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3 years ago

Hexagon DEFGHI is translated on the coordinate plane below to create hexagon D'E'F'G'H'I':

Mathematics

2 answers:

SVETLANKA909090 [29]3 years ago

6 0

Answer:

(x, y)→(x − 8, y − 7)

Step-by-step explanation:

If we take the hexagon DEFGHI coordinates and apply the rule (x, y)→(x − 8, y − 7) we get:

D (2, 5) → (2 - 8, 5 - 7) = (-6, -2) which corresponds to point D'

E (5, 5) → (5 - 8, 5 - 7) = (-3, -2) which corresponds to point E'

F (6, 3) → (6 - 8, 3 - 7) = (-2, -4) which corresponds to point F'

G (5, 1) → (5 - 8, 1 - 7) = (-3, -6) which corresponds to point G'

H (2, 1) → (2 - 8, 1 - 7) = (-6, -6) which corresponds to point H'

I (1, 3) → (1 - 8, 3 - 7) = (-7, -4) which corresponds to point I'

valentina_108 [34]3 years ago

4 0

The first one is the correct answer

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Likurg_2 [28]

Answer:

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Step-by-step explanation:

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3 years ago

solve this system of linear equations. Separate the X- and Y- values with a comma. -9x+2y=-16 19x+3y=41

Serjik [45]

Answer:

(2, 1)

Step-by-step explanation:

The best way to do this to avoid tedious fractions is to use the addition method (sometimes called the elimination method). We will work to eliminate one of the variables. Since the y values are smaller, let's work to get rid of those. That means we have to have a positive and a negative of the same number so they cancel each other out. We have a 2y and a 3y. The LCM of those numbers is 6, so we will multiply the first equation by a 3 and the second one by a 2. BUT they have to cancel out, so one of those multipliers will have to be negative. I made the 2 negative. Multiplying in the 3 and the -2:

3(-9x + 2y = -16)--> -27x + 6y = -48

-2(19x + 3y = 41)--> -38x - 6y = -82

Now you can see that the 6y and the -6y cancel each other out, leaving us to do the addition of what's left:

-65x = -130 so

x = 2

Now we will go back to either one of the original equations and sub in a 2 for x to solve for y:

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6 0

3 years ago

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A group of 6 students was asked, "How many hours did you watch television last week?" Here are their responses:

vaieri [72.5K]

Answer:

Mean: 11.2

Median: 11

Mode: There is none

Step-by-step explanation:

mean -you add all the numbers and divide by the number of numbers

median- you arrange the data set by numerical value (increasing) and it is basically the "middle number" for example 1, 2, 3, (2 would be the "middle" number" )

mode- is the number that appears most often. in this scenario, all numbers appear the same amount of times (1) so there is no mode.

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3 years ago

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maw [93]

The answer is 100 degrees.

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3 years ago

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I will mark you brainliest!

s344n2d4d5 [400]

Answer:

Rate = 10%

Step-by-step explanation:

We are given with the following details.

Interest earned = $ 116.25

Principal = $ 1550

Interest Rate = r (say)

Time = 9 months

= $\frac{9}{12} years$

We are asked to determine the rate of interest for which we can earn 116.25 interest. As we are not specifically given whether it is a compound or simple interest , we assume it to be simple interest and solve .

The formula for simple interest is given as

$Interest = Principal \times Rate \times time$

$116.25=1550 \times r \times \frac{9}{12}$

$r= \frac{116.25 \times 12}{1550 \times 9}$

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Hence the r = 0.1

Hence the rate of interest is 10%

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3 years ago