacing for x=5;
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8 0
3 years ago
The length of a swimming pool is 3 feet longer than it’s width. The swimming pool is surrounded by a deck that is 2 feet wide an
Firlakuza [10]

Answer:

The Length of swimming pool is 8.35 feet

The width of swimming pool is 5.35 feet

Step-by-step explanation:

Given as :

The length of swimming pool is 3 feet longer that its width

Let The width of swimming pool = w  feet

So, The Length of swimming pool = L = (w + 3) feet

Now, The swimming pool is surrounded by deck of 2 feet wide

The width of deck = w' = w + 2 + 2 = (w + 4) feet

The area of deck = 116 feet²

The length of deck = L' = L + 2 + 2 = (L + 4) feet

So, L' = (w + 3 + 4) feet

I.e L' = (w + 7) feet

∵ The area of deck = 116 feet²

So , L' × w' = 116 feet²

(w + 7)× (w + 4) = 116

Or, w² + 4 w + 7 w + 28 = 116

Or, w² + 11 w - 88 = 0

Solving the quadratic equation as

ax² + bx + c = 0

So, w = \dfrac{-b\pm \sqrt{b^{2}-4\times a\times c}}{2\times a}

Or, w = \dfrac{-11\pm \sqrt{11^{2}-4\times 1\times (-88)}}{2\times 1}

Or, w = \dfrac{-11\pm \sqrt{473}}{2}

or, w = \dfrac{-11\pm 21.7}{2}

or, w = 5.35 , -16.35

The width of swimming pool = w = 5.35 feet

The Length of swimming pool = L = (5.35 + 3) feet = 8.35 feet

Hence, The Length of swimming pool is 8.35 feet

And The width of swimming pool is 5.35 feet

Answer

3 0
3 years ago
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