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ZanzabumX [31]
3 years ago
15

A fourth degree polynomial equation is shown below.

Mathematics
1 answer:
natita [175]3 years ago
6 0
<span> 4x^2-8x-12 =
(x -3) * (x +1)

4x^2-24x+32
</span><span>(x -4) * (x -2)

</span>Factored Form
(x -3) * (x +1) * <span>(x -4) * (x -2) = 0

x = 3
x = -1
x = 4
x = 2

All four roots are real numbers and so the graph crosses the x-axis four times.  The graph of the equation would resemble a "W".


</span>
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An angle measures 149.2° more than the measure of its supplementary angle. What is the measure of each angle?
Oksanka [162]
<h2>Solving for the measurements of Complementary Angles</h2><h3>Answer:</h3>

15.4^{\circ} and 164.6^{\circ}

<h3>Step-by-step explanation:</h3>

Recall that Angles that are supplementary to each other add up to 180^{\circ}.

Let a be the measure of the supplementary angle.

If an angle is 149.2^{\circ} more than its supplementary angle, the measure of that angle is a +149.2. The sum of both angles are expressed a +(a +149.2) but since the have to add to 180 as they are supplementary, a +(a +149.2) = 180.

Solving for a:

a +(a +149.2) = 180 \\ a +a +149.2 = 180 \\ 2a +149.2 = 180 \\ 2a +149.2 -149.2 = 180 -149.2 \\ 2a = 30.8 \\ \frac{2a}{2} = \frac{30.8}{2} \\ a = 15.4

Since the other angle measures a +149.2, we can plug in the value of a to find the measure of the angle.

Evaluating a +149.2:

a +149.2 \\ 15.4 +149.2 \\ 164.6

The measure of the angles are 15.4^{\circ} and 164.6^{\circ}

6 0
3 years ago
My life is on the LINE help me!
Ivahew [28]

Answer:

(12^2)+(4^2)=160

\sqrt{160}=Large side of a rectangle

(2^2)+(6^2)=40

\sqrt{40}=small side of a rectangle

\sqrt{160} *\sqrt{40} =\sqrt{160*40} =80 area

Step-by-step explanation: 12*4=48/2=24Large triangle area

2*6=12/2=6 small triangle area

Two large triangles=2*24=48

two small triangle=2*6=12

48+12=60

Largerectangle area=14*10=140

140-60=80

3 0
4 years ago
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Mkey [24]

Step-by-step explanation:

Area of the circle=

\frac{\pi {d}^{2} }{4}

3.14•(17)²/4

=226.865in²

Area of the rectangle=length•width

=(8•15)in²

=120in²

Area of the shaded portion=Area of the circle-Area of a rectangle

=(226.865-120)in²

=106.865in²

=106.87in² to the nearest hundredth

6 0
3 years ago
Item 1 Which relationship describes angles 1 and 2? Select each correct answer. Adjacent angles vertical angles complementary an
Usimov [2.4K]

Answer:

What are the relative frequencies, to the nearest hundredth, of the rows of the two-way table?

 A B

Group 1 15 45

Group 2 20 25

 

Drag and drop the values into the boxes to show the relative frequencies.

 

 A B

Group 1  

Group 2  

Step-by-step explanation:

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What do think yall getting for Christmas or tell me what do you want for Christmas?
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Answer:

I want LEGO sets

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