Helpppppp pleaseeee I have to ansswer Find the area of the shaded region

Mathematics

1 answer:

murzikaleks [220]3 years ago

6 0

Answer:

Area = 6.6 cm²

Step-by-step explanation:

Area of the shaded region =

Area of Rectangle - Area of Trapezoid - Area of circle - Area of Triangle

Area of rectangle = Length x Breadth

= 3 x ( 1.5 + 2 + 1.5)

= 3 x 5

= 15 cm²

Area of the trapezoid = h x ( a + b )/2

= 1.5 x ( 3 + 1)/2

= 1.5 x 2

= 3 cm²

Area of the circle = π x r²

= 3.14 x 1 [diameter, d = 2 cm, r = d/2 =1]

= 3.14 cm²

Area of triangle = (1/2) x base x height

= (1/2) x 3 x 1.5

= 2.25 cm²

Area of the shaded region = 15 - 3 - 3.14 - 2.25

= 6.61 cm²

= 6.6 cm ² [ round to nearest tenth ]

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let f(x)= p+ 8/x-q. the line x=4 is a vertical asymptote to the graph of f. what is the value of q and p, if the y intercept is

svlad2 [7]

Answer:

The value of q and p is 4 and -24 respectively.

Step-by-step explanation:

Being $f(x)=\frac{p+8}{x-q}$ , the line x=4 is a vertical asymptote to the graph of f(x). The line r is an asymptote of a function if the graph of the function is infinitely close to the line r. That is, an asymptote is a line to which a function approaches indefinitely, without ever touching it.

Being a rational function that which can be expressed as the quotient of two polynomials, a vertical asymptote occurs when the denominator is 0, that is, where the function is not defined. In this case:

x - q= 0

Solving:

x= q

Being the line x=4 the vertical asymptote, then

4=q

Then the function f (x) is:

$f(x)=y=\frac{p+8}{x-4}$