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3 years ago

When you translate, rotate or reflect a figure how does the image compare to the original figure?

2 answers:

8 0

The image is congruent to the original figure. The translation, rotation and reflection operations do not change the size or shape of the figure. It just moves it around in some fashion. Think of it like this: imagine you had a camera and you were aiming it at a triangle. If the triangle holds still, but you move the camera, then the viewer (watching it later) will see the triangle move. In reality, it's the camera moving of course. The triangle does not change its size or shape as the triangle isn't moving at all. This idea can be applied to reflections and rotations as well.

trasher [3.6K]3 years ago

3 0

Answer:

the translations are all congruent translations

Step-by-step explanation:

no matter how you translate the figure the prime of the firgure will be congruent.

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For the given quadratic equation convert into vertex form, find the vertex and find the value for x=6 Y=-2x^2+2x+2

Serga [27]

Answer:

Part 1) The vertex is the point (0.50,2.50)

part 2) $y=-58$

Step-by-step explanation:

we have

$y=-2x^{2} +2x+2$

Part 1) Convert into vertex form

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$y-2=-2x^{2} +2x$

Factor the leading coefficient

$y-2=-2(x^{2} -x)$

Complete the square. Remember to balance the equation by adding the same constants to each side

$y-2-0.50=-2(x^{2} -x+0.25)$

$y-2.50=-2(x^{2} -x+0.25)$

$y-2.50=-2(x-0.50)^{2}$

$y=-2(x-0.50)^{2}+2.50$ -----> equation in vertex form

The vertex is the point (0.50,2.50)

Part 2) Find the value of y for x=6

substitute the value of x in the equation

$y=-2(6)^{2} +2(6)+2$

$y=-72 +12+2$

$y=-58$

4 0

3 years ago

4/7 + 1/8 = what does this equal

Fudgin [204]

Answer:

39/56

Step-by-step explanation:

When you add fractions, both of the base numbers (denominators) have to be the same number in order to add the top numbers (numerators).

The easiest way to do this is to multiply each denominator by the other number. For example, 8 * 7 and 7 * 8. So you will have 56 and 56. You also need to multiple the numerator by that number. So, 1 * 7 and 4 * 8. So you will have 7 and 32. This will show as 7/56 + 32/56. Finally, add the numerators - > 39/56

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2 years ago

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If the x goes after (1-) then it’s going to be x=-4

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3 years ago

Solving Exponential Inequality:<br><br>ln(x) > 3

Charra [1.4K]

solve in the following way.

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3 years ago

Please please please help!! i’ll mark the brainliest and give 15 points!!!!

Korolek [52]

9514 1404 393

Answer:

-108

Step-by-step explanation:

About the easiest way to do this for small values of n is to compute each of the terms using the given recurrence relation.

$a_1=4\\\\a_2=-3a_1=-3(4)=-12\\\\a_3=-3a_2=-3(-12)=36\\\\a_4=-3a_3=-3(36)=-108\\\\\boxed{a_4=-108}$

_____

<em>Alternate solution</em>

You recognize that the recurrence relation describes a geometric sequence with a first term of 4 and a common ratio of -3. The n-th term of a geometric sequence is ...

$a_n=a_1\cdot r^{n-1} \qquad\text{for first term $a_1$ and common ratio $r$}$

Then the 4th term will be ...

$a_4=4\cdot(-3)^{4-1}=4\cdot(-27)=-108$

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3 years ago