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3 years ago

4|n+8| = 56 please help

1 answer:

3 0

To solve the absolute value equation you first need to get everything not in the absolute value bars to the other side of the equation.

Step 1) Divide by 4
|n+8| = 14

*Remember: when solving absolute value equations, you make what the expression (n+8) is equal to negative and positive. Not the other way around.

Step 2) Make two equations

n+8 = 14
n+8 = -14

Solve and you'll see that n= 6 and -22

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If (-1,4) and (3,-2) are end points of diameter of the circle, then the equation of the circle is

Volgvan

Answer:

If you've more doubts you can ask :)

Step-by-step explanation:

If the centre of a circle is (a, b) and radius r, then the equation of the circle is :

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

First we will find the centre, (a , b):

$a = \frac{3+(-1)}{2} = \frac{2}{2} = 1\\\\b = \frac{-2 + 4}{2} = \frac{2}{2} = 1$

Find radius:

$Radius, r = \frac{Diameter}{2}$

Diameter is the distance between (-1, 4) and (3, -2)

$diameter = \sqrt{(x_2 - x_1)^2 +(y_2-y_1)^2} \\\\$

$= \sqrt{(3-(-1)^2 + (-2-4)^2} \\\\=\sqrt{16 + 36}\\\\=\sqrt{52}\\\\=\sqrt{4 \times 13}\\\\=2\sqrt{13} \ units$

Therefore , $r = \frac{2 \times \sqrt{13} }{2} = \sqrt{13} \ units$

Equation of the circle is :

$(x - 1)^2 +(y-1)^2 = 13$

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3 years ago

Brent went for a bicycle ride. The clocks show his start time and his

Dominik [7]

Answer:

He rode his bicycle for 40minutes

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2 years ago

Read 2 more answers

My math teacher told me that circumstance was pie I dont know what pie is ;(

agasfer [191]

Answer:

Pie= 3.14

Step-by-step explanation:

The enclosing boundary of a curved geometric figure, especially a circle.The circumference = π x the diameter of the circle (Pi multiplied by the diameter of the circle). Simply divide the circumference by π and you will have the length of the diameter. The diameter is just the radius times two, so divide the diameter by two and you will have the radius of the circle!

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3 years ago

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If A=(0,0) and B=(8,2), what is the length of AB

NeX [460]

Answer:

$\boxed{\sf Distance_{AB}= 8.24 \ units }$

Step-by-step explanation:

Here two points are given to us and we need to find the distance between the two points . The given points are , A(0,0) and B(8,2) . The distance between the two points can be found out using the Distance Formula , which is ,

Distance Formula:-

$\sf\implies \green{ Distance =\sqrt{ (x_2-x_1)^2+(y_2-y_1)^2}}$

Therefore on substituting the respective values ,we can find the Distance as ,

$\sf\longrightarrow Distance = \sqrt{ ( 0 - 8)^2 + (0-2)^2}$

Simplify the brackets ,

$\sf\longrightarrow Distance =\sqrt{ (-8)^2+(-2)^2}$

Square the numbers inside the squareroot ,

$\sf\longrightarrow Distance =\sqrt{ 64 + 4}$

Add the numbers inside the squareroot ,

$\sf\longrightarrow Distance = \sqrt{68}$

Find the value of squareroot,

$\sf\longrightarrow \boxed{\blue{\sf Distance = 8.24 \ units }}$

Hence the distance between the two points is 8.24 units .

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