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Jlenok [28]
3 years ago
15

Using synthetic division, find (2x4 - 3x3 - 20x - 21) = (x - 3).

Mathematics
1 answer:
andreev551 [17]3 years ago
4 0

Answer:

x= -9/11

or alternative form:

x= 0.81

Step-by-step explanation:

2x4-3x3-20x-21=x-3

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4.5 or 1 1/8

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Triangle MNO is an equilateral triangle with sides measuring 16 StartRoot 3 EndRoot units. Triangle M N O is an equilateral tria
Lesechka [4]

Answer:

The correct option is second one i.e 24 units.

Therefore the height of the triangle is

NR=24\ units

Step-by-step explanation:

Given:

An equilateral triangle has all sides equal.

ΔMNO is an Equilateral Triangle with sides measuring,

NM = MO = ON =16\sqrt{3}

NR is perpendicular bisector to MO such that

MR=RO=\dfrac{MO}{2}=\dfrac{16\sqrt{3}}{2}=8\sqrt{3} .NR ⊥ Bisector.

To Find:

Height of the triangle = NR = ?

Solution :

Now we have a right angled triangle NRM at ∠R =90°,

So by applying Pythagoras theorem we get

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

Substituting the values we get

(MN)^{2} = (MR)^{2}+(NR)^{2}\\\\(16\sqrt{3})^{2}=(8\sqrt{3})^{2}+(NR)^{2}\\\\(NR)^{2}=768-192=576\\Square\ rooting\ we\ get\\NR=\sqrt{576}=24\ units

Therefore the height of the triangle is

NR=24\ units

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