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Salsk061 [2.6K]
2 years ago
12

Three ballet dancers are positioned on stage. Luca is straight behind Seth and directly left of

Mathematics
1 answer:
Sidana [21]2 years ago
3 0

Answer:

8 feet apart

Step-by-step explanation:

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Write x2 − 8x + 13 = 0 in the form (x − a)2 = b, where a and b are integers
Marrrta [24]
X^2 - 8x + 13 = 0
subtract 13 from both sides
x^2 - 8x = -13
-8/2 = -4,   (-4)^2 = 16,  add 16 to both sides
x^2 - 8x + 16 = -13 + 16
factor the left side
(x - 4)^2 = 3
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3 years ago
Are the lines y=-2x and 2x+y=3. Are they paralell, perpendicular, or neither?
ELEN [110]

Answer:

They are parallel

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Find all critical values of the function g(x)=5/(x²-x+6)
Sati [7]
g(x)=\frac{5}{x^2-x+6}\\\\D:x^2-x+6\neq0\\\\\Delta=(-1)^2-4\cdot1\cdot6=1-24=-23 < 0\\\\x\in\mathbb{R}\\\\vertex\ of\ y=x^2-x+6\\\\p=\frac{-(-1)}{2\cdot1}=\frac{1}{2}\\\\q=\frac{-(-23)}{4\cdot1}=\frac{23}{4}\\\\\lim\limits_{x\to\frac{1}{2}}\frac{5}{x^2-x+6}=\frac{5}{\frac{23}{4}}=\frac{5\cdot4}{23}=\frac{20}{23}

\lim\limits_{x\to\pm\infty}\frac{5}{x^2-x+6}=0

3 0
3 years ago
A circle and a square can intersect at how many points
SSSSS [86.1K]

If the circle has the same center as the diagonals of a square and the radius of the circle is smaller than 1/2 the diagonal of the square but larger than 1/2 the length of the side of a square, then there are 8 points of intersection -- 2 at each corner of the square.

If the radius of the circle is smaller than 1/2 the side length of the square and the center is as described above, there are no points of intersection.

If the circle is located outside the square it can have 1 tangent point or 2 intersection points depending on the location conditions of the circle in relation to the square.

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3 years ago
Guys helpppp!!!
aivan3 [116]

Answer:

High negative

Step-by-step explanation:

The dots are close together and they are going down left to right indicating it’s negative

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