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solong [7]
2 years ago
10

Given F(x) = -x^2+10x-3, find f(9)

Mathematics
1 answer:
soldi70 [24.7K]2 years ago
8 0

Answer:

x =(10-√112)/2=5-2√ 7 = -0.292

x =(10+√112)/2=5+2√ 7 = 10.292

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What is the center and radius of x^2+6x+y^2-4y =-4?​
Nat2105 [25]

Answer:

The center of this circle is at (-3,\, 2). The radius of this circle is 3.

Step-by-step explanation:

A circle with center (a,\, b) and a radius of r (r > 0) could be expressed as:

(x - a)^{2} + (y - b)^{2} = r^{2}.

(In other words, a point is on this circle if and only if the distance between that point and the center is equal to the radius.)

Rearrange this equation using binomial expansion to match the equation given in this question:

(x^{2} - 2\, a\, x + a^{2}) + (y^{2} - 2\, b\, y + b^{2}) = r^{2}.

x^{2} + (-2\, a)\, x + y^{2} + (-2\, b)\, y = -a^{2} - b^{2} + r^{2}.

The equation in this question is:

x^{2} + 6\, x + y^{2} + (-4)\, y = -4.

Match up the coefficients of x and y in the two equations.:

  • Coefficient of x: (-2\, a) = 6.
  • Coefficient of y: (-2\, b) = (-4).

Thus, a = (-3) and b = 2.

The constants of the two equations should also match up:

(-a^{2} - b^{2} + r^{2}) = (-4).

Substitute in a = (-3) as well as b = 2 and solve for r:

r^{2} = 9.

r = 3 (since r > 0.)

Therefore, the center of this circle is (-3,\, 2). The radius of this circle is 3.

7 0
2 years ago
One third divided by eight
stellarik [79]

Answer:

1/24

Step-by-step explanation:

1/3÷ 8

Copy dot flip

1/3 * 1/8

1/24

3 0
2 years ago
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Find greatest 3 digit number divisible by 8,10,12
schepotkina [342]
The greatest 3 digit number divisible by the 8, the 10, and the 12 is 960. The simplest way of finding the number is to multiply all the divisible factor which is the 8, the 10, and the 12 that results in 960 (8*10*12). If this multiply operation results in more than 3 digit number, therefore we must analyze the factor of the result and eliminate it.
5 0
3 years ago
Which number line can be used to find the distance between (-1, 2) and (-5, 2)
wariber [46]

Answer:

y = 2; distance is 4 units

Step-by-step explanation:

Line y = 2

Because the y- coordinate is the same, only horizontal movement from -1 to -5..

Which is 4 units

6 0
3 years ago
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Kobotan [32]

Answer:

9/12

Step-by-step explanation:

You have to divide 36 by 4 to get 9 and then divide 48 by 4 and you will get 12.

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