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mariarad [96]
1 year ago
6

use the function notation to represent the area of a circle whose circumference is 133 cm.use the function notation to represent

the circumference of a circle whose area is 5.3 cm²

Mathematics
1 answer:
jeka941 year ago
3 0

The area of a circle with radius r is represented by the function h(r ); therefore using the function notation, the area of a circle whose radius is 133 cm is represented by

h(g(133))

(b).

The function that gives the radius as a function of area is

j(A)

and the function that gives the circumference as a function of radius is

f(r)

therefore, the function that gives

f(j(A))

When A = 5.4cm^2 we have

f(j(5.4))

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show that thw roots of the equation (x-a)(x_b)=k^2 are always real if a,b and k are real. Please I really need help with this
VLD [36.1K]

Answer:

see explanation

Step-by-step explanation:

Check the value of the discriminant

Δ = b² - 4ac

• If b² - 4ac > 0 then roots are real

• If b² - 4ac = 0 roots are real and equal

• If b² - 4ac < 0 then roots are not real

given (x - a)(x - b) = k² ( expand factors )

x² - bx - ax - k² = 0 ( in standard form )

x² + x(- a - b) - k² = 0

with a = 1, b = (- a - b), c = -k²

b² - 4ac = (- a - b)² + 4k²

For a, b, k ∈ R then (- a - b)² ≥ 0 and 4k² ≥ 0

Hence roots of the equation are always real for a, b, k ∈ R


           

8 0
3 years ago
What is the area of this tile?
8_murik_8 [283]

Answer:

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8 0
3 years ago
A student finds the slope of the line between (8, 17) and (1, 4). She writes 17-41-8. What mistake did she make? What is the cor
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7 0
3 years ago
PLZ HELP ASAP BEFORE I GET IT WRONG!!!
lord [1]

A. $960.

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5 0
3 years ago
20 POINTS!!!!!!!
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