The 7th grade class participated in the following
fitness challenges. If there are 250 students total,
how many participated in weight lifting?

Hey there,

Put the equation into the circle equation [ (x - h)² + (y - k)² = r² ].

x² + y² + 4x + 8y = -11

(x² + 4x) + (y² + 8y) = -11

(x + 2)² + (y + 4)² = 9

If that is confusing, you can always rewrite it to show exactly what you need in the circle equation.

(x - (-2))² + (y - (-4))² = 3²

Therefore, using the circle equation we can see that the center is at the point (-2, -4) and the radius is 3.

Best of Luck!

Answer:

[tex] \displaystyle \text{centre} :( - 2, - 4)[/tex]

[tex] \text{redius} : 3[/tex]

Step-by-step explanation:

we are given a circle equation

[tex] \rm \displaystyle {x}^{2} + {y}^{2} + 4x + 8y + 11 = 0[/tex]

we want to figure out the centre and the redious of the circle from the equation notice that the given circle equation is in general form given by

[tex] \rm \displaystyle {x}^{2} + {y}^{2} +A x +B y +C = 0[/tex]

general form of circle equation is a simplified version of standard form. the standard form of circle equation is given by:

[tex] \displaystyle (x - h {)}^{2} + (x - k {)}^{2} = {r}^{2} [/tex]

where:

notice that the there're two completed squares in the standard form therefore we can consider completing square to figure out the centre and the redious

indentifying centre and redious:

rearrange:

[tex] \rm \displaystyle ( {x}^{2} + 4x ) +( {y}^{2} + 8y) + 11 = 0[/tex]

cancel 11 from both sides:

[tex] \rm \displaystyle ( {x}^{2} + 4x ) +( {y}^{2} + 8y) = - 11[/tex]

add 4 to the both sides so that the equality don't affect:

[tex] \rm \displaystyle ( {x}^{2} + 4x + 4) +( {y}^{2} + 8y) = -11 + 4[/tex]

simplify addition:

[tex] \rm \displaystyle ( {x}^{2} + 4x + 4) +( {y}^{2} + 8y) = - 7[/tex]

once again to complete the square add 16 to both sides which yields:

[tex] \rm \displaystyle ( {x}^{2} + 4x + 4) +( {y}^{2} + 8y + 16) = 9[/tex]

complete the squares by using (a+b)²=a²+2ab+b² pattern:

[tex] \rm \displaystyle ( {x}+ 2) ^{2} +( {y} + 4) ^{2} = 9[/tex]

we can still rewrite it to figure out the redious and the centre:

[tex] \rm \displaystyle ( {x} - ( - 2)) ^{2} +( {y} -( - 4) ) ^{2} = {3}^{2} [/tex]

therefore we obtain:

and we are done!

Answer:

2a

Step-by-step explanation:

-a + a = 0, 0 + a = a. Therefore -a + 2a = a

Answer:

B is the correct answer I believe..

Step-by-step explanation:

Answer: I strongly believe it is B

Step-by-step explanation:

Answer:

14.50

Step-by-step explanation:

Answer:

43

Step-by-step explanation:

g(x)=4x+3

plug in 10

g(10)= 4(10)+3

      = 40+3

      = 43

Answer:

Sorry I just needed points

Step-by-step explanation:

Answer:

Step-by-step explanation:

Negative sign is outside the parenthesis. So, each term of (4k² - 13k -12) should be multiplied by (-1)

-(4k² - 13k -12) + 5k² - 8k = 4k²*(-1) - 13k*(-1) - 12*(-1) + 5k² - 8k

                                        = -4k² + 13k + 12 +5k² - 8k

Combine like terms,

                                        = -4k² + 5k² + 13k - 8k + 12

                                       = k² + 5k + 12

Like terms are the terms with same variable with same exponent.

(-4k² ) and 5k² are like terms

13k and (-8k) are like terms

Answer:

4

Squiggles

Step-by-step explanation:

steps

1 feet = 12 inches

2 feet = 2 x 12 = 24 inches

length of squiggles = 24 + 10 = 34 inches

squiggles is longer because 34 is greater than 30

difference = 34 - 30 = 4

Answer:

9x+6

Step-by-step explanation:

Answer:

C, you can use rotations to describe a change in the position of a figure.

Answer:

=2m/y+m/y

= 2m+m/y

=3m/y

Answer:

am gonna need more imformation

Step-by-step explanation:

Answer:

Volume = 100 [tex]in^{3}[/tex]

Step-by-step explanation:

Volume, V= Bh

length = 10 inches

width = 5 inches

height = 2 inches

So that,

B = 5(10)

  = 50 [tex]in^{2}[/tex]

B = 50 [tex]in^{2}[/tex]

Then,

V = (50)(2)

  = 100

v = 100 [tex]in^{3}[/tex]

Answer:

arc RS = 116°

Step-by-step explanation:

Since the 2 chords are congruent then their minor arcs are congruent, that is

SR = TU, substitute values

6x - 28 = 4x + 20 ( subtract 4x from both sides )

2x - 28 = 20 ( add 28 to both sides )

2x = 48 ( divide both sides by 2 )

x = 24

Then

arc RS = 6x - 28 = 6(24) - 28 = 144 - 28 = 116°

Answer:

[tex]8*12[/tex]

Step-by-step explanation:

First, the problem asks for an expression; this means that there should be no equal sign. Also, the keyword "product" means that both the terms must be multiplied. So, [tex]8*12[/tex] is the final expression; this equals 96.

Answer:

-35-6=-41

that's the answer

Answer:

Step-by-step explanation:

We need to multiply 0.98 by 2 which is 1.96 now we need to divide 0.98 by two which is 0.49, so add those together and you have 2.45. Hope this helps :)

Answer:

60;40

Step-by-step explanation: 50* 2 = 100

so multiply every thing else by it to  

in simplest form tho itd be 3;2

Answer:

The first one is not liner

Step-by-step explanation:

This isn't linear because the y values increase inequally. It adds 2 and then 3 instead of keeping a constant rate

Answer:

Step-by-step explanation:

The first is 2, the second is 6 and the third is 14.

Answer:

The car is worth $4250 now and it decreased by $750

Step-by-step explanation:

5000* .85 is 4250

x² + 8² = 10²

x² + 64 = 100

x² = 100 - 64

x² = 36

x = 6

Answer: Pythagorean theorem

Step-by-step explanation: cannot see the rectangle but I assume it’s the Pythagorean theorem

The sum of the area of all the rectangles will be 2a + 3a + 4a.

A quadrilateral with parallel sides that are equal to one another and four equal vertices is known as a rectangle.

Given:

The large rectangle has length a and width (2 + 3+ 4)

Area of the rectangle = L×W square units

A = a  (2 + 3+ 4)

A = 2a + 3a + 4a

Therefore, the area of the large rectangle is 2a+3a+4a

To learn more about the rectangular;

brainly.com/question/21416050

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