If using the method of completing the square to solve the quadratic equation
x² – 8x
1= 0, which number would have to be added to "complete the
square"?

Given:

A line passes through the points (-3,3) and (3,5).

To find:

The equation of the line by using point slope form, then rewrite the equation in slope-intercept form.

Solution:

It is given that the line passes through the points (-3,3) and (3,5). So, the slope of the line is:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\dfrac{5-3}{3-(-3)}[/tex]

[tex]m=\dfrac{2}{6}[/tex]

[tex]m=\dfrac{1}{3}[/tex]

The point slope form of a line is:

[tex]y-y_1=m(x-x_1)[/tex]

Where, m is the slope.

The point slope form of the given line is:

[tex]y-3=\dfrac{1}{3}(x-(-3))[/tex]

[tex]y-3=\dfrac{1}{3}(x+3)[/tex]

The point slope form of the given line is [tex]y-3=\dfrac{1}{3}(x+3)[/tex].

We need to rewrite this equation in slope intercept form, i.e.,  [tex]y=mx+b[/tex], where m is slope and b is y-intercept.

The above equation can be rewritten as:

[tex]y-3=\dfrac{1}{3}(x)+\dfrac{1}{3}(3)[/tex]

[tex]y-3=\dfrac{1}{3}(x)+1[/tex]

[tex]y=\dfrac{1}{3}(x)+1+3[/tex]

[tex]y=\dfrac{1}{3}(x)+4[/tex]

Therefore, the slope intercept form of the given line is [tex]y=\dfrac{1}{3}(x)+4[/tex].

Answer:

$20

Step-by-step explanation:

New shoes = $80

What Ellie Saved = $60

80 - 60 = 20

To make sure this is correct simply add 20 to 60.

60 + 20 = 80

Answer:

C = pi d

C = 3.14 × 70

C = 219.8 inches

A = pi r²

A = 3.14 × 1,225

A = 3,846.5

Hi there!

[tex] \large{lim_{x \longrightarrow 3}( - 5 {x}^{2} - 2x + 4)}[/tex]

Simply substitute x = 3 in the expression.

[tex] \large{ - 5 {(3)}^{2} - 2(3) + 4} \\ \large{ - 5(9) - 6 + 4} \\ \large{ - 45 - 6 + 4} \\ \large{ - 47}[/tex]

Questions can be asked through comment.

Furthermore, limit is like substituting a value. Note that limit is about an approaching value. This is a basic limit.

Hope this helps, and Happy Learning! :)

Answer:

it means less than or equal to :)

Step-by-step explanation:

Answer:

C.) -2/5, -5/3

Step-by-step explanation:

Edge. :)

Answer:

vertex = (2, 264)

Step-by-step explanation:

i just used desmos so um yeah im sorry

I think it's either A or B probably B is my guess though, it's weirdly worded so I'm not exactly sure what it's asking

Answer:

1. 1.5 inches

2. 1 inch

3. 1.75 inches

4. 1.25 inches

5. 2 inches

Step-by-step explanation:

im guessing that you're asking what each place is.

[tex]\huge{ \mathbf{  \underline{ Answer }\:  \:  ✓ }}[/tex]

The sand we need to fill the cylinders is equal to the total volume of the six cylindrical posts .

Given terms ( common for each cylinder ) :

[tex] \large \boxed{ \mathrm{volume =\pi {r}^{2} h}}[/tex]

Since volume of each cylinder is equal, so total volume of six cylindrical post :

_____________________________

[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]

a) The probability of selecting a blue marble is P ( B ) = 1/4

b) The probability of selecting a green marble is P ( G ) = 1/6

c) The probability of selecting not a green marble is P' ( G ) = 5/6

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

Probability = number of desirable outcomes / total number of possible outcomes

The value of probability lies between 0 and 1

Given data ,

Let the number of blue marbles = 3

Let the number of red marbles = 6

Let the number of green marbles = 2

Let the number of black marbles = 1

So , the total number of marbles = 12

So , the probability is given as

The probability of selecting a blue marble is P ( B ) = 1/4

The probability of selecting a green marble is P ( G ) = 1/6

The probability of selecting not a green marble is P' ( G ) = 5/6

Hence , the probability is solved

To learn more about probability click :

https://brainly.com/question/17089724

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The complete question is attached below :

There are 3 blue marbles, 6 red marbles, 2 green marbles and 1 black marble in a bag. Suppose you select one marble at random. Find the probability for each of the following.

Answer:

20

Step-by-step explanation:

Answer:

8(r+2)

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

The value of x is 21 .

Step-by-step explanation:

We are given that x varies directly as y

--- A

We are given that x = 7 and y = 28

Substitute the values in A

7 = 28k

Now equations becomes :  

y = 84

Hence The value of x is 21 .

#Learn more:

Find the value of y for a given value of x, if y varies directly with x.

