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2 years ago

How do i do transformation in geometry

Mathematics

1 answer:

Lelu [443]2 years ago

8 0

If you translate a point or a figure with a distance, reflect sth over a line or rotate a shape about a point, you have done transformation

transformation has three types (shown in the picture)

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The incomes in a certain large population of college teachers have a Normal distribution, with mean $75,000 and standard deviati

Natali [406]

Answer:

probability that their average salary is more than $77,500 is 0.1587

Step-by-step explanation:

standard error

= 10,000/sqrt(16)

=10,000/4

= 2500

(77,500 - 75000)/2500

2,500/2500

= 1

p (z > 1) = .1587

So, the probability that their average salary is more than $77,500 is 0.1587

8 0

2 years ago

Read 2 more answers

Find the general solution of the given higher-order differential equation. d3u dt3 + d2u dt2 − 2u = 0

STALIN [3.7K]

$\dfrac{\mathrm d^3u}{\mathrm dt^3}+\dfrac{\mathrm d^2u}{\mathrm dt^2}-2u=0$

This ODE has characteristic equation

$r^3+r^2-2=(r^3-r)+(r^2+r-2)=r(r^2-1)+(r+2)(r-1)$

$=(r(r+1)+(r+2))(r-1)=(r^2+2r+2)(r-1)=0$

which has roots at $r=1,-1\pm i$ . Then the characteristic solution to the ODE is

$u(t)=C_1e^t+C_2e^{(-1+i)t}+C_3e^{(-1-i)t}$

$\implies\boxed{u(t)=C_1e^t+C_2e^{-t}\cos t+C_3e^{-t}\sin t}$

6 0

3 years ago

Plz help me quick!!!!!!!!!!!!!!!!!!!!!!!!

beks73 [17]

Answer:

Exact Form: 5/2

Decimal Form: 2.5

Mixed Number Form: 2 1/2

Step-by-step explanation:

5 0

3 years ago

Please help me with this problem

Rom4ik [11]

y=x^2 + x - 2

x + y = 1

Replace y in the second equation:

x + x^2 + x -2 = 1

Simplify:

x^2 + 2x -2 = 1

Subtract 1 from both sides:

x^2 + 2x -3 = 0

Factor:

(x-1) (x+3) = 0

Solve for both x's:

x = 1 and x = -3

Now replace x in the second equation and solve for y using both x values:

1 + y = 1, y = 0

-3 + y = 1, y = 4

Now you have (1,0) and (-3,4) as solutions for (x,y)

XY = x times y:

1 x 0 = 0

-3 x 4 = -12

The answer would be -12

6 0

2 years ago

3x−8 ≤ 23 OR −4x+26≥6 find x

ElenaW [278]

Answer:

3x-8<=23

3x<=23+8

3x< =31

X< = 10.3

-4x+26>=6

-4x>=-20

X>=5

6 0

3 years ago