Write an equation of the circle given its center and radius

Help and if you actually answer I'll give you brainliest

schepotkina [342]

Answer:

1) 2/3

2) 1/2

3) 4/5

4) 3/4

Step-by-step explanation:

4/6 can be divided by 2 to get 2/3 in its simplest

2/4 can be divided by 2 to get 1/2 in its simplest

12/15 can be divided by 3 to get 4/5 in its simplest

6/8 can be divided by 2 to get 3/4 in its simplest

6 0

3 years ago

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Find the distance and midpoint for the following coordinates. P(7.6 , 10.1) and Q(4.6 , 3.1)

KATRIN_1 [288]

Solving for the midpoint:

x - coordinate: (7.6 + 4.6)/2 = 6.1
y - coordinate: (10.1 + 3.1)/2 = 6.6

Midpoint: (6.1 , 6.6)

Solving for the distance:

Distance formula: sqrt( (x2 - x1)^2 + (y2 - y1)^2 )

D = sqrt( (7.6 - 4.6)^2 + (10.1 - 3.1)^2 )
D = sqrt( 3^2 + 7^2)
D = sqrt(58)
D = 7.62 units

Distance = 7.62 units

8 0

3 years ago

Which expression is equivalent to StartFraction (3 m Superscript negative 2 Baseline n) Superscript negative 3 Baseline Over 6 m

Dovator [93]

Option a: $\frac{m^{5} }{162n}$ is the equivalent expression.

Explanation:

The expression is $\frac{(3m^{-2} n)^{-3}}{6mn^{-2} }$ where $m\neq 0, n\neq 0$

Let us simplify the expression, to determine which expression is equivalent from the four options.

Multiplying the powers, we get,

$\frac{3^{-3}m^{6} n^{-3}}{6mn^{-2} }$

Cancelling the like terms, we have,

$\frac{3^{-3}m^{5} n^{-1}}{6 }$

This equation can also be written as,

$\frac{m^{5}}{3^{3}6 n^{1} }$

Multiplying the terms in denominator, we have,

$\frac{m^{5} }{162n}$

Thus, the expression which is equivalent to $\frac{(3m^{-2} n)^{-3}}{6mn^{-2} }$ is $\frac{m^{5} }{162n}$

Hence, Option a is the correct answer.

8 0

3 years ago

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13 = m/4 + 7 can you show work too

lukranit [14]

The correct value of this equation is m = 24

<h3>Resolution method</h3>

This equation contains a fractional term. We note that the denominator of this equation is the term 4. Therefore, we will multiply the sides by 4:

13 = m/4 + 7

13 . 4 = 4(m/4) + 7 . 4

52 = m + 28

Now, let's isolate the variable "as negative" and after the equality - we'll be subtracting the terms:

52 = m + 28

-m = 28 - 58

-m = -24

m = 24

Therefore, the correct value of this equation will be m = 24

7 0

2 years ago

HELP ME PLEASE I NEED HELP

Olin [163]

Step-by-step explanation:

You should prolly subtract 2 from both sides first.

So you get, -|2/5x + 3| > -1 2/5

Add three to both sides
-|2/5x| = -1 2/5
Do -1 and 2/5 divided by 2/5 to get -3.5, x > -3.5

One of the answers is x > -3.5 but you need to switch the sign to less than and make the other side the opposite.

$-( \frac{2}{5}x + 3 ) < 1 \frac{2}{5}$

You see that, switched the sign and made whats on the right side opposite. So now solve for x again but with this new equation. Also, the parentheses are absolute value signs

Subtract 3 from both sides

-|2/5x| < -1 and 3/5

Divide 2/5 from each side to get x < -4

I hope I'm correct, my bad if I'm wrong

6 0

3 years ago

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