Part A: Which of the following is the MOST reasonable equation for the line of best fit?

A : y = 3/4x + 8
B : y = -3/4x + 8
C : y = x + 8
D : y = 3/4x - 8

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:

1. No

2. No

3. Yes

4. Yes

Step-by-step explanation:

Any time you multiply/divide both sides with a negative the inequality will be reversed!

Answer:

c and d

Step-by-step explanation:

Answer:

The daily cost is $99.39.

Step-by-step explanation:

In order to find the answer with the information provided, you have to divide the price given for 3 nights by the number of nights to determine the price per night which would be her daily cost:

$298.17/3=$99.39

According to this, the answer is that the daily cost is $99.39.

Answer:

75

Step-by-step explanation:

Answer:

75 People attended the basket ball game.

Step-by-step explanation:

If you multiply your percent by your total number you get the answer

0.30 x 250 = 75

Answer:

6000 is the answer lol I know it is cause I am in math

Answer:

4ms-²

Step-by-step explanation:

Applied Force=100N

Mass of the object=25Kg

Let the acceleration be 'a'.

Force=Mass*Acceleration

100=25*a

100/25=a

4=a

Answer:

40 cm

Step-by-step explanation:

Perimeter of a square = 4a

=4 ( 10 )

=40cm

Have a nice day!

Answer:

Cosine graph

Step-by-step explanation:

Mark as brainliest

Answer:

3

Step-by-step explanation:

im in 8th grade this is what were doing right now

Answer:

Set up the composite result function.

g(F(x)) Evaluate g(x2−7x+14)

by substituting in the value of F into g.

g(x2−7x+14)=4(x2−7x+14)−9

Simplify each term.

g(x2−7x+14)=4x2−28x+56−9

Subtract 9 from 56.

g(x2−7x+14)=4x2−28x+47

Step-by-step explanation:

Answer:

1 hour

Step-by-step explanation:

c= 20d

here, c=$20

$20=20d

or, d= 1 hr

Answer:

A. 6

Step-by-step explanation:

Petals Plus = 33.05x + 64

Blooms = 26.04x + 105

Equate

33.05x + 64 = 26.04x + 105

33.05x - 26.04x = 105 - 64

7.01x = 41

x = 41 / 7.01

x = 5.85

She should purchase 6 arrangements from Blooms in order to get a better value

Check:

Petals Plus = 33.05x + 64

= 33.05(6) + 64

= 198.3 + 64

= 262.3

Blooms = 26.04x + 105

= 26.04(6) + 105

= 156.25 + 105

= 261.24

Petals Plus = 33.05x + 64

= 33.05(4) + 64

= 132.2 + 64

= 196.2

Blooms = 26.04x + 105

= 26.04(4) + 105

= 104.16 + 105

= 209.16

Answer: 8

Step-by-step explanation:

The two parallel bars mean absolute value meaning the positive value of that number. The positive value of -8 is 8. Note that positive number in an absolute value bars reamin the same.

More examples: |9|=9

Have a nice day! :D

Answer:

x=9

Step-by-step explanation:

Answer: 105

Step-by-step explanation:

Im not sure what shape that this but I think its a volume problem,

Find the height, length, And the With of the shape,

Height=5

Length=7

With=3

5x7x3=105

Answer:

VT = 37.8 ft

Step-by-step explanation:

Here, we want to get the measure of VT

We need the diagram of the triangle here

We can get this in the attachment

From the diagram, we have it that the hypotenuse is the length UT since it faces the right angle

VT does not face the given angle , nor the right angle; this mean VT is the adjacent

Mathematically, the trigonometric ratio that connects the adjacent to the hypotenuse is the cosine

Thus;

cos 66 = VT/UT

cos 66 = VT/93

VT = 93 * cos 66

VT = 37.83

To the nearest tenth of a foot, VT = 37.8 ft

Answer:

x = 74 degrees

Hope that helps

Answer:

74

Step-by-step explanation:

2x+32=180

2x=148

x=74

Answer:

Check pdf

Step-by-step explanation:

Answer:

43

Step-by-step explanation:

18+10=28 10+5=15 15+28=43

Answer:

r= 10

Step-by-step explanation:

Answer: A or D

Step-by-step explanation:

Look, I’m sorry but I couldn’t find the number of days so your choices are ether A or D. 800 x 3.125 = 2500. I multiply 3.125 and 1.5 but got 4.6875

Answer:

Order of Operations

Step-by-step explanation:

Answer: lagairthims

Step-by-step explanation: odessey

Answer:

whats the question

Step-by-step explanation:

Answer:

i believe function !

Step-by-step explanation:

cuz im smart

Answer:

No

Step-by-step explanation:

The tables shows two inputs that are the same value which is not possible in a function

Answer:

Step-by-step explanation:

x² - 7x - 30 = 0

x² + 3x - 10x - 30 = 0

x ( x + 3 ) - 10 ( x + 3 ) = 0

( x - 10 ) ( x + 3 )

x = 10 , -3

Answer:

-3 and 10

Step-by-step explanation:

[tex]f(x)=x^2-7x-30[/tex]

1) Factor the equation

First, find two factors of -30 which has a sum of -7.

⇒ These two factors are 3 and -10.

Then, write the equation as a product of two binomials.

[tex]f(x)=(x+3)(x-10)[/tex]

2) Find the zeros

The zero product property states that any value, when multiplied by 0 will equal 0. Therefore, in this equation, either x+3 or x-10 must equal 0 for the function to equal 0:

x+3=0

x=-3

or

x-10=0

x=10

Therefore, the zeros of the function are -3 and 10.

I hope this helps!

Answer:

B: y >= 2

   y < x

Step-by-step explanation:

The system of equations is the equations of the two line

The flat line is constant (doesn't increase or decrease) and has a y-intercept at two, so the equation for it is y = 2. Notice the shaded region is above the line, and it is not a dotted line so it is y >= 2.

The second line has a y-intercept at 0 and seems to have a slope of 1, so the equation for it is y = x. Notice the shaded region is below the line, and it is a dotted line so it is y < x.

Answer:

x = 20°

Step-by-step explanation:

Consecutive angles of a parallelogram are supplementary.

x + 160 = 180

x = 20°