What is the value of the x-coordinate that is 6 units to the right of (3.25,-4)?

The slope of the line whose equation is 2x + 5y + 1 = 0 is A: -2/5 B -1/5 C 5/2

ArbitrLikvidat [17]

The answer would be C 5/2

8 0

2 years ago

The volume of a rectangular prism is represented by the function x3 + 11x2 + 20x – 32. The width of the box is x – 1 while the h

Oksi-84 [34.3K]

we know that

the volume of a rectangular prism is equal to

$V=L*W*H$

where

L is the length of the box

W is the width of the box

H is is the height of the box

in this problem we have

$V=x^{3\ }+11x^2+20x-32$

$W=x-1$

$H=x+8$

$L=?$

Find the length of the box

Using a graph tool-------> we will determine the roots of the equation of volume

see the attached figure

the roots are

$x=-8\\x=-4\\ x=1$

so

$x^{3\ }+11x^2+20x-32=(x+8)*(x+4)*(x-1)$

therefore

the answer is

the length of the box is equal to $(x+4)$

8 0

2 years ago

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Triangle A″B″C″ is formed using the translation (x + 2, y + 0) and the dilation by a scale factor of one half from the origin. W

Dafna1 [17]

Answer:

A. segment A double prime B double prime = segment AB over 2

Step-by-step explanation:

Triangle ABC with coordinates of:

A = (-3, 3), B = (1, -3), C = (-3, -3)

Translation (x + 2, y + 0), coordinates will be:

A' = (-1, 3), B = ( 3, -3), C = (-1, -3)

Dilation by a scale factor of 1/2 from the origin, coordinates will be:

A'' = (-0.5, 1.5), B'' = (1.5, -1.5), C= (-0.5, -1.5)

Let's find the length of AB and A''B'' using distance formula

d = √(x2-x1)² + (y2 - y1)²

AB = √(1-(-3))² + (-3 -3)² = √4²+6² = √16+36 = √52 = 2√13
A''B'' = √(1.5 - (-0.5)) + (-1.5 - 1.5)² = √2²+3² = √13

We see that

AB = 2A''B''

Now the answer options:

A. segment A double prime B double prime = segment AB over 2

Correct

B. segment AB = segment A double prime B double prime over 2

Incorrect. Should be AB = A''B''*2

C. segment AB over segment A double prime B double prime = one half

Incorrect. Should be AB/A''B'' = 2

D. segment A double prime B double prime over segment AB = 2

Incorrect. Should be A''B''/AB = 1/2

7 0

2 years ago

Read 2 more answers

A rental car company has noticed that the distribution of the number of miles customers put on rental cars per day is skewed to

kodGreya [7K]

Using the Central Limit Theorem, the correct option is:

(c) Average number of miles put on a rental car per day across 25 customers.

--------------------------

The Central Limit Theorem states that, for a normally distributed variable X, with mean $\mu$ and standard deviation $\sigma$ , the sample means of size m are approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

The interpretation related to this problem is that the larger the sample size, the smaller the standard deviation.
Thus, among the options, the largest sample is 25, thus, option c will have the smallest standard deviation.

A similar problem is given at brainly.com/question/23088374

5 0

2 years ago

An item is regularly priced at $90. It is on sale for 30% off the regular price. What is the sale price

madreJ [45]

Answer:

63

Step-by-step explanation:

Because 30 percent of 90 equals 27

Thus

90 - 27 = 63.

Please mark brainliest and give 5 stars.

3 0

2 years ago