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saveliy_v [14]
3 years ago
9

Coordinate plane with triangle EFG with E at 0 comma 5, F at 1 comma 1, and G at negative 2 comma 1. Point H at 1 comma 1 is on

segment GF, and points E and H are connected with a segment.
Triangle EFG is dilated by a scale factor of 2 centered at (0, 2) to create triangle E'F'G'. Which statement is true about the dilation?

segment EG ≅ segment E prime G prime.
The slope of segment EF is the same as the slope of segment E prime H prime.
segment H prime F prime will overlap segment HF.
segment EH and segment E prime H prime both pass through the center of dilation.
Mathematics
2 answers:
nexus9112 [7]3 years ago
6 0

Answer:

The answer is A

Step-by-step explanation:

I'm taking the test

Oksana_A [137]3 years ago
5 0

Answer:

Triangle EFG is dilated by a scale factor of 2 centered at (0, 2) to create triangle E'F'G'. Which statement is true about the dilation?

segment EG ≅ segment E prime G prime.

The slope of segment EF is the same as the slope of segment E prime H prime.

segment H prime F prime will overlap segment HF.

segment EH and segment E prime H prime both pass through the center of dilation.

Step-by-step explanation:

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Nick bought some sneakers that were 15% off the regular price of $120. If an 8% sales tax was added to the cost of the sneakers,
inn [45]
That would be $110.16
8 0
3 years ago
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What is the minimum value for the function shown in the graph? Enter your answer in the box. A sinusoid function graphed on a co
DIA [1.3K]

The sinusoidal function graph has a period of 2·π and a minimum point

with coordinates (-0.5·n·π, -6) where n = -5, -1, 3, ...

Response:

  • The minimum value of the function is -6

<h3>How to find the minimum value of a function?</h3>

The minimum value of a function is the lowest vertex value of the

function.

The given graph description, is the graph of the following function;

f(t) = 0.5·sin(t) - 5.5

The minimum value is given at the location where, sin(t) = -1, which gives;

f(t) = 0.5 × (-1) - 5.5 = -6

The minimum value of the function is therefore;

  • f(t) =<u> -6</u>

Learn more about the graphs of functions here:

brainly.com/question/26254100

8 0
2 years ago
Given the function f(x) = 2^x, find the value of f^−1(32).
klio [65]
f(x)= 2^{x}

We are to find the value of f^{-1}(32)

First we need to find the inverse of f(x) . The inverse of 2^{x} is \frac{ln(x)}{ln(2)}.

Steps to find inverse of f(x) are shown below in the image.

So f^{-1}(32) = \frac{ln(32)}{ln(2)}=5

Therefore, the correct answer is option C

5 0
3 years ago
Please help me :((( it’s geometry
NikAS [45]

\tt Step-by-step~explanation:

\tt Area:

To solve for the area of a triangle, we multiply the length and height, then divide that by two. L = 10. H = 7.

\tt 10*7=70\\70/2=35\\35=A

\tt Perimeter:

\tt Step~1:

To solve for the perimeter, or edges, of the triangle, we need to use the Pythagorean Theorem: a² + b² = c² to solve for the third side. We already know two measures: 10 and 7. Now we need to square them, add them together to get c², then take the root of that number.

\tt 7^2=49\\10^2=100\\100+49=\sqrt{149}\\\sqrt{149

We cannot simplify √149, so we either leave it, or round it.

\tt \sqrt{149}\\12.2066

This is rounded to the nearest 10,000.

\tt Step~2:

Now that we have the measure of the longest side, we can add all three sides together to get the perimeter of the triangle.

\tt 10+7+\sqrt{149}=17+\sqrt{149}=P\\Rounded~to~the~nearest~1,000th:~29.207=P

\large\boxed{\tt Our~final~answer: ~A=35,~P=17+\sqrt{149}}

5 0
3 years ago
The sum of the first three terms in a GP is 38.Their product is 1728.Find the values of the three terms.
dusya [7]

Answer:

The value of the three terms is 8 and 18

Step-by-step explanation:

Let "a" be the first term and "r" be the common ratio.

Then from the condition, we have these two equations

   a + ar + ar^2  =   38,      (1)

   a*(ar*)*(ar^2) = 1728.      (2)

From equation (2),  a^3*r^3 = 1728,  or  (ar)^3 = 1728,   which implies

   ar = root%283%2C1728%29 = 12;          (3)    

hence,  

   r  = 12%2Fa.                   (4)

Now, in equation (1) replace the term  ar  by 12, based on (3).  You will get

   a + 12 + ar^2 =  38,   which implies

   a + ar^2 = 26.              (5)

Next, substitute  r = 12%2Fa  into equation (5), replacing "r" there.  You will get

   a + a%2A%28144%2Fa%5E2%29 = 26,   or

   a + 144%2Fa = 26.

Multiply by "a" both sides and simplify

   a^2 - 26a + 144 = 0,

   %28a-13%29%5E2 - 169 + 144 = 0

   %28a-13%29%5E2 = 25

   a - 13 = +/- sqrt%2825%29 = +/- 5.

Thus two solutions for "a" are  a = 13 + 5 = 18  or  a = 13 - 5 = 8.

If  a =  8, then from (4)  r = 12%2F8 = 3%2F2.

If  a = 18, then from (4)  r = 12%2F18 = 2%2F3.

   

In the first case, if a = 8,  then the three terms are  8, 8%2A%283%2F2%29 = 12  and  8%2A%283%2F2%29%5E2 = 18.

   In this case, the sum of terms is  8 + 12 + 18 = 38, so this solution does work.

In the second case, if a = 18,  then the three terms are  18, 18%2A%282%2F3%29 = 12  and  18%2A%282%2F3%29%5E2 = 8.

   In this case, the sum of terms is  18 + 12 + 8 = 38, so this solution does work, too.

ANSWER.  The problem has two solution:  

        a)  first term is 18;  the common difference is 2%2F3  and the progression is  18, 12, 8.

        b)  first term is  8;  the common difference is 3%2F2  and the progression is   8, 12, 18.

4 0
2 years ago
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