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RideAnS [48]
3 years ago
10

Square GYTD has vertices G(-4,3) ; Y(0, 3) , T(0, -1) and D(-4, -1) . square GYTD is translated 2 units left and 2 units up what

produce Square G'Y'T'D' which coordinate describes the vertices of image
Mathematics
1 answer:
barxatty [35]3 years ago
6 0
The coordinates of the vertices of the image are ...

G' = G + (-2, 2) = (-4, 3) + (-2, 2) = (-6, 5)

Y' = Y + (-2, 2) = (0, 3) + (-2, 2) = (-2, 5)

T' = T + (-2, 2) = (0, -1) + (-2, 2) = (-2, 1)

D' = D + (-2, 2) = (-4, -1) + (-2, 2) = (-6, 1)
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How many ways are there to rearrange the letters ALIVE in such a way that the word EVIL is not contained in the resulting word
Sergio [31]

Answer: 118 combinations.

Step-by-step explanation:

In ALIVE we have 5 letters, rearranging it we have the possible options of:

5 options for the first letter.

4 options for the second letter, as one was already chosen for the first one

3 options for the third letter, as 2 were already chosen.

2 options for the fourth letter.

1 option for the last letter.

The total number of combinations will be equal to the product of the numbers of options for each letter, then we have:

5*4*3*2*1 = 120 combinations.

And the combinations where the word EVIL is formed are:

AEVIL

EVILA

2 combinations, then the total number of combinations such that the word evil is not formed are:

120 - 2 = 118 combinations.

5 0
3 years ago
The graphs of f(x) and g(x) are shown below:
rosijanka [135]
<h2>Answer:</h2>

Option: C is the correct answer.

            C.)   x = −3.8, 3

<h2>Step-by-step explanation:</h2>

The function f(x) is given by:

           f(x)=x^2-x-12

and the function g(x) is given by:

            g(x)=-1.8x-0.6

Now, we are asked to find the solution of the equation:

        f(x)=g(x)

i.e. we have to find the value of x such that both the functions are equal i.e.

x^2-x-12=-1.8x-0.6\\\\i.e.\\\\x^2-x+1.8x-12+0.6=0\\\\i.e.\\\\x^2+0.8x-11.4=0\\\\i.e.\\\\10x^2+8x-114=0\\\\i.e.\\\\5x^2+4x-57=0

Now, on solving the equation using the quadratic formula i.e. the solution of the equation:

ax^2+bx+c=0

is given by:

x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}

Here we have:

a=5,\ b=4\ and\ c=-57

Hence, the solution is given by:

x=\dfrac{-4\pm \sqrt{4^2-4\times 5\times (-57)}}{2\times 5}\\\\i.e.\\\\x=\dfrac{-4\pm \sqrt{16+1140}}{10}\\\\i.e.\\\\x=-3.8\ and\ x=3

6 0
3 years ago
Bella saw that 7 out of 11 people brought an umbrella to the beach. There 99 people there. How many of them did not have a beach
Alinara [238K]
Hello!

7 out of 11 people brought an umbrella to the beach

this is a fraction of 7/11

We multiply this by 99 to get how many people brought an umbrella out of 99

7/11 * 99 = 63

You subtract this from 99 to see how many did not have an umbrella

99 - 63 = 36

The answer is 36 people

Hope this helps!
7 0
3 years ago
State whether each situation has independent or paired​ (dependent) samples. a. A researcher wants to compare the hand–eye coord
Alex73 [517]

Answer:

a. A researcher wants to compare the hand–eye coordination of men and women. She finds a random sample of 100 men and 100 ​women, and measures their hand–eye coordination = paired samples

b. A researcher wants to know whether professors with tenure have fewer office hours than professors without tenure. She observes the number of office hours for professors with and without tenure. =  independent samples

Explanation:

Paired-samples t tests compare scores on two different variables but for the same group of cases; independent-samples t tests compare scores on the same variable but for two different groups of cases.

6 0
3 years ago
Please answer i’ll give extra points
Rufina [12.5K]

Answer:

i think it might be d

Step-by-step explanation:

7 0
3 years ago
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