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soldier1979 [14.2K]
2 years ago
7

Graph the function f(x) = 2√x +3.

Mathematics
1 answer:
Nikolay [14]2 years ago
8 0

The graph is shown in the attached image.

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90 is the LCM of 30 and 45
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7- a. What is the radius of the circle with center (3,10) that passes through (12,12)?
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Answer: a. Radius of circle = \sqrt{85}

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

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

6 0
3 years ago
A lottery offers two options for the prize. Option A: $1000 a week for life. Option B: $600 000 in one lump sum. Which option wo
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Given: 
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Surface area of a right rectangular prism has this formula:
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Volume of a right rectangular prism has this formula
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Formula of Surface Area is different from Volume.

Surface area measures the area the whole rectangular prism surface. It computes for the area of all 6 faces that a right rectangular prism has.

Volume measures the area within the rectangular prism. It is the space that is enclosed within the rectangular prism.
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