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zmey [24]
3 years ago
14

Draw a model and write an equation to represent four times as many as 3 is 12 explain your work

Mathematics
1 answer:
kari74 [83]3 years ago
4 0
4 = 3 x 12 four is 3 times as many 12
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Ostrovityanka [42]
Infinite solution Bc both sides are equal
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3 years ago
Let us have four distinct collinear points $a,$ $b,$ $c,$ and $d$ on the cartesian plane. the point $c$ is such that $\dfrac{ab}
Deffense [45]

Start with a line segment connecting two points, A and B. \dfrac{DA}{BA}=3 means DA is 3 times longer than BA. Clearly, D cannot fall between A and B because that would mean DA is shorter than BA. So there are two possible locations where D can be placed on the line relative to A and B.

But with \dfrac{DB}{BA}=2, or the fact that DB is 2 times longer than BA, we can rule out one of these positions; referring to the attachment, if we place D to the left of A, then DB would be 4 times longer than BA.

Finally, \dfrac{AB}{CB}=\dfrac12, so that CB is 2 times longer than AB. Again we have two possible locations for point C (it cannot fall between A and B), but one of them forces C to occupy the same point as D. However, A, B, C, D are distinct, so C must fall to the left of A.

Now let d be the length of AB. Then the length of CD in terms of d is 4d. We have the coordinates of C and D, and the distance between them is \sqrt{(4-0)^2+(0-4)^2}=4\sqrt2. So

4d=4\sqrt2\implies d=\sqrt2

The slope of the line through C and D is

\dfrac{0-4}{4-0}=-1

and so the equation of the line through these points is

y-4=-(x-0)\implies x+y=4

So the coordinates of A are (x,y)=(x,4-x). The distance between C and A is d=\sqrt2, so we have

\sqrt{(x-0)^2+(4-x-4)^2}=\sqrt{2x^2}=|x|\sqrt2=\sqrt2\implies|x|=1

Since A falls to the right of C (in the x,y plane, not just in the sketch), we know to take the positive value x=1. Then the y coordinate is y=4-1=3.

All this to say that A is the point (1, 3), so

2x+y=2+3=5

5 0
3 years ago
Need help with Algerbra math​
makkiz [27]

Answer:

57.5

Step-by-step explanation:

divide 92 by 1.6. I hope this helps

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3 years ago
Calculate and express your answer in decimal form.
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Hope this helps you :))))))

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3 years ago
Write the explicit formula for the geometric sequence.<br><br> 64, 32, 16, 8, ...
Setler [38]

Answer:

aₙ = 1/2 x aₙ₋₁     n≥2

Step-by-step explanation:

aₙ = 1/2 x aₙ₋₁     n≥2  

a₁ = 64

a₂ = 1/2 x 64 = 32

a₃ = 1/2 x 32 = 16

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3 years ago
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