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givi [52]
2 years ago
12

What is the distance from X to Y?

Mathematics
1 answer:
densk [106]2 years ago
7 0

Answer:

15

Step-by-step explanation:

distance formula

\sqrt{((x2-x1)^2 + (y2-y1)^2)}

\sqrt{(9-0)^2 + (-6-6)^2}

\sqrt{81 + 144}

\sqrt{225}

15

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A circle has the equation x2+ y2 = 9. What is the length of the radius?
Zarrin [17]

Answer:

The center is (0,0) and the radius is 3

Step-by-step explanation:

The equation of a circle is given by

(x-h)^2+(y-k)^2 = r^2

Where (h,k) is the center and r is the radius

(x-0)^2+(y-0)^2 = 3^2

The center is (0,0) and the radius is 3

3 0
3 years ago
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Yuliya22 [10]
10+x=32. Hope it helps !
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3 years ago
Let f(x) be a polynomial such that f(cos θ) = cos(4) θ for all θ. Find f(x). (This is essentially the same as finding cos(4) θ i
Galina-37 [17]

Answer:

f(x) = 8x⁴-8x²+1

Step-by-step explanation:

I will assume that f(cos θ) = cos(4θ). Otherwise, f would not be a polynomial. lets divide cos(4θ) in an expression depending on cos(θ). We use this properties

  • cos(2a) = cos²(a) - sin²(b)
  • sin(2a) = 2sin(a)cos(a)
  • sin²(a) = 1-cos²(a)

cos(4θ) = cos(2 * (2θ) ) = cos²(2θ) - sin²(2θ) = [ cos²(θ)-sin²(θ) ]² - [2cos(θ)sin(θ)]² = [cos²(θ) - ( 1 - cos²(θ) ) ]² - 4cos²(θ)sin²(θ) = [2cos²(θ)-1]² - 4cos²(θ) (1 - cos²(θ) ) = 4 cos⁴(θ) - 4 cos²(θ) + 1 - 4 cos²(θ) + 4 cos⁴(θ) = 8cos⁴(θ) - 8 cos²(θ) + 1

Thus f(cos(θ)) = 8 cos⁴(θ) - 8 cos²(θ) + 1, and, as a result

f(x) = 8x⁴-8x²+1.

5 0
3 years ago
4. Janet wants to spend no more than $45 her friend's birthday gift. She already bought her a
Vera_Pavlovna [14]

Answer:

Step-by-step explanation:

45=15+x

45-15=x

30=x

6 0
2 years ago
How many each type of angle shape has
Anton [14]
For the first one it has 4 right, zero greater and zero less than. For number two is has 0 right, 2 greater than and 3 less to

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