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2 years ago

A circle has a center at A (-3,4) and radius of 4 units. What is the equation of the circle? Show work!

Mathematics

1 answer:

Studentka2010 [4]2 years ago

7 0

Answer:

The equation of the circle is (x+3)^2 + (y-4)^2 = 16.

Step-by-step explanation:

The equation of a circle can be calculated if the center and the radius are known. The equation of a circle is given by (x-h)² + (y-k)² = r²

Where (h, k) = center coordinates and r = radius.

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If f(x) = 2/3 x-6, what is the value of f(-9)?

Keith_Richards [23]

Answer:

-12

Step-by-step explanation:

f(-9) = 2/3(-9) + (-6)

f(-9) = -6 + (-6)

4 0

2 years ago

Help me please, it would be great

Nastasia [14]

AB²=5²+5²+5²=25+25+25=75
AB=5√3≈8.7
Answer:AB≈8.7

4 0

2 years ago

Which of the following expressions is equivalent to a3 + b3?

lubasha [3.4K]

ANSWER
${a}^{3} + {b}^{3} = (a + b)( {a}^{2 } - ab + {b}^{2} )$

EXPLANATION

To find the expression that is equivalent to
${a}^{3} + {b}^{3}$
we must first expand
${(a + b)}^{3}$
Then we rearrange to find the required expression.

So let's get started.

${(a + b)}^{3} = (a + b) {(a + b)}^{2}$

We expand the parenthesis on the right hand side to get,

${(a + b)}^{3} = (a + b) ( {a}^{2} + 2ab + {b}^{2} )$

We expand again to obtain,

${(a + b)}^{3} = {a}^{3} + 3 {a}^{2}b + 3a {b}^{2} + {b}^{3}$

Let us group the cubed terms on the right hand side to get,

${(a + b)}^{3} = {a}^{3} + {b}^{3} + 3 {a}^{2}b + 3a {b}^{2}$

${(a + b)}^{3} = {a}^{3} + {b}^{3} + 3ab (a+ b)$

We make the cubed terms the subject,

${(a + b)}^{3} - 3ab (a+ b) = {a}^{3} + {b}^{3}$

We factor to get,

$(a + b)({(a + b)}^{2} - 3ab ) = {a}^{3} + {b}^{3}$

We expand the bracket on the left hand side to get,

$(a + b)( {a}^{2} + 2ab + {b}^{2} - 3ab ) = {a}^{3} + {b}^{3}$

We finally simplify to get,

$(a + b)( {a}^{2} - ab + {b}^{2} ) = {a}^{3} + {b}^{3}$

5 0

2 years ago

Read 2 more answers

Work out 5/8 x 2 please help quick

Fed [463]

5/8 * 2 =

10/8 =

5/4
-------------------

your answer is 5/4

4 0

2 years ago

suppose you are standing on one bank of the river. A tree on the other side of the river is known to be 150ft tall. A line from

Eva8 [605]

You can use trigonometry and the tangent to get:
tan(11°)=150/x
so x=772 ft

3 0

2 years ago