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PolarNik [594]
3 years ago
6

2(x+3)^2+2(y)^2=32 what is the center point of the circle and how long is the radius

Mathematics
1 answer:
spayn [35]3 years ago
6 0

Answer:

  • center (-3, 0)
  • radius 4

Step-by-step explanation:

The standard form equation of a circle is ...

  (x -h)^2 +(y -k)^2 = r^2 . . . . . . . . . center at (h, k), radius r

Divide your given equation by 2 to put it into standard form:

  (x +3)^2 +y^2 = 16

Comparing to the above, we see ...

  • h = -3
  • k = 0
  • r = √16 = 4

The center point of the circle is (-3, 0); the radius is 4 units long.

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Write the point-slope form of an equation of the line through the points (-7, 7) and (4, 1).
defon

Answer:

y − 7 = − 6 /11 ⋅ ( x + 7 )

Step-by-step explanation:

Find the point-slope form.

Point-slope formula: y-y₁=m(x-x₁)

3 0
2 years ago
Write each mixed as a decimal.<br> a) 1 3/4<br> b) 2 13/20
kakasveta [241]

Answer:

a. 1.75

b. 2.65

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6 0
3 years ago
What is the product (9t-4)(-9-4)
Scrat [10]

Answer:

-81t^2 +16

Step-by-step explanation:

(9t-4)(-9t-4)

FOIL

first: -9t*9t = -81t^2

outer : -4*9t = -36t

inner : -4 *-9t = 46t

last = -4*-4 = 16

Add them together

-81t^2 -36t+36t+16

-81t^2 +16

6 0
2 years ago
These roots of the polynomial equation x^4-4x^3-2x^2+12x+9=0 are 3,-1,-1. Explain why the fourth root must be a real number. Fin
Alex787 [66]

Roots with imaginary parts always occur in conjugate pairs. Three of the four roots are known and they are all real, which means the fourth root must also be real.

Because we know 3 and -1 (multiplicity 2) are both roots, the last root r is such that we can write

x^4-4x^3-2x^2+12x+9=(x-3)(x+1)^2(x-r)

There are a few ways we can go about finding r, but the easiest way would be to consider only the constant term in the expansion of the right hand side. We don't have to actually compute the expansion, because we know by properties of multiplication that the constant term will be (-3)(1)(1)(-r)=3r.

Meanwhile, on the left hand side, we see the constant term is supposed to be 9, which means we have

3r=9\implies r=3

so the missing root is 3.

Other things we could have tried that spring to mind:

- three rounds of division, dividing the quartic polynomial by (x-3), then by (x+1) twice, and noting that the remainder upon each division should be 0

- rational root theorem

4 0
3 years ago
Read 2 more answers
If string str1 = "forest" and string str2 = "school", then what is the value of str1.compareto(str2);?
REY [17]
<span>This is an java command program. String 1 is stands for str1= '' forest '' accepted within quote marks. String 2 is stands for str1= '' school'' accepted within quote marks the command compareto will cause the output will display as shown below : str1.compareto(str2); when run this command we will get the output like this ; forest school ================================================== the model program is like this; { String str1 = " forest " ; String str2 = "school "; System.out.println(); System.out.println("String 1: " + str1); System.out.println("String 2: " + str2);</span>
8 0
2 years ago
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