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2 years ago

Which equation can be represented using the number line?

Mathematics

1 answer:

kvasek [131]2 years ago

8 0

Answer:

the first one : 3/4 ÷ 1/8 = 6

Step-by-step explanation:

remember, dividing something by a fraction is the same as multiplying by the upside-down fraction.

like here

3/4 ÷ 1/8 = 3/4 × 8/1 = 3×8 / 4×1 = 24/4 = 6

you can see that confirmed in the graph, where every 1/4 contains 2/8. so, 1/8 fits 6 times into 3/4.

the other answer options are simply not true

1/8 ÷ 3/4 = 6

1/8 × 4/3 = 4/24 = 1/6 <> 6

6 ÷ 3/4 = 1/8

6/1 × 4/3 = 24/3 = 8 <> 1/8

6 ÷ 1/8 = 3/4

6/1 × 8/1 = 48 <> 3/4

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3 years ago

Read 2 more answers

Which equation represents a circle with the same radius as

sattari [20]

Answer :

$(x+1)^2+(y-1)^2=4^2$ and $(x+1)^2+(y-1)^2=16$

Step-by-step explanation:

Given : A circle with the same radius as the circle shown but with a center at (-1.1).

To find : Which equation represents a circle ?

Solution :

The equation of a circle with center (h,k) and radius r is given by :

$(x-h)^2+(y-k)^2=r^2$

Here, we are given (h,k)=(-1,1)

and radius r=4 units

So, equation of circle will be :

$(x-(-1))^2+(y-1)^2=4^2$

$(x+1)^2+(y-1)^2=4^2$

or $(x+1)^2+(y-1)^2=16$

Therefore, the required equations of circle are

$(x+1)^2+(y-1)^2=4^2$ and $(x+1)^2+(y-1)^2=16$

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