Find the distance between the points.
(1, 6, 3), (-5, 3, 7)

Answers

Answer 1
Answer:

Answer:

65

Step-by-step explanation:


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What are the new coordinates of the figure above if it is dilated by a scale factor of , with the origin as the center of dilation?

Answers

Answer:

could you show a picture and repost thx

Step-by-step explanation:

If a² + b² = c², then which of the following are also true? Select all that apply.Options
a² - b² = c²
b² + a² = c²
c² + a² = b²
c² - a² = b²
c² - b² = a²

Answers

Answer:

b² + a² = c²

c² - b² = a²

c² - a² = b²

Step-by-step explanation:

This is because its only addition so 2+2=4 no matter how you turn it around. And 4-2=2 is 2 no matter what.

Elsie made a one-sample z interval for a proportion and used the critical value 2 = 1.405.What confidence level did she use?
Choose 1 answer
84%
86%
88%
92%

Answers

Answer:

84%

Step-by-step explanation:

Answer:

84%

Step-by-step explanation:

on Khan Academy

Hello please help me geometry :)

Answers

Answer:

the \: hieght \: of \: the \: trapazium \: \n  is \: 2.5 \: inches

Use Lagrange multipliers to find the indicated extrema, assuming that x, and y are positive.Minimize f(x,y)=x2−10x+y2−14y+28; Constraint: x+y=14

Answers

Answer:

- The values of x and y that minimize the function, subject to the given constraint are 6 and 8 respectively.

- The minimum value of the function = -44

Step-by-step explanation:

The Lagrange multiploer method finds the optimum value of a multivariable function subjected to a given constraint

It replaces the function with a Lagrange equivalent which is

L(x, y) = F(x, y) - λ C(x, y)

where λ Is the lagrange multiplier which can be a function of x and y

F(x, y) = x² - 10x + y² - 14y + 28

C(x, y) = x + y - 14

L(x, y) = x² - 10x + y² - 14y + 28 - λ (x + y - 14)

We now take the partial derivatives of the Lagrange function with respect to x, y and λ respecrively. Then solving to obtain values of x, y and λ that correspond to the minimum of the function. Since the first partial derivatives are all equal to 0 at minimum point.

(∂L/∂x) = 2x - 10 - λ = 0 (eqn 1)

(∂L/∂y) = 2y - 14 - λ = 0 (eqn 2)

(∂L/∂λ) = x + y - 14 = 0 (eqn 3)

Equating eqn 1 and 2

2x - 10 - λ = 2y - 14 - λ

2x - 10 = 2y - 14

2y = 2x - 10 + 14

2y = 2x + 4

y = x + 2 (eqn *)

Substitute eqn ^ into eqn 3

x + y - 14 = 0

x + x + 2 - 14 = 0

2x - 12 = 0

2x = 12

x = 6

y = x + 2 = 6 + 2 = 8

2x - 10 - λ = 0

12 - 10 - λ = 0

λ = 2

The values of x and y that minimize the function are 6 and 8 respectively.

F(x, y) = x² - 10x + y² - 14y + 28

At minimum point, x = 6, y = 8

F(x, y) = 6² - 10(6) + 8² - 14(8) + 28 = 36 - 60 + 64 - 112 + 28 = -44

Hope this Helps!!!

The odds on (against) your bet are 4 to 7. If you bet $70 and win, how much will you gain? (Type an integer or a decimal.)

Answers

Answer: Hi! when someone says that the odds on (against) your bet are 4 to 7, means that you  have 4 chances to lose, and 7 to win.

then if 4 + 7 = 11 = 100%

4/11*100% = 36.36%

and 7/11*100% = 63.63%

You can notice that the probability for a win is bigger than the probability for a loss, so the amount earned will be less than the bet.

So you have a 63% chances of winning

then, if you bet 70$, you will win 70$*4/7 = 40$

so the total return is 70$ + 40$ = 110$