Solve the quadratic equation given below by completing the square.
Round your answer to the nearest hundredth.
If there is more than one solution, separate them with commas.
x^2 - 2x - 12 = 0

Answer:

46?

Step-by-step explanation:

Answer:

x-4 = 7 , x-4 = -7

Step-by-step explanation:

IX - 4l+ 1 = 8

Subtract 1 from each side

IX - 4l = 8-1

IX - 4l = 7

Then separate into two equations, one positive and one negative

x-4 = 7      x-4 = -7

Complete Question:

Alicia is writing the program for a video game. For one part of the game she uses the rule (x,y)->(x-3,y+4) to move points on the screen.

A) what output does the rule give when the input is (-6,0)?

B)What output does the rule give when the input is (3,-4)?

C) Is the rule a function? Explain why it is or why it is not

Answer:

a. The output is (-9,4)

b. The output is (0,0)

c. See Explanation

Step-by-step explanation:

Given

Rule: (x,y)->(x - 3, y + 4)

Solving (a):

Inputs:

[tex]x = -6[/tex]

[tex]y = 0[/tex]

The outputs is as follows;

[tex]x => x - 3[/tex]

[tex]x => -6 - 3[/tex]

[tex]x => -9[/tex]

[tex]y=> y + 4[/tex]

[tex]y=> 0 + 4[/tex]

[tex]y=> 4[/tex]

Hence:

The output is (-9,4)

Solving (b):

Inputs:

[tex]x = 3[/tex]

[tex]y = -4[/tex]

The outputs is as follows;

[tex]x => x - 3[/tex]

[tex]x=>3-3[/tex]

[tex]x = 0[/tex]

[tex]y=> y + 4[/tex]

[tex]y=>-4+4[/tex]

[tex]y=>0[/tex]

Hence:

The output is (0,0)

Solving (c):

The function is a rule and the rule is that:

It shifts the graph left by 3 units and up by 4 units

Answer:

68

Step-by-step explanation:

It just it

Answer:

68°F

Step-by-step explanation:

55 degrees minus -13 degrees is 68, the difference is 68 degrees Farenheit.

srry I meant 68

Answer:2^9

Step-by-step explanation:

The student multiplied the exponents instead of adding the exponents.

Hope this helps.

Answer:

11

Step-by-step explanation:

Answer:

the next 3 are: 11,8,13. hope this helps!

Answer:

2304

Step-by-step explanation:

You should multiply width by length by height

Answer:

B.Economic growth

Step-by-step explanation:

per capita income can't be just improved by making a business successful

stable prices need a good income and that's not a point given in the question

Making business successful doesn't make all the citizens employed. so the most relevant answer is economic growth as grown business in a country provides tax and thus ensures the economic growth

Answer:

The input when the output is 17 is x=6.

Step-by-step explanation:

Functions

Assume the input is called x and the output is the function f(x). Two times the input is 2x. 5 more than that is 2x+5.

Knowing the output of the function is 5 more than 2 times the input, we can write the function as:

f(x)=2x+5

Now find the input x when the output is 17:

17=2x+5

Swap sides of the equation:

2x+5=17

Subtract 5:

2x=17-5=12

Divide by 2:

x=12/6=6

The input when the output is 17 is x=6.

Answer:

1. 1:1500

2. 1500 times

Step-by-step explanation:

1 foot=12 in.

500*12=6000

4:6000=1:1500

Answer:

16

Step-by-step explanation:

i got it right on the test

Answer:

16...

hope, it helps! x

Answer:

17 messages.

Step-by-step explanation:

Divide 140 by 7 to get 20.

This means it costs 1 dollar for 20 messages.

And therefore 17 messages for 85c.

Answer:

( 4 , − 2 )

Step-by-step explanation:

Answer:

where is the figure

Step-by-step explanation:

Answer:

a) x = 60

b) b = 110

Step-by-step explanation:

A)

2x and 120 are vertical angles.

vertical angles are equivalent.

2x = 120

divide both sides of the equation by 2

2x/2 = 120/2

x = 120/2

x = 60

B)

b + 20 and 130 are on the same side of the line

(I forgot what the math term is, but they're also equal)

b + 20 = 130

subtract 20 from both sides of the equation

b + 20 - 20 = 130 - 20

b = 130 - 20

b = 110

Given :

A bucket is filled with 1 3/4 gallons of water.

The bucket has a small hole and 1/4 gallon leaks out every hour.

To Find :

How many hours will it take for the bucket to be completely empty.

Solution :

We know , mixed fraction of form a p/q is given by :

[tex]a\ p/q = \dfrac{(a\times q)+p}{q}[/tex]

So, 1 3/4 = 7/4 .