If y = −252 when x = 84, what is y when x = 74

Step-by-step explanation:

Answer:

9.42 m

6.28m

Step-by-step explanation:

to determine the distance walked, calculate the circumference of the circular pool

circumference of a circle = πD

π = 3.14

D = diameter

3 x 3.14 = 9.42 m

Difference in circumference =  π( diameter of bigger circle - diameter of smaller circle)  

diameter of smaller circle = 5 x 2 = 10

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

3.14 x ( 12 - 10) = 6.28

Answer:

To do this question, you need to put the numbers in least to greatest. Greatest to least will not work and will be incorrect.

It will be:

-3, -1, 0, 1, 5, 6, 7, 8, 10, 13

Now you have to cancel each number out from each end.

You will get the numbers:

5, and 6.

You have to find the average of this so:

5 + 6 = 11

11 ÷ 2 = 5.5

So the answer is 5.5.

Answer:

5.5

Step-by-step explanation:

First you would rearrange the numbers from smallest to biggest or vice versa then you cancel out equal number of numbers on both sides until you get to the middle. If it's an even amount of numbers, like 10, then there will be two in the middle instead of one so in that case you would add the two of them and then divide by two.

For example, -3, -1, 0, 1, 5, 6, 7, 8, 10, 13

you would cancel out until you get to the middle which would leave you with 5 and 6 so you add them and divide by two to get 5.5.

Answer:

2x + 20 = -60

-20           -20

2x = -80

Divide by 2 on both sides.

X = -40

Answer:

-40

Step-by-step explanation:

2(x + 10) = -60

step 1 distribute the 2 to the x and 10

2 * x = 2x

2 * 10 = 20

we now have 20 + 2x = -60

step 2 subtract 20 from each side

20 - 20 cancels out

-60 - 20 = -80

we now have 2x = -80

step 3 divide each side by 2

2x / 2 = x

-80 / 2 = -40

we're left with x = -40

Answer:

$3.60

Step-by-step explanation:

8 apples × 150 grams

1200 grams

1 kilogram = 1000 grams

x. = 1200 grams

X = 1.2 kg

1kg = $3.00

1.2kg =$3.6

The cost of 8 apples that have weight 1.2 kilograms is,

⇒ $3.60

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Amy buys eight apples that each weigh 150 grams.

And, She notices that they are on sale for $3.00 per kilogram.

Now,

Total weight of the apples is,

⇒ 8 × 150 grams

⇒ 1200 grams

⇒ 1.2 kilograms

Since, She notices that they are on sale for $3.00 per kilogram.

Hence, The cost of 8 apples that have weight 1.2 kilograms is,

⇒ $3.00 × 1.2

⇒ $3.60

Thus, The cost of 8 apples that have weight 1.2 kilograms is,

⇒ $3.60

Learn more about the multiplication visit:

https://brainly.com/question/10873737

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Answer:

what is the formulae for finding a circle

Answer:

Area of the sector = 47.52π

Step-by-step explanation:

Area of the sector of the circle;

A = ∅ / 360 * πr²

We know that;

∅ = 120

r = 12

So now we can substitute;

A = (120 / 360) * π(12)²

A = 0.33 * 144π

A = 47.52π

Hope this helps!

Answer:

well in order to make a trangle they mus add up to be greater than a side sooo  i guess thats right so..... idek theres calculators online and stuff like that and you can also go on line and search woill this make a triangle calcs and theyll let you p0ut meaasurements and stuff like that to model them for you

Step-by-step explanation:

Answer:

B C D

Step-by-step explanation:

just took the quiz edge 2021

Answer:

The answer is

B

D

F

Step-by-step explanation:

Squaring a fraction is like squaring a whole number really so you just square the fraction by multiplying it by itself.

Answer:

y = 2x

Step-by-step explanation:

x represents the amount of attendees. y is the total amount of money they get.

Answer:

A. Volume is 2400 feet^3

B. 1413.7 feet ^3

C. 3814 feet^3

Step-by-step explanation:

given = a rectangular prism having l=8 feet w=12 feet h=25 feet

to find volume

v = l * w * h

v = 8x12x25

v = 2400 feet^3

Answer:

60

Step-by-step explanation:

First, divide 120 by two and get 60. Now do 120-60 to get 60. Set up proportion

60/x = x/60.

Cross multiply

x^2 = 3600

and now find the square root of 3600

60

Answer:

8x-6=102

Step-by-step explanation:

8x the remaining eggs in 8 different labs and the 6 that are placed in the lab and the total is 102 so 8x-6=102

Answer:

No

Step-by-step explanation:

To determine if the point is a solution to either of the inequalities, substitute the variables with the point given. When y<-3.x+4 is substituted with (0,4), the inequality becomes 4<4, which proves that the point is inapplicable to the first inequality. Therefore, you do not need to continue to check its applicability with the second inequality.