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3 years ago

Describe in detail how you would plot the value 3 5/6 on a number line.

Mathematics

1 answer:

Sonja [21]3 years ago

7 0

Answer: Reduce the expression, if possible, by cancelling the common factors.

Step-by-step explanation:

Exact Form: 23 /6

6*3+5= 23, Repeat the numerator. Then 23 /6

Decimal Form: 3.8 3

23 ÷ 6 = 3.8 3

Mixed Number Form:

3 5 /6

I hope this help.

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3 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:

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

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

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

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3 years ago

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3 years ago

Select the correct answer

Tomtit [17]

Answer:

Step-by-step explanation:

The area for a triangle is

$A=\frac{1}{2}bh$

Our base is given as x, the height is given as 1 more than 6 times the base which looks like this: 6x + 1. We know that the area is 13, so filling in everything:

$13=\frac{1}{2} (6x+1)(x)$

We can get rid of the denominator of 2 by multiplying it on both sides to get:

$26=(6x+1)(x)$ and simplifying a bit:

$26=6x^2+x$

Now we can move over the 26 and put the expression into standard quadratic form by setting it equal to 0:

$6x^2+x-26=0$ which is choice C

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2 years ago