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3 years ago

The sets

Mathematics

1 answer:

mezya [45]3 years ago

6 0

D U A={-1,1,2,3,48,67}
D n A={none}

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Identify the slope and y-intercept of the equation.<br><br> y = -2x + 1

Liula [17]

Answer:

Slope= -2 y intercept= 1

Step-by-step explanation:

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3 years ago

The circle will be enlarged by a scale factor of 4.

sertanlavr [38]

Answer:

The area of the new circle is $144\pi \ in^2$

Step-by-step explanation:

Given:

radius of the circle = 3 in.

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared.

Let

z-----> the scale factor

x-----> the area of the enlarged circle

y-----> the area of the original circle

So;

$z^2= \frac{x}{y}$

In this problem we have

$z=4$ ----> the scale factor

The area of the original circle is equal to

$y = \pi r^2= \pi (3)^2= 9\pi \ in^2$

Now substituting value of y and solve for x we get;

$4^2=\frac{x}{9\pi}\\ \\x= 16\times9\pi= 144\pi \ in^2$

Hence Area of the new Circle is $144\pi \ in^2$

Also The area of the enlarged circle is 16 times the area of the original circle.

4 0

4 years ago

Glizzy globber rh kwegfiuwefhwiuefhuiwhfiuwehfiuwehfuiwehiuewfhUWE

Kaylis [27]

Answer:

ayo???

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Find two values of c in (− π/ 4 , π /4) such that f(c) is equal to the average value of f(x) = 2 cos(2x) on ( − π/ 4 , π/ 4 ). R

pentagon [3]

Answer:

c₁ = 1/2 cos⁻¹ (2/π) = 0.44

c₂ = -1/2 cos⁻¹ (2/π) = -0.44

Step-by-step explanation:

the average value of f(x)=2 cos(2x) on ( − π/ 4 , π/ 4 ) is

av f(x) =∫[2*cos(2x)] dx /(∫dx) between limits of integration − π/ 4 and π/ 4

thus

av f(x) =∫[cos(2x)] dx /(∫dx) = [sin(2 * π/ 4 ) - sin(2 *(- π/ 4 )] /[ π/ 4 - (-π/ 4)]

= 2*sin (π/2) /(π/2) = 4/π

then the average value of f(x) is 4/π . Thus the values of c such that f(c)= av f(x) are

4/π = 2 cos(2c)

2/π = cos(2c)

c = 1/2 cos⁻¹ (2/π) = 0.44

c= 0.44

since the cosine function is symmetrical with respect to the y axis then also c= -0.44 satisfy the equation

thus

c₁ = 1/2 cos⁻¹ (2/π) = 0.44

c₂ = -1/2 cos⁻¹ (2/π) = -0.44

4 0

4 years ago

Fred and Sam are a team in the local 138.2 miles bike run aton . Fred will compete in the bike race and Sam will compete in the

astraxan [27]

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3 years ago