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3 years ago

If quadrilateral 1 is reflected across the x-axis and translated 8 units down to form quadrilateral 2, which statement is true?

Mathematics

1 answer:

grigory [225]3 years ago

5 0

Answer:

(A) Quadrilateral 1 is congruent to quadrilateral 2 because the transformations are rigid.

Step-by-step explanation:

This is because since it's only being reflected across the y-axis and translated 8 units down, it's still an isometric.

Isometry or rigid transformation is the opposite of a non-rigid transformation and occurs during translations, reflections and rotations. Non-rigid transformations occur in dilations.

Isometry basically keeps all measure angles and distances of the polygon the same before and after a transformation.

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3 years ago

A home appliance salesperson wants to earn a total of 3,600 next mouth including his base salary and commissions. He earns a bas

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3 years ago

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2 years ago

Identify each function that has a remainder of -3 when divided x+6

Sergeu [11.5K]

Answer:

Step-by-step explanation:

According to remainder theorem, you can know the remainder of these polynomials if you plug in x = -6 into them.

So we will plug in -6 into x of all the polynomials ( A through D) and see which one equals -3.

For A:

$x^5 + 2x^2 - 30x + 30\\=(-6)^5 + 2(-6)^2 - 30(-6) + 30\\=-7494$

For B:

$x^4 + 4x^3 - 21x^2 - 53x + 12\\=(-6)^4 + 4(-6)^3 - 21(-6)^2 - 53(-6) + 12\\=6$

For C:

$x^3 - 10x^2 - 7\\=(-6)^3 - 10(-6)^2 - 7\\=-583$

For D:

$x^4 + 6x^3 - 10x - 63\\=(-6)^4 + 6(-6)^3 - 10(-6) - 63\\=-3$

The only function that has a remainder of -3 when divided by x + 6 is the fourth one, answer choice D.

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3 years ago

Belinda bought a car one year ago.

lesya692 [45]

Answer:

$16,500

Step-by-step explanation:

The computation of the amount that should be paid for the car is shown below:

Since the car would be purchased one year ago

And, the value of the car would be decreased by 15% to $14025

So the amount that should be paid is

= $14025 × 100 ÷ (100 - 0.15)

= $16,500

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3 years ago