Write the polynomial in standard form. Then name the polynomial based on it's degree and number of terms

Mathematics

1 answer:

Tju [1.3M]2 years ago

7 0

9x^2-12x+6; trinomial and quadratic

I can explain if needed

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Find the missing angle. Show all your work. Pls, answer!

slega [8]

Steps:
(n-2) * 180 = sum of interior angles
(3-2) * 180 = 180

Bottom Triangle
25 + 51 + x = 180
x = 104

Top Triangle
104 + 34 + x = 180
x = 42

Answer:
42

7 0

1 year ago

Which expression is equivalent to the following complex fraction?

I am Lyosha [343]

what a mess?!

please write your question better...

if you don't want the wrong answer

Step-by-step explanation:

what should we do?

4 0

2 years ago

The diameter of a circle has length 12. The center is at*(-5, 2). Give the equation

labwork [276]

Answer:

Equation of the circle is : $x^{2} + 10x + y^{2} -4y -7 =0$

Step-by-step explanation:

Let us consider the image attached in the answer area.

The center O has the co-ordinates i.e. (-5,2) and the diameter given is 12 units.

We know that radius is half of diameter.

$\text{Radius = }\dfrac{\text{Diameter}}{2}$

$\text{Radius = }\dfrac{12}{2}\\\Rightarrow \text{Radius = 6units}$

The equation for circle given the center and radius, can be represented as:

$(x-a)^{2}+ (y-b)^{2} = r^{2}$

Where (a,b) is the co-ordinate of center and r is the radius.

Let us consider the following formula:

$(p+q)^2 = p^{2}+ q^{2} +2pq\\(p-q)^2 = p^{2}+ q^{2} -2pq$

$(x-(-5))^{2}+ (y-2)^{2} = 6^{2}\\\Rightarrow (x+5)^{2}+ (y-2)^{2} = 36\\\Rightarrow x^{2} + 25 + 10x +y^{2} + 4-4y=36\\\Rightarrow x^{2} + 10x +y^{2} -4y-7=0$