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ELEN [110]
3 years ago
9

Please help me with this asap!

Mathematics
1 answer:
Molodets [167]3 years ago
5 0

Answer:

  • slope: -3/2
  • R(6, -10)

Step-by-step explanation:

Point B is 6 units below and 4 units to the right of A, so the slope is ...

  slope = (change in y)/(change in x) = -6/4 = -3/2

Point R corresponds to point B, so will be 6 units below and 4 units to the right of point Q.

  R = Q + (4, -6) = (2, -4) + (4, -6) = (2+4, -4-6)

  R = (6, -10)

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If c is a real number and if 1 + i is a solution of the equation x^2 -2x + c = 0, what is the value of c?
Nana76 [90]

Answer:

c = 2

Step-by-step explanation:

Substitute x = 1 + i into the equation

(1 + i)² - 2(1 + i) + c = 0 ← distribute left side

1 + 2i + i² - 2 - 2i + c = 0 ( note that i² = - 1 )

1 + 2i - 1 - 2 - 2i + c = 0 ← collect like terms on left

- 2 + c = 0 ( add 2 to both sides )

c = 2

6 0
3 years ago
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Find the volume of a cube with a side length of 2 in, to the nearest tenth of a cubic
galina1969 [7]

Answer:

8

Step-by-step explanation:

volume of cube = side lenght ^3

= 2^3

= 8cubic inch.

8 0
3 years ago
Suppose a certain species of fawns between 1 and 5 months old have a body weight that is approximately normally distributed with
worty [1.4K]

Answer:

z

Step-by-step explanation:

Assuming this complete question:

"Suppose a certain species of fawns between 1 and 5 months old have a body weight that is approximately normally distributed with mean \mu =26 kilograms and standard deviation \sigma=4.2 kilograms. Let x be the weight of a fawn in kilograms. Convert the following z interval to a x interval.

X"

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:

X \sim N(26,4.2)  

Where \mu=26 and \sigma=4.2

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

We know that the Z scale and the normal distribution are equivalent since the Z scales is a linear transformation of the normal distribution.

We can convert the corresponding z score for x=42.6 like this:

z=\frac{42.6-26}{4.2}=3.95

So then the corresponding z scale would be:

z

7 0
3 years ago
Which best describes the transformation that occurs from the graph of f(x) = x2 to g(x) = (x – 2)2 + 3?
Andrei [34K]

Answer:

A. right 2, up 3

Step-by-step explanation:

We have that,

The function f(x) = x^2 is transformed to g(x) =(x- 2)^2+3.

We see that,

The function f(x) is translated 2 units to the right and 3 units upwards to obtain the function g(x).

So, the correct transformation is 'right 2, up 3'.

Hence, option A is correct.

5 0
3 years ago
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Will give brainliest! Please explain how I solve the ratio 16/32=12/24
goldenfox [79]

To solve, simply simplify each fraction

(16/32)/(16/16) = 1/2

(12/24)/(12/12) = 1/2

True, the equation given to us is true.

hope this helps

8 0
3 years ago
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