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3 years ago

6

Write the prime factorization of 6. Use exponents when appropriate and order the factors from least to greatest (for example, 2²

*3*5).

1 answer:

Gala2k [10]3 years ago

6 0

Answer:

prime factorization of 6: 2x3

Step-by-step explanation:

to find the prime factorization of any number Step 1: Start by dividing the number by the first prime number 2 and continue dividing by 2 until you get a decimal or remainder. Then divide by 3, 5, 7, etc. until the only numbers left are prime numbers. Step 2: Write the number as a product of prime numbers.

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Identify the center and radius from the equation of the circle given below. x^2+y^2+121-20y=-10x

Tcecarenko [31]

Answer:

Center: (-5,10)

Radius: 2

Step-by-step explanation:

The equation of the circle in center-radius form is:

$(x-h)^2+(y-k)^2=r^2$

Where the point (h,k) is the center of the circle and "r" is the radius.

Subtract 121 from both sides of the equation:

$x^2+y^2+121-20y-121=-10x-121\\x^2+y^2-20y=-10x-121$

Add 10x to both sides:

$x^2+y^2-20y+10x=-10x-121+10x\\x^2+y^2-20y+10x=-121$

Make two groups for variable "x" and variable "y":

$(x^2+10x)+(y^2-20y)=-121$

Complete the square:

Add $(\frac{10}{2})^2=5^2$ inside the parentheses of "x".

Add $(\frac{20}{2})^2=10^2$ inside the parentheses of "y".

Add $5^2$ and $10^2$ to the right side of the equation.

Then:

$(x^2+10x+5^2)+(y^2-20y+10^2)=-121+5^2+10^2\\(x^2+10x+5^2)+(y^2-20y+10^2)=4$

Rewriting, you get that the equation of the circle in center-radius form is:

$(x+5)^2+(y-10)^2=2^2$

You can observe that the radius of the circle is:

$r=2$

And the center is:

$(h,k)=(-5,10)$

6 0

3 years ago

Read 2 more answers

Math Help Please

elena55 [62]

1) In order to solve the equation n/6 = -11.9, you must multiply by 6.

2) $-9m = -45 \\ \\ m = \frac{-45}{-9} \\ \\ m = \frac{45}{9} \\ \\ m = 5 \\ \\ Answer: \fbox {m = 5}$

3) $-14 = \frac{u}{8} \\ \\ -14 \times 8 = u \\ \\ -112 = u \\ \\ u = -112 \\ \\ Answer: \fbox {u = -112}$

4) $-117 = -9h \\ \\ \frac{-117}{-9} = h \\ \\ \frac{117}{9} = h \\ \\ 13 = h \\ \\ h = 13 \\ \\ Answer: \fbox {h = 13}$

5) $\frac{q}{19} = 5 \\ \\ q = 5 \times 19 \\ \\ q = 95 \\ \\ Answer: \fbox {q = 95}$

3 0

3 years ago

Explain how the commutative property of addition,the Associative property of addition and mental math can help you find 75.2+(57

4vir4ik [10]

Answer: The sum of 75.2+(57.376+24.8) is 157.376.

Explanation:

The commutative property of addition states that,

$a+b=b+a$

The associative property of addition states that,

$a+(b+c)=(a+b)+a$

The given expression is 75.2+(57.376+24.8).

First use commutative property of addition in the parenthesis.

$75.2+(57.376+24.8)=75.2+(24.8+57.376)$

Now use associative property of addition.

$75.2+(24.8+57.376)=(75.2+24.8)+57.376$

Now simplify the expression,

$(75.2+24.8)+57.376=100+57.376$

$(75.2+24.8)+57.376=157.376$

Therefore, the sum of 75.2+(57.376+24.8) is 157.376.

7 0

3 years ago

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Example of how is the quadratic equation used in nursing?

Mumz [18]

Answer:

Nurses use this to calculate dosage needed for patients, calculating drip rates and conversion between systems.

Step-by-step explanation:

3 0

3 years ago

Geometry:Finish the coordinate rule to describe the transformation in the image.

stira [4]

It looks like a reflection over the y-axis. There's a formula you can use when doing reflections over the y-axis, (x,y) is going to become (-x, y) thats also the coordinate rule I think.

If you apply that rule to each point you should get the reflected image.

G- (1, 3) then (-x,y) to get (-1,3)

E- (1, 2) then (-x,y) to get (-1, 2)

V- (5, 1) then (-x,y) to get (-5, 1)

X- (3, 3) then (-x,y) to get (-3, 3)

6 0

3 years ago

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