Let, after t hours bucket is empty.

[tex]\dfrac{7}{4}-\dfrac{1}{4}t = 0\\\\t = 7\ hour[/tex]

Therefore, it takes 7 hours for the bucket to be completely empty.

Hence, this is the required solution.

Answer:

[tex]Total = 38\frac{11}{12}\ miles[/tex]

Step-by-step explanation:

Given

[tex]First\ Route = 12\frac{2}{3}\ miles[/tex]

[tex]Second\ Route = 10\frac{3}{4}\ miles[/tex]

[tex]Third\ Route = 15\frac{1}{2}\ miles[/tex]

Required

Determine the total miles

[tex]Total = First\ Route + Second\ Route + Third\ Route[/tex]

[tex]Total = 12\frac{2}{3} + 10\frac{3}{4} + 15\frac{1}{2}[/tex]

Convert to improper fractions

[tex]Total = \frac{38}{3} + \frac{43}{4} + \frac{31}{2}[/tex]

Take LCM

[tex]Total = \frac{152 + 129 + 186}{12}[/tex]

[tex]Total = \frac{467}{12}[/tex]

[tex]Total = 38\frac{11}{12}\ miles[/tex]

Answer:

It would be rotation what do u mean by congruent statement? Angles? B is congruent to D A IS CONGRUENT TO e

Step-by-step explanation:

Answer:

2 (3 y - 4) <- Complete answer, but since you only have those choices it's

6 y - 8

Step-by-step explanation:

Simplify the following:

8 y - 2 (y + 4)

Hint: | Distribute -2 over y + 4.

-2 (y + 4) = -2 y - 8:

8 y + -2 y - 8

Hint: | Group like terms in 8 y - 2 y - 8.

Grouping like terms, 8 y - 2 y - 8 = (8 y - 2 y) - 8:

(8 y - 2 y) - 8

Hint: | Combine like terms in 8 y - 2 y.

8 y - 2 y = 6 y:

6 y - 8

Hint: | Factor out the greatest common divisor of the coefficients of 6 y - 8.

Factor 2 out of 6 y - 8:

Answer: 2 (3 y - 4)

Answer:

Its D if you think about it

Step-by-step explanation:in your mind move the triangle on the top right down 6 units and then turn your triangle 90 degrees counter clockwise (quick maths)

The only transformation that will move the triangle in quadrant 1 onto the similar triangle in quadrant three is;

Option D; translation 6 units down and rotation 90° counterclockwise

The y-coordinate of the right angle vertex of the triangle in quadrant 1 is y = -2. Meanwhile the y-coordinate of the same right angle point of the triangle in quadrant 3 is y = -4.

Thus, for the triangle in quadrant 1 to be on the same level with that in quadrant 3, we need to translate the triangle in quadrant 1 downwards by 6 units.

Now, since we want to map this newly translated triangle to the one in quadrant 3 and as such we need to rotate it 90° counterclockwise

Read more at; https://brainly.com/question/18308401

Answer:

8/17

Step-by-step explanation:

Please make me the Brainliest, please and thank you.

Answer: 17/8

Im not sure of this sorry

Answer:

121

Step-by-step explanation:

11 x 11

this is what goes on in my head you don't have to this but this is what i do

10 x 10 = 100

10 x 1 = 10

1 x 10 = 10

1 x 1 = 1

100 + 10 + 10 + 1 = 121

The product of the numbers 11 with 11 is 121.

Given are the numbers 11 and 11.

We have to find the product of these numbers.

This can be found in various ways.

We can study the perfect squares from 1 to 20 to know it fast.

Else you can use normal multiplication.

Or another method is,

Split both 11 as 10 and 1 and then find the product with each.

10 × 10 = 100

Then find 10 with 1.

10 × 1 = 10

Then find 1 with 10.

1 × 10 = 10

Then find 1 with 1.

1 × 1 = 1

Total is 100 + 10 + 10 + 1 = 121

Hence the number is 121.

Learn more about Multiplication here :

https://brainly.com/question/14667283

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Answer:

x = [tex]\frac{k+9}{y}[/tex]

Step-by-step explanation:

Given

xy - 9 = k ( add 9 to both sides )

xy = k + 9 ( isolate x by dividing both sides by y )

x = [tex]\frac{k+9}{y}[/tex]

Answer:

0.875 or 7/8

Step-by-step explanation:

I put it in a calculator

Answer:

the answer is 7/8

Step-by-step explanation:

7/3 ×3/8 =7/8

Answer:

they are a linear pair

Step-by-step explanation:

they each add up to 180º when added together