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vodka [1.7K]
4 years ago
6

What is 2/3 multiplied by 3equals what

Mathematics
1 answer:
Digiron [165]4 years ago
3 0

Answer:

6/3 as an Improper Fraction.

2 as a whole number.

Step-by-step explanation:

2/3 multiplied by 3 is as shown below.

2/3 + 2/3 + 2/3.

As an Improper Fraction, the sum would be expressed as:

2 + 2 + 2 = 6. 6/3

2/3 • 3 = 2, since 6/3 = 2 as well.

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3 years ago
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A circle has centre (3,0) and radius 5. The line y = 2x + k intersects the circle in two points. Find the set
lara [203]

A circle with center (3,0) and radius 5 has equation

(x-3)^2+y^2=25 \iff x^2 + y^2- 6 x  = 16

If we substitute y=2x+k in this equation, we have

x^2+(2x+k)^2-6x=16 \iff 5x^2+(4k-6)x+k^2-16=0

This equation has two solutions (i.e. the line intersects the circle in two points) if and only if the determinant is greater than zero:

\Delta=b^2-4ac=(4k-6)^2-4\cdot 5\cdot (k^2-16)>0

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-4 (k^2 + 12 k - 89)>0 \iff k^2 + 12 k - 89

The solutions to the associated equation are

k^2 + 12 k - 89=0 \iff k=-6\pm 5\sqrt{5}

So, the parabola is negative between the two solutions:

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3 years ago
PLEASE HELP!! 12 POINTS AND WILL MARK BRAINLIEST TO WHOEVER ANSWERS QUICKLY AND CORRECTLY!!
PtichkaEL [24]

Answer:

False

Step-by-step explanation:

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Please help. My questions never get answered
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What is 96,989,200 written in scientific notation?
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This one is 9.69892 x 10^2 i believe 
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