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2 years ago

HELP!!!what is the measure of the major arc?

Mathematics

2 answers:

steposvetlana [31]2 years ago

5 0

Answer:

Step-by-step explanation:

the measure of the major arc = 2πr * n/360

= 2*3.142* 7 * 135/360

=43.988 * 0.375

= 16.4955

Pavel [41]2 years ago

4 0

Answer:

Step-by-step explanation:

Measure of major arc=360°-135° (since one circle adds up to 360)

Major arc=225°

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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:

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

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

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

4 0

2 years ago

How can you quickly determine the number of roots a polynomial will have by looking at the equation?

Goryan [66]

First, you need to get delta which is b squared minus 4ac. If delta is higher than cero, the polynomial has two solutions, if it is less, the polynomial has no real solutions and if it is the same, it has one solution.
Although that is only for second grade ecuations

7 0

3 years ago

Read 2 more answers

Sorry I’m getting confused here- What’s 3/4-1? In FRACTION form. I only know decimal form.

leva [86]

Answer:

-1/4

Step-by-step explanation:

if you convert 3/4 to decimals it would be 0.75. and 0.75 - 1.00 = 0.25. -0.25 is equal to -1/4.

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3 years ago

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