What is the value of y when x=3

Which of the following is used to inscribe a square in a circle?

katrin [286]

Answer:

The option which is used to inscribe a square in a circle is option B

B. Construct a perpendicular bisector of the diameter of the circle

Step-by-step explanation:

The steps required to inscribe a square in a circle are;

1) Draw the circle using a compass

2) Draw the diameter of the circle, that passes through the center of the circle with a straight edge label the endpoint of the diameter X and Y

3) Construct the line perpendicular to the diameter of the circle and label the endpoints as A and B

The figure formed by joining the endpoints X, Y, A, and B is the inscribed square of the circle

Therefore, the correct option is to construct a perpendicular bisector of the diameter of the circle.

8 0

4 years ago

Tim ate four more cookies than Alice.Bob ate twice as many cookies as Tim. If x represents the number of cookies alive ate,which

frosja888 [35]

Answer:

(x + 4) x 2

Step-by-step explanation:

x represents number of cookies Alice ate.

x + 4 represents the number of cookies Tim ate.

As Bob had eaten twice the number of cookies that Alice ate the expression should be

(x + 4) x 2

5 0

4 years ago

What’s the answer I don’t know it

vazorg [7]

Answer:

BE=DE and AE=CE (the order of these 2 does not matter)

Vertical Angles

SAS

Step-by-step explanation:

8 0

3 years ago

The indicated function y1(x) is a solution of the associated homogeneous equation. Use the method of reduction of order to find

9966 [12]

Answer:

The particular integral of given differential equation

$y_{p} = \frac{1}{4} ( x - (\frac{-5}{4} ) (1))$

General solution of given differential equation

$y = y_{c} + y_{p}$

$Y (x) = C_{1} e^{x} + C_{2} e^{4x} + \frac{1}{4} ( x + (\frac{5}{4} ))$

Step-by-step explanation:

Step(i):-

Given Differential equation y'' − 5 y' + 4 y = x

Given equation in operator form

D²y - 5 Dy + 4 y = x

⇒ ( D² - 5 D + 4 ) y =x

⇒ f(D) y = Q

where f(D) = D² - 5 D + 4 and Q(x) = x

The auxiliary equation f(m) =0

m²-5 m + 4 =0

m² - 4 m - m + 4 =0

m ( m -4 ) -1 ( m-4) =0

(m - 1) =0 and ( m-4) =0

m = 1 and m =4

The complementary function

$Y_{c} = C_{1} e^{x} + C_{2} e^{4x}$

Step(ii):-

particular integral

Particular integral

$y_{p} = \frac{1}{f(D)} Q(x) = \frac{1}{D^{2} - 5 D + 4} X$

taking common '4'

$= \frac{1}{4(1 + (\frac{D^{2} - 5 D}{4} ))} X$

$=\frac{1}{4} (1 + (\frac{D^{2} -5D}{4})^{-1} )} X$

applying binomial expression

( 1 + x )⁻¹ = 1 - x + x² - x³ +.....

$=\frac{1}{4} (1 - (\frac{D^{2} -5D}{4}) +((\frac{D^{2} -5D}{4})^{2} -...} )X$

Now simplifying and we will use notation D = $\frac{dy}{dx}$

$=\frac{1}{4} (x - (\frac{D^{2} -5D}{4})x +((\frac{D^{2} -5D}{4})^{2}(x) -...}$

Higher degree terms are neglected

$=\frac{1}{4} (x - (\frac{ -5 D}{4}) x)$

The particular integral of given differential equation

$y_{p} = \frac{1}{4} ( x - (\frac{-5}{4} ) (1))$

Final answer:-

General solution of given differential equation

$y = y_{c} + y_{p}$

$Y (x) = C_{1} e^{x} + C_{2} e^{4x} + \frac{1}{4} ( x + (\frac{5}{4} ))$

4 0

3 years ago

A triangle has angle measurements of 62 degrees and 91 degrees. What is the measurement of the third angle?

inna [77]

Answer:

C 27 degrees

Step-by-step explanation:

The sum of the angles of a triangle add to 180. Let x be the third angle

62+ 91 +x = 180

Combine like terms

153+x = 180

Subtract 153 from each side

153+x-153 = 180-153

x =27

5 0

3 years ago

Read 2 more answers