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2 years ago

The function f(x)=−4x4+3x3−2x2−x+5 is/has A. order 2 rotational symmetry about the origin

1 answer:

3 0

The answer choice which describes the function is; Choice B; neither symmetry about the y-axis nor has order 2 rotational symmetry about the origin.

<h3>What is rotational symmetry?</h3>

Rotational symmetry, otherwise termed radial symmetry, is the characteristic of a shape when it looks the same after some rotation by a partial turn. On this note, since the function represents a quartic graph, it follows that the function has neither symmetry about the y-axis nor has order 2 rotational symmetry about the origin.

Therefore, the function f(x) = −4x⁴ + 3x³ − 2x² − x + 5 is neither symmetry about the y-axis nor has order 2 rotational symmetry about the origin.

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If a vertical line is dropped from the x-axis to the point (12, –9) in the diagram below, what is the value of sec theta?

faust18 [17]

Answer:

$\sec \theta=\dfrac{5}{4}.$

Step-by-step explanation:

Use the definition of secans:

$\sec \theta=\dfrac{1}{\cos \theta}.$

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Point (12,-9) lies in fourth quadrant, then $\cos \theta>0.$

Consider right triangle with legs 9 and 12, by the Pythagorean theorem,

$\text{hypotenuse}^2=9^2+12^2=81+144=225,\\ \\\text{hypotenuse}=15.$

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How to do this ? Don’t understand it

riadik2000 [5.3K]

X=y+3
-5x-4y=30
-------------------
Substitute y + 3 for x in -5x-4y=30
-5(y+3)-4y=30
-9y-15=30
----------------------------
Add 15 to each side
-9y-15+15=30+15
-9y = 45
-----------------------------------
Divide each side by -9
-9y ÷ -9 = 45 ÷ -9
y = -5
Now we solve for x
====================================================================
Substitute -5 for y in x = y + 3
x=-5+3
x = -2
----------------------
(-2,-5) is your answer

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