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scoray [572]
3 years ago
12

Whats the radius and center of (x+4)^2+(y-2)^2=9

Mathematics
1 answer:
Fiesta28 [93]3 years ago
8 0
I believe the center would be (-4,2) while the radius should be 3.
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Suppose the graph of a cubic polynomial function has the same zeroes and passes through the coordinate (0, -5). Write the equati
amid [387]
In this we know all three zeros and one point from which the graph pass.
So we will let specific cubic polynomial function of the form
f(x) = a(x - x_1)(x-x_2)(x-x_3)

As we know zeros are that point where we will get value of function equal to zero. So it is basically in form (x_n , 0)

SO in given question zeros are (2 , 0) , (3, 0) and (5,0)
So we can say x_1 = 2 , x_2 = 3 , x_3 = 5

So required equation is
f(x) = a (x-2)(x-3)(x-5)
              = a[(x^2 - 2x - 3x + 6)(x-5)]
              = a[(x^2 - 5x+6)(x-5)]
              = a(x^3 - 5x^2 + 6x- 5x^2 + 25x - 30)
              = a(x^3 - 10x^2+31x-30)
Now we have one point (0 , -5) from which graph passes.
So we say at x = 0 , f(x) = -5
-5= a (0-0+0 - 30)
-5 = -30a
a =  \frac{-5}{-30} =  \frac{1}{6}
So required equation of cubic polynomial is
f(x) =  \frac{1}{6}(x^3 -10x^2+31x-30)

For finding y - intercept we simply plugin x = 0 in given equation.
As we know at x = 0 , value of function is -5.
So y - intercept is -5.
4 0
3 years ago
Read 2 more answers
(x^2+y)(x^4y^3)/xy^2
r-ruslan [8.4K]

Answer:

(x^2+y)x^3 y^5

Step-by-step explanation:

(x^2 + y)x^4 y^3 / x y^2

(x^2 + y)x^4 - 1 y^3 * y^2

(x^2 + 7)x^3 y^3 * y^2

(x^2 + y)x^3 y^3 +^2

(x^2 + y)x^3 y^5

6 0
3 years ago
4-4x-9x how many terms
11Alexandr11 [23.1K]

Answer:

3 terms

Step-by-step explanation:

4 4x and 9x

5 0
2 years ago
Henry begins a savings account with $500. The savings account accumulates 2.5% annual interest based on the
fiasKO [112]
It’s B I did this question and got the same answer
7 0
2 years ago
1 4/5 cm by 4 2/5 cm
LenaWriter [7]
If it is area you're looking for, the answer is 7.92 cm^2, or ~7 11/12 cm^2.
7 0
3 years ago
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