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Ainat [17]
3 years ago
11

60 degrees,60 degrees,4cm Do the following conditions make a unique triangle, more than one triangle or no triangle possible?

Mathematics
1 answer:
babunello [35]3 years ago
5 0

NOT NECESSARILY would a triangle be equilateral if one of its angles is 60 degrees. To be an equilateral triangle (a triangle in which all 3 sides have the same length), all 3 angles of the triangle would have to be 60°-angles; however, the triangle could be a 30°-60°-90° right triangle in which the side opposite the 30 degree angle is one-half as long as the hypotenuse, and the length of the side opposite the 60 degree angle is √3/2 as long as the hypotenuse. Another of possibly many examples would be a triangle with angles of 60°, 40°, and 80° which has opposite sides of lengths 2, 1.4845 (rounded to 4 decimal places), and 2.2743 (rounded to 4 decimal places), respectively, the last two of which were determined by using the Law of Sines: "In any triangle ABC, having sides of length a, b, and c, the following relationships are true: a/sin A = b/sin B = c/sin C."¹

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Which Question Has roots of x= -2 and x
vazorg [7]

See explanation below.

Explanation:

The 'difference between roots and factors of an equation' is not a straightforward question. Let's define both to establish the link between the two..

Assume we have some function of a single variable

x

;

we'll call this

f

(

x

)

Then we can form an equation:

f

(

x

)

=

0

Then the "roots" of this equation are all the values of

x

that satisfy that equation. Remember that these values may be real and/or imaginary.

Now, up to this point we have not assumed anything about

f

x

)

. To consider factors, we now need to assume that

f

(

x

)

=

g

(

x

)

⋅

h

(

x

)

.

That is that

f

(

x

)

factorises into some functions

g

(

x

)

×

h

(

x

)

If we recall our equation:

f

(

x

)

=

0

Then we can now say that either

g

(

x

)

=

0

or

h

(

x

)

=

0

.. and thus show the link between the roots and factors of an equation.

[NB: A simple example of these general principles would be where

f

(

x

)

is a quadratic function that factorises into two linear factors.

4 0
3 years ago
Multiply (2x + 8)^2.
pantera1 [17]
If the ^ is a divided sign then 5x if it’s a multiplication sign 20x! Don’t forget Order of operations.
7 0
3 years ago
Please help the questions are in the picture above
svp [43]

Not sure if I'm right but I think it's 3(x - 6) (x^2 + 5x)

Step-by-step explanation:

3x^3 - 3x^2 - 90x

Apply GCF: 3 (x^3 - x^2 - 30)

Split 30 into -6 and 5

(x^3 - 6x^2) (5x^2 - 30x)

GCF of both: x^2 (x - 6) and 5x (x - 6)

DON'T FORGET TO CARRY THE 3

And your answer is 3 (x - 6) (x^2 + 5x)

5 0
3 years ago
Find the inverse function of h(x) = - 2/3x + 6.
sergij07 [2.7K]
To find the inverse function, interchange the variables and solve for y.
h^-1 (x) = -9 - 3x/2
8 0
3 years ago
Read 2 more answers
Plz help im taking a quiz & im stuck 10 points!!!!!!!!!!!!!!!!!!
Delvig [45]

Answer:

Thanks for asking!

Step-by-step explanation:

The answer is D

5 0
3 years ago
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