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2 years ago

PLEASE HELP ILL MARK YOU BRAINLIEST

Mathematics

1 answer:

trapecia [35]2 years ago

7 0

Answer:

Part A: x⁴ + x³ + x²

Part B: (4·x + 2) + (-5·x + 6) = -x + 8

Step-by-step explanation:

Part A:

We note that standard form means that the terms of the polynomial are arranged in order starting from the the largest exponential of the polynomial to the smallest exponent

Therefore, we have

x⁴ + x³ + x² is a fourth-degree polynomial with three terms in standard form

It is known that the above polynomial is in standard form based on its ordered arrangement from the largest exponential to the smallest exponential

Part B:

Polynomial are closed under addition, that is when two polynomials are added only the coefficients change as the exponents and variables remain unchanged as follows;

(4·x + 2) + (-5·x + 6)

= 4·x + 2 - 5·x + 6

= 4·x - 5·x + 2 + 6

= -x + 8 which is a polynomial with the same variable and exponent.

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Expand or factor each of the following expressions to determine which expressions are equivalent.

bearhunter [10]

(3x-4y)^2=9x^2-24x+16y^2
(3x-2)(9x^2+6x+4)=27x^3-8

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2 years ago

Read 2 more answers

Which of the following triangles are right triangles? select all apply

Alex Ar [27]

Answer:

The following Triangles are Right Triangles:

1. Δ ABC Where AB = 76 in, BC = 357 in, and AC = 365 in.

2. Δ MIT Where MI = 123 cm, IT = 836 cm, and MT = 845 cm.

3. Δ MEL Where ME = 20 ft, EL = 99 ft, and ML = 101 ft.

Step-by-step explanation:

For a Triangle to be a Right Triangle it must Satisfy Pythagoras theorem.

i.e.

$(\textrm{Hypotenuse})^{2} = (\textrm{Shorter leg})^{2}+(\textrm{Longer leg})^{2}$

For Δ ABC Where AB = 76 in, BC = 357 in, and AC = 365 in.

AC² = 365² = 133225

AB² + BC² = 76² + 357² = 1333225

∴ AC² = AB² + BC²

Hence Δ ABC a Right Triangle.

For Δ MIT Where MI = 123 cm, IT = 836 cm, and MT = 845 cm.

MT² = 845² = 71405

MI² + IT² = 123² + 836² = 714025

∴ MT² = MI² + IT²

Hence Δ MIT a Right Triangle.

For Δ MEL Where ME = 20 ft, EL = 99 ft, and ML = 101 ft.

ML² = 101² = 10201

ME² + EL² = 20² + 99² = 10201

∴ ML² = ME² + EL²

Hence Δ MEL a Right Triangle.

7 0

2 years ago

Which figures demonstrate a translation?

Nuetrik [128]

Answer:

3rd and 4th Options are correct choices.

Step-by-step explanation:

We have been given a graph and we are asked to find which of the given figures demonstrate translation.

Since we know that in translation every point of the object must be moved in the same direction and for the same distance. By translation we can shift a figure in upward, downwards, left and right directions.

Now let us see our given choices one by one.

1. Upon looking at figures represented by 1st option we can see that both figures are mirror images to each other. Since we can get mirror images reflecting the pre-image over an axis of symmetry. So the given figures are result of reflection, therefore, 1st option is not a correct choice.

2. We can see that the figures represented by 2nd option are similar. One figure is smaller and other is larger. Since we get a similar image by dilating our pre-image. Therefore, these figures are result of dilation and 2nd option is not correct indeed.

3. We can see that figures represented by 3rd option are same and these figures are result of shifting. We can see that 1st figure is shifted to right to get the second figure, therefore, 3rd option is a correct choice.

4. The figures represented by 4th option are same and these figures are result of shifting. We can see the figure in the bottom is result of shifting the upper figure downwards and then to right. Therefore, 4th option is a correct choice.