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3 years ago

Which Function is the result of translating

Mathematics

1 answer:

mestny [16]3 years ago

7 0

Answer:

C. y = 2x² +8x +6

Step-by-step explanation:

Reflecting f(x) across the y-axis changes the sign of x, so the new function is ...

f(-x)

Vertical scaling by a factor of "a" multiplies the function value by "a", so the new function is ...

a·f(x)

Doing both gives you ...

y = a·f(-x)

y = ax² +4ax +3a

None of the answer choices look like this. However, they match this if a=2:

y = 2x² +8x +6

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)Suppose ABC is a right triangle with sides of lengths a, b, and c and right angle at C. Find the unknown side length using the

konstantin123 [22]

Answer:

$a=\sqrt{7}$

$\text{tan}(A)=\frac{\sqrt{7}}{3}$

Step-by-step explanation:

Please find the attachment.

We have been given that ABC is a right triangle with sides of lengths a, b, and c and right angle at C.

To find the side length a, we will Pythagoras theorem, which states that the sum of squares of two legs of a right triangle is equal to the square of the hypotenuse of right triangle.

$a^2+b^2=c^2$

Upon substituting our given values in Pythagoras theorem, we will get:

$a^2+3^2=4^2$

$a^2+9=16$

$a^2+9-9=16-9$

$a^2=7$

Take square root of both sides:

$a=\sqrt{7}$

Therefore, the length of side 'a' is $\sqrt{7}$ units.

We know that tangent relates opposite side of a right triangle with adjacent side.

$\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}$

We can see that 'a' is opposite side of angle A and 'b' is adjacent side.

$\text{tan}(A)=\frac{a}{b}$

$\text{tan}(A)=\frac{\sqrt{7}}{3}$

Therefore, the value of tan(A) is $\frac{\sqrt{7}}{3}$ .

3 0

3 years ago

31. What is the value of x? 11 3 6 12

BlackZzzverrR [31]

Answer:none of the above

Step-by-step explanation:

4 0

3 years ago

Algebra Help Please

mamaluj [8]

Answer:

5 inches wider

Step-by-step explanation:

The given area expression factors as ...

x² +2x -15 = (x -3)(x +5)

Apparently, we're to assume that these factors represent length times width, and the factor x-3 corresponds to a length that is 3 inches shorter than the old length (x). Then the width is (x+5), which is 5 inches wider than the old length.

3 0

3 years ago

Read 2 more answers

Which transformation would take figure a to figure b

Korolek [52]

Answer:

C. A reflection over the line y = -x

Step-by-step explanation:

You need to reflect that over a line that goes between the two of them. That imaginary line has a rise of -1 (it goes down 1 unit) and a run of 1 (it goes one unit to the right). In other words, the slope is -1. The line should also have a y-intercept of 0 it starts at (0,0).

Put that information in slope-intercept form

y = -1x + 0

You can take out the 0 because it adds nothing to the equation, and you can remove the one because of the same reason, but leave the negative sign.

y = -x

3 0

2 years ago

Which of the following is a prime number between 10 and 20?

PIT_PIT [208]

Answer:11

Step-by-step explanation:

8 0

3 years ago

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