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vesna_86 [32]
2 years ago
6

Circle O has a circumference of 36π cm.

Mathematics
1 answer:
ehidna [41]2 years ago
3 0

Answer:

r = 18 cm

Step-by-step explanation:

The formula for the circumference of a circle is 2πr.

Hence,

2πr = 36π

r = 18 cm

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Write the equation of the parabola that has the vertex at point (− 1/2 ,2.3) and passes through the point (5,2 3/4 ).
Alex73 [517]

Answer:

The equation of parabola in vertex form is y=0.015(x+0.5)^2+2.3

Step-by-step explanation:

Given coordinate of vertex is (-\frac{1}{2},2.3) and the parabola passes through the point (5,2\frac{3}{4})

So, the equation of parabola in vertex form is

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

Where (h,k) is the coordinate of the vertex.

(h,k)=(-\frac{1}{2},2.3)=(-0.5,2.3).\\\\So,\ h=-0.5\ and\ k=2.3

Plugging these value in equation we get,

y=a(x-(-0.5))^2+2.3\\\\y=a(x+0.5)^2+2.3

Now, we will find the value of a

Plug the coordinate (5,2\frac{3}{4})

(x,y)= (5,2\frac{3}{4})\\\\(x,y)=(5,\frac{11}{4})\\\\(x,y)=(5,2.75)

2.75=a(5-(-0.5))^2+2.3\\\\2.75=a(5+(0.5))^2+2.3\\\\2.75=a(5.5)^2+2.3\\\\2.75=a\times30.25+2.3\\\\2.75-2.3=a\times30.25\\\\0.45=a\times30.25\\\\\frac{0.45}{30.25}=a\\ \\a=0.0149

Plug the value of a in the equation y=a(x+0.5)^2+2.3

So, the equation of parabola with vertex (-\frac{1}{2},2.3) and passes through the point (5,2\frac{3}{4}) is

y=0.0149(x+0.5)^2+2.3 ≅y=0.015(x+0.5)^2+2.3

5 0
3 years ago
What are the zeros of the function f(x) = x^2 + 5x + 5 written in simplest radical form?
Klio2033 [76]

Answer:

2x = -5 +/- root 5 (opt 3)

Step-by-step explanation:

0 = 4f(x)

 = 4(x^2 + 5x + 5)

 = 4x^2 + 20x + 20

 = (2x)^2 + 2*2x+5 + 25 - 5

 = (2x + 5)^2 - (root 5)^2

 = ((2x+5) - 5) ((2x + 5) + 5)

 = (2x + 5 - 5) (2x + 5 - 5)

Therefore, 2x = -5 +/- root 5

Hope u understand.

Please mark as the brainliest

Thank You

7 0
3 years ago
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Gnesinka [82]

Answer:

y=2x+8

Step-by-step explanation:

Hope this helps

5 0
3 years ago
URGENT I WILL MARK BRAINLIEST DRAW WHERE THE DOTS GO ON THE GRAPH
frutty [35]

Answer:

(Answer in picture)

3 0
2 years ago
Jake wrote this equation for the area of a rectangle. 431.2 = 24.5w. What is the width (w) of this rectangle? A. 17.6 units B. 6
BaLLatris [955]
All you have to do is 431.2 divided by 24.5
Hope this helps
5 0
3 years ago
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