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3 years ago

What is the least common factor for 5 and 6

Mathematics

2 answers:

notka56 [123]3 years ago

6 0

Answer:

The answer is 30

Step-by-step explanation:

RoseWind [281]3 years ago

4 0

The answer is 30 because 5 and 6 have no other common multiples.

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2 years ago

If 2x-6=0 the x =?

Oliga [24]

Answer:

x=3

Step-by-step explanation:

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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:

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

The expression simplifies to

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

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:

$-6-5\sqrt{5}$

8 0

3 years ago

True or false : The function shown has an absolute Minimum

MakcuM [25]

Answer:

Cannot be determined

Step-by-step explanation:

You cannot assume the function travels down infinitely, because the function is not given to you. The graph could go up down left or right for all you know, you just cannot see it.

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3 years ago

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