What is the value of x in the equation −x = 6 − 3x + 8? (1 point) Question 10 options: 1) −14 2) −7 3) 14 4) 7

Answer:

Step-by-step explanation:

Distance = 6 miles

Time = 3 hours

Speed = Distance ÷ Time

Speed = 6 ÷ 3

Speed = 2 miles/hour

....................................................

Speed = 2 miles/hour

Distance = 7.5 miles

Time = Distance ÷ Speed

Time = 7.5 ÷ 2

Time = 3.75 hours

3.75 hours = 3 hours & 45 minutes

Answer:

Step-by-step explanation:

Time taken to travel 6 miles = 3 hours

Time taken to travel 1 mile = 3 ÷ 6 = [tex]\frac{3}{6}=\frac{1}{2} hour[/tex] = 30 minutes

Time taken to travel 7.5 miles = 30 * 7.5 = 225 minutes = 3.45 hours

Answer:

Radius: [tex]r =\frac{\sqrt {21}}{6}[/tex]

[tex]Center = (-\frac{3}{2}, -\frac{2}{3})[/tex]

Step-by-step explanation:

Given

[tex]9x^2 + 9y^2 + 27x + 12y + 19 = 0[/tex]

Solving (a): The radius of the circle

First, we express the equation as:

[tex](x - h)^2 + (y - k)^2 = r^2[/tex]

Where

[tex]r = radius[/tex]

[tex](h,k) =center[/tex]

So, we have:

[tex]9x^2 + 9y^2 + 27x + 12y + 19 = 0[/tex]

Divide through by 9

[tex]x^2 + y^2 + 3x + \frac{12}{9}y + \frac{19}{9} = 0[/tex]

Rewrite as:

[tex]x^2 + 3x + y^2+ \frac{12}{9}y =- \frac{19}{9}[/tex]

Group the expression into 2

[tex][x^2 + 3x] + [y^2+ \frac{12}{9}y] =- \frac{19}{9}[/tex]

[tex][x^2 + 3x] + [y^2+ \frac{4}{3}y] =- \frac{19}{9}[/tex]

Next, we complete the square on each group.

For [tex][x^2 + 3x][/tex]

1: Divide the [tex]coefficient\ of\ x\ by\ 2[/tex]

2: Take the [tex]square\ of\ the\ division[/tex]

3: Add this [tex]square\ to\ both\ sides\ of\ the\ equation.[/tex]

So, we have:

[tex][x^2 + 3x] + [y^2+ \frac{4}{3}y] =- \frac{19}{9}[/tex]

[tex][x^2 + 3x + (\frac{3}{2})^2] + [y^2+ \frac{4}{3}y] =- \frac{19}{9}+ (\frac{3}{2})^2[/tex]

Factorize

[tex][x + \frac{3}{2}]^2+ [y^2+ \frac{4}{3}y] =- \frac{19}{9}+ (\frac{3}{2})^2[/tex]

Apply the same to y

[tex][x + \frac{3}{2}]^2+ [y^2+ \frac{4}{3}y +(\frac{4}{6})^2 ] =- \frac{19}{9}+ (\frac{3}{2})^2 +(\frac{4}{6})^2[/tex]

[tex][x + \frac{3}{2}]^2+ [y +\frac{4}{6}]^2 =- \frac{19}{9}+ (\frac{3}{2})^2 +(\frac{4}{6})^2[/tex]

[tex][x + \frac{3}{2}]^2+ [y +\frac{4}{6}]^2 =- \frac{19}{9}+ \frac{9}{4} +\frac{16}{36}[/tex]

Add the fractions

[tex][x + \frac{3}{2}]^2+ [y +\frac{4}{6}]^2 =\frac{-19 * 4 + 9 * 9 + 16 * 1}{36}[/tex]

[tex][x + \frac{3}{2}]^2+ [y +\frac{4}{6}]^2 =\frac{21}{36}[/tex]

[tex][x + \frac{3}{2}]^2+ [y +\frac{4}{6}]^2 =\frac{7}{12}[/tex]

[tex][x + \frac{3}{2}]^2+ [y +\frac{2}{3}]^2 =\frac{7}{12}[/tex]

Recall that:

[tex](x - h)^2 + (y - k)^2 = r^2[/tex]

By comparison:

[tex]r^2 =\frac{7}{12}[/tex]

Take square roots of both sides

[tex]r =\sqