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2 years ago

Geometry help , only answer if your sure please. The question is in the attached

Mathematics

1 answer:

GuDViN [60]2 years ago

5 0

Your answer would be D, The translation doesn't change the size or shape. Just location.

Hope this helped.

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Write a polynomial function of minimum degree in standard form with real coefficients whose zeros and their multiplicities inclu

Softa [21]

Answer-

The polynomial function is,

$y=x^4-10x^3+38x^2-64x+40$

Solution-

The zeros of the polynomial are 2 and (3+i). Root 2 has multiplicity of 2 and (3+i) has multiplicity of 1

The general form of the equation will be,

$\Rightarrow y=(x-(2))^2(x-(3+i))(x-(3-i))$ ( ∵ (3-i) is the conjugate of (3+i) )

$\Rightarrow y=(x-2)^2(x-3-i)(x-3+i)$

$\Rightarrow y=(x^2-4x+4)((x-3)-i)((x-3)+i)$

$\Rightarrow y=(x^2-4x+4)((x-3)^2-i^2)$

$\Rightarrow y=(x^2-4x+4)((x^2-6x+9)+1)$

$\Rightarrow y=(x^2-4x+4)(x^2-6x+10)$

$\Rightarrow y=x^2x^2-6x^2x+10x^2-4x^2x+4\cdot \:6xx-4\cdot \:10x+4x^2-4\cdot \:6x+4\cdot \:10$

$\Rightarrow y=x^4-10x^3+14x^2+24x^2-40x-24x+40$

$\Rightarrow y=x^4-10x^3+38x^2-64x+40$

Therefore, this is the required polynomial function.

4 0

3 years ago

jester has a piece of wood measuring 1 and 2/3 m.he needs to cut in pieces measuring 3/4 m long.how many pieces of wood did jest

sveticcg [70]

Answer:

2 pieces

Step-by-step explanation:

Given

$Length = 1\frac{2}{3}m$

$Pieces = \frac{3}{4}m$

Required

Calculate the number of pieces

To do this, we have to divide the length of the wood by the length of each piece.

Represent this with x

$x= \frac{Length}{Pieces}$

$x= 1\frac{2}{3}/\frac{3}{4}$

Convert mixed numbers to improper fraction

$x= \frac{5}{3}/\frac{3}{4}$

Change division to multiplication

$x= \frac{5}{3}*\frac{4}{3}$

$x= \frac{20}{9}$

$x = 2.22$

$x = 2$

6 0

2 years ago

76 is 80% of what number

Shkiper50 [21]

Answer:

Step-by-step explanation:

6 0

3 years ago

a car moves with the speed of 40 km/h for 15 minutes and then with a speed of 60 km/h for the next 5 minutes find the total dist

Gekata [30.6K]

Answer: 8

Step-by-step explanation:

Umm idk

4 0

3 years ago

I seriously need help

777dan777 [17]

Answer:

x(t) = - 5 + 6t and y(t) = 3 - 9t

Step-by-step explanation:

We have to identify the set of parametric equations over the interval 0 ≤ t ≤ 1 defines the line segment with initial point (-5,3) and terminal point (1,-6).

Now, put t = 0 in the sets of parametric equations in the options so that the x value is - 5 and the y-value is 3.

x(t) = - 5 + t and y(t) = 3 - 6t and

x(t) = - 5 + 6t and y(t) = 3 - 9t

Both of the above sets of equations satisfy this above conditions.

Now, put t = 1 in both the above sets of parametric equations and check where we get x = 1 and y = -6.

So, the only set, x(t) = - 5 + 6t and y(t) = 3 - 9t satisfies this condition.

Therefore, this is the answer. (Answer)

8 0

3 years ago