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2 years ago

6. A(n) ______ must contain an equals sign. Fill in the blank

Mathematics

1 answer:

Kamila [148]2 years ago

4 0

Answer:

equation

Step-by-step explanation:

equations must have equal signs.

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Which equation represents the circle described?

faust18 [17]

ANSWER

${(x - 4)}^{2} + {(y - 3)}^{2} = {2}^{2}$

EXPLANATION

The equation of the circle with radius r and centre (a,b) is given by

$(x - a)^{2} + {(x - b)}^{2} = {r}^{2}$

The radius is

$r = 2$

We need to determine the center of the circle from the given equation of another circle, which is,

${x}^{2} + {y}^{2} - 8x - 6y + 24 = 0$

We complete the square to obtain,

${x}^{2} - 8x+ {y}^{2} - 6y + 24 = 0$

${x}^{2} - 8x+ {y}^{2} - 6y = - 24$
${x}^{2} - 8x+ {( - 4)}^{2} + {y}^{2} - 6y + {( - 3)}^{2} = - 24 + {( - 3)}^{2} + {( - 4)}^{2}$

${(x - 4)}^{2} + {(y - 3)}^{2} = - 24 + 9+ 16$

${(x - 4)}^{2} + {(y - 3)}^{2} = 1$

The centre of this circle is (4,3)

Hence the center of the circle whose equation we want to find is also (4,3).

With this center and radius 2, the required equation is,

${(x - 4)}^{2} + {(y - 3)}^{2} = {2}^{2}$

Therefore the correct answer is C.

3 0

3 years ago

Read 2 more answers

PLEASE HELP. I know how to do these but I'm stuck on this one.

Nezavi [6.7K]

Steve ran 11 miles

let the distance Steve ran be x

Then distance Kevin ran is x + 4 ( 4 miles more than Steve )

x + x + 4 = 26 ( the sum of their distance is 26 )

2x + 4 = 26 ( subtract 4 from both sides )

2x = 22 ( divide both sides by 2 )

x = 11

Steve ran 11 mies and Kevin ran 11 + 4 = 15 miles

check 11 + 15 = 26

5 0

3 years ago

Josephine has a rectangular garden with an area of 2x2 + x – 6 square feet. A rectangle labeled 2 x squared + x minus 6 Which ex

GalinKa [24]

Answer:

2x^2 + x - 6 = rectangular garden: length = 2x – 3 feet; width = x + 2 feet

Step-by-step explanation:

(2x - 3)(x + 2) = 2x^2 + x - 6 =

2x^2 + 4x - 3x - 6 = 2x^2 + x - 6 =

2x^2 + x - 6

You get the original equation from the two sides multiplied. :)

Hope this helps, have a good day.

7 0

2 years ago

Read 2 more answers

Consider the function f(x)=8-3x^2 find the value of f(x) when x= 3

scoray [572]

You start with f(x)=8-3(3)². Then, going in order of PEMDAS, you start with your exponent. So you have f(x)=8-3(9). Then multiplication, f(x)=8-27. Then your subtraction. f(x)=-19

5 0

3 years ago

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What is the equation of the line that passes through the points given in the table

Zepler [3.9K]

Answer:

B: y = -2x + 5

Step-by-step explanation:

-2 - 1 = -3

9 - 3 = 6

$\frac{6}{-3}$ = -2

gradient = -2

3 = 1 x -2 + c

3 = -2 + c

5 = c

y intercept = 5

equation = y = -2x + 5

so the answer is option b

7 0

3 years ago