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goldfiish [28.3K]
3 years ago
8

Explain how 4/10÷2 and 4/10×1/2 both equal 2/10.

Mathematics
1 answer:
iris [78.8K]3 years ago
5 0

Answer:

Step-by-step explanation:

when you are taking (4/10) and dividing it by 2.  you have a fraction over a fraction.  if you remember what you do to the top part of the equation you do to the bottom.  so we want to get rid of dividing by 2.  (multiple by the reciprocal)  the reciprocal of 2 is 1/2.  that will cancel out the bottom part of the equation but what you do to the bottom you have to do to the top.  so,  (4/10) * 1/2 is the same as (4/10) divided by 2. hope that makes sense.  it's much easier to write out then type math...

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7 0
2 years ago
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1) Graph the following lines and using the graph determine several values of x for which the graph is positive (negative):
Aleksandr [31]

1) y=-0.5x-2


The graph of the above equation is attached in the attachment below.  

For all the values from negative infinity to -4, the function is positive.  

X ∈ (-∞,-4]


2) y=-1.5x+3


To find the x- intercept, plug y =0  

0=-1.5x+3


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x=2


x intercept = (2,0)


To find the y- intercept, plug x=0  

y=-1.5(0)+3


y=3


Y- intercept = ( 0,3)


3) y=13-x


Y- intercept = (0,13)


x- intercept = (13,0)


Area of triangle = \frac{bh}{2}


Area of triangle = \frac{13\times13}{2}


Area = \frac{169}{2} sq unit.


4) The graphs of y=-2x+7 and y=0.5x-5.5 is attached in the attachment below.  

The intersection point is ( 5,-3)


5) A = (-3,0)


B = (4,5)


C = (0,-4)


Slope of AB = \frac{5-0)}{4-(-3)} =\frac{5}{7}


Slope intercept of line y=mx+b


Where, m is the slope and b is the y- intercept.  

Plugging point A and the slope in the y- intercept to find the value of b.  

0=\frac{5(-3)}{7} +b

b=\frac{15}{7}


Equation of line AB: y=\frac{5x}{7} +\frac{15}{7}


Slope of BC = \frac{-4-5}{0-4} =\frac{9}{4}


Plug C = (0,-4)  

-4=0+b


b=-4


equation of line BC= y=\frac{9x}{4} -4


Slope of line AC = \frac{-4-0}{0--3} =\frac{-4}{3}


Equation of line AC = y=\frac{-4x}{3} -4


Y intercept of AB = (0,\frac{15}{7} )




5 0
3 years ago
Read 2 more answers
Find m angle ABC <br> I really need the answer to this
damaskus [11]
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It also mean that the total sum of the angles unknown would be 90°

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7 0
2 years ago
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