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Triss [41]
3 years ago
9

On a coordinate plane, 2 triangles are shown. Triangle 1 has points at A (negative 3, 4), B (negative 2, 1), C (negative 4, 1).

Triangle 2 has points at A prime (4, negative 2), B prime (3, negative 5), C prime (5, negative 5).
Which rule represents the translation from the pre-image, ΔABC, to the image, ΔA'B'C'?

(x, y) → (x + 7, y + 6)
(x, y) → (x + 7, y – 6)
(x, y) → (x – 6, y + 7)
(x, y) → (x + 6, y + 7)
Mathematics
2 answers:
sergij07 [2.7K]3 years ago
5 0

Answer:

On a coordinate plane, 2 triangles are shown. Triangle F G H has points (1, 1), (4, 5), (5, 1). Triangle F prime G prime H prime has points (negative 1, negative 1), (negative 4, negative 5), (negative 5, negative 1). What are the coordinates of vertex F" of ΔF"G"H"?

Step-by-step explanation:

11Alexandr11 [23.1K]3 years ago
5 0

It's B. (x, y) → (x + 7, y – 6)

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Solve the equation by completing the square. Round to the nearest hundredth if necessary. 3x^2 - 6x - 24 = 0
Fofino [41]

x= 4, -2 or 3(x-4)(x+2)

8 0
3 years ago
A sample was taken of the salaries of four employees from a large company. the following are their salaries, in thousands of dol
Free_Kalibri [48]

For given sample of salaries of four employees, the variance of their salaries is: 26 thousands of dollars

The formula for the variance is,

S^2=\frac{\sum (x_i - \bar{x})^2}{n-1}

where,

S^2 = sample variance

x_i = the value of the one observation

\bar{x} = the mean value of all observations

n = the number of observations

For given question,

n = 4

First we find the mean of their salaries.

(33 + 31 + 24 + 36 ) / 4 = 31

So, \bar{x}=31

Using the formula for variance ,

S^2=\frac{(33-31)^2}{4-1}+\frac{(31-31)^2}{4-1}+\frac{(24-31)^2}{4-1}+\frac{(36-31)^2}{4-1}\\\\ S^2=\frac{4}{3}  + \frac{0}{3} + \frac{49}{3} + \frac{25}{3} \\\\S^2= \frac{4+49+25}{3}\\\\S^2=\frac{78}{3}  \\\\S^2=26

Therefore, for given sample of salaries of four employees, the variance of their salaries is: 26 thousands of dollars

Learn more about the variance here:

brainly.com/question/13673183

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7 0
2 years ago
The value of the correlation coefficient is always in the range<br> a. 0 to 1 b. 1 to 1 c. 1 to 0
dlinn [17]

Answer:

-1 to 1

Step-by-step explanation:

The correlation Coefficient gives the degree of relationship between two variables while also giving an hint about the type of relationship between them, (positive or negative). Correlation Coefficient could take any value bwuqwen - 1 and 1. With values closer to - 1 or 1 indicating a strong relationship between the variables, Coefficient of 0 means no relationship and a negative value means negative relationship while a positive value plies a positive relationship.

7 0
3 years ago
Two cars start at a given point and travel in the same direction at average speeds of 45 miles per hour and 52 miles per hour (s
Citrus2011 [14]

Answer:

half apart

Step-by-step explanation:

hope it help you

7 0
3 years ago
AT&amp;T charges $350 to get a plan with them, plus $60 per month. T-Mobile charges a $275 initial fee, plus $80 per month. Writ
larisa86 [58]

Given :

AT&T charges $350 to get a plan with them, plus $60 per month.

T-Mobile charges a $275 initial fee, plus $80 per month.

To Find :

Write an equation or inequality that can be used to determine the number of months it would take for T-Mobile to cost the same or more than AT&T.

Solution :

Money-time relation of plan AT&T :

M_1 = 60x + 350

Money-time relation of plan T-Mobile :

M_2 = 80y + 275

( Here, x and y are number of months )

Let, after t months would take for T-Mobile to cost the same or more than AT&T.

So, M_2\ge M_1

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Hence, this is the required solution.

5 0
3 years ago
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