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Phoenix [80]
3 years ago
14

Which pair of statements about the lengths of two sides of the triangle is true?

Mathematics
1 answer:
inysia [295]3 years ago
5 0

Answer:

well i think the answer is B.

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Tyrone is the supervisor at a water park. His annual salary is $34540. What is his monthly salary?​
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Answer:

the answer I got was 2878.3

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2 years ago
What is equal to the expression (4^-5)^3
Leona [35]

The answer is 1/1073741824 or about 9.313 * 10^-10

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Find the linear approximation of the function g(x) = 3 1 + x at a = 0. g(x) ≈ Correct: Your answer is correct. Use it to approxi
EleoNora [17]

Answer:

3.296x+3

2.835

3.330

Step-by-step explanation:

g(x) = 3^{1+x}

Let the linear approximation be L(x) at a = 0. This is given by

L(x) = g(a) + g'(a)(x-a)

g'(x) is the derivative of g(x). To find this, we use the form

If f(x) = a^x, then f'(x) =a^x\ln a

By doing this and applying chain rule for the power (which is a function of x), we have

g'(x) = 3^{1+x}\ln 3

Then

g'(0) = 3^{1+0}\ln 3 = 3.296

Also g(0) = 3^{1+0} = 3

Hence L(x) = 3+(x-0)\times3.296 = 3.296x + 3

For 3^{0.95}, 1+x = 0.95 and x=-0.05

Using this in L(x),

3^{0.95} = 3.296(-0.05) + 3 = 2.835

For 3^{1.1}, 1+x = 1.1 and x=0.1

Using this in L(x),

3^{1.1} = 3.296(0.1) + 3 = 3.330

7 0
3 years ago
On a coordinate plane, 3 triangles are shown. Triangle B C D has points (1, 4), (1, 2), (5, 3). Triangle B prime C prime D prime
Tresset [83]

The rule which describe the composition of transformations that

maps ΔBCD to ΔB"C"D" is:

Reflection across the y-axis composition translation of 6 units x,

negative 5 units y ⇒ last answer

Step-by-step explanation:

Let us revise the reflection across the y-axis , horizontal translation

and vertical translation

1. If point (x , y) is reflected across the y-axis, then its image is (-x , y)

2. If point (x , y) is translated h units to the right, then its image is

   (x + h , y), if translated h units to the left, then its image is (x - h , y)

3. If point (x , y) is translated k units up, then its image is (x , y + k),

   if translated k units down, then its image is (x , y - k)

∵ The vertices of triangle BCD are (1 , 4) , (1 , 2) , (5 , 3)

∵ The vertices of triangle B'C'D' are (-1 , 4) , (-1 , 2) , (-5 , 3)

∵ The x-coordinates of the vertices of Δ B'C'D' have the same

   magnitude of x-coordinates of Δ BCD and opposite signs

∴ Δ B'C'D' is the image of Δ ABC after reflection across the y-axis

∵ The vertices of triangle B'C'D' are (-1 , 4) , (-1 , 2) , (-5 , 3)

∵ The vertices of triangle B''C''D'' are (5 , -1) , (5 , -3) , (1 , -2)

∵ The image of -1 is 5 and the image of -5 is 1

∴ The x-coordinates of the vertices of triangle B'C'D' are added by 6

∵ The image of 4 is -1 , image of 2 is -3 and the image of 3 is -2

∴ The y-coordinates of the vertices of triangle B'C'D' are subtracted

   by 5

∴ Δ B"C"D" is the image of Δ B'C'D' by translate 6 units to the right

  and 5 units down ⇒ (x + 6 , y - 5)

The rule which describe the composition of transformations that

maps ΔBCD to ΔB"C"D" is:

Reflection across the y-axis composition translation of 6 units x,

negative 5 units y

Learn more:

You can learn more about reflection in brainly.com/question/11203617

#LearnwithBrainly

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65 total test items were on the test.

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