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stira [4]
3 years ago
5

Describe the number and type of roots for the polynomial. (how many real and complex?)

Mathematics
1 answer:
DENIUS [597]3 years ago
7 0
This is a cubic equation  so it will have a total of three roots.
there is only one change of sign  so the equation will have one positive real  root.
The other 2 roots  will be negative  and might be real or complex
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3 years ago
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Subtract.
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3 years ago
Find the measures of the numbered angles in the isosceles trapezoid.<br> I need help ASP
Novay_Z [31]

Answer:

  ∠1 = 50°

  ∠2 = ∠3 = 130°

Step-by-step explanation:

In an isosceles trapezoid, such as this one, the angles at either end of a base are congruent:

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  ∠2 ≅ ∠3

The theorems applicable to transversals and parallel lines also apply to the sides joining the parallel bases. In particular, "consecutive interior angles are supplementary." That is, angles 1 and 2 are supplementary, for example.

  ∠2 = 180° -∠1 = 180° -50° = 130°

We already know angle 3 is congruent to this.

  ∠1 = 50°

  ∠2 = ∠3 = 130°

_____

<em>Additional comment</em>

It can be easier to see the congruence of the base angles if you remove the length of the shorter base from both bases. This collapses the figure to an isosceles triangle and makes it obvious that the base angles are congruent.

Alternatively, you can drop an altitude to the longer base from each end of the shorter base. That will create two congruent right triangles at either end of the figure. Those will have congruent corresponding angles.

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\bf h(t)=cot(t)\implies h(t)=\cfrac{cos(t)}{sin(t)}\quad &#10;\begin{cases}&#10;t_1=\frac{\pi }{3}\\&#10;t_2=\frac{3\pi }{2}&#10;\end{cases}\implies \cfrac{h\left( \frac{3\pi }{2} \right)-h\left( \frac{\pi }{3} \right)}{\frac{3\pi }{2}-\frac{\pi }{3}}&#10;\\\\\\

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brian bought a 15-pound bag of concrete. he split the bag into smaller bags that each hold 2 1/2 pounds. how many smaller bags d
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He filled 6 smaller bags
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