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3 years ago

If f(x)=2x^2 + 5 sqrt(x-2), complete the following statement f(6)

Mathematics

1 answer:

Alenkinab [10]3 years ago

3 0

Answer:

f(6) = 82

Step-by-step explanation:

substitute x = 6 into f(x) and evaluate

f(6) = 2(6)² + 5 $\sqrt{6-2}$ = 2(36) + 5 $\sqrt{4}$ = 72 + 5(2) = 72 + 10 = 82

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loris [4]

Answer: a. Radius of circle = $\sqrt{85}$

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Step-by-step explanation:

Given : Center of the circle = (3,10)

Circle is passing through (12,12).

a. To find the radius we apply distance formula (∵ Radius is the distance from center to any point ion the circle.)

Radius of circle = $\sqrt{(12-3)^2+(12-10)^2}$

Radius of circle = $\sqrt{(9)^2+(2)^2}=\sqrt{81+4}=\sqrt{85}$

i.e. Radius of circle = $\sqrt{85}$

b. Equation of a circle = $(x-h)^2+(y-k)^2=r^2$ , where (h,k)=Center and r=radius of the circle.

Put the values of (h,k)= (3,10) and r= $\sqrt{85}$ , we get

$(x-3)^2+(y-10)^2=(\sqrt{85})^2$

$(x-3)^2+(y-10)^2=85$

∴ The equation of this circle : $(x-3)^2+(y-10)^2=85$

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4 years ago

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joja [24]

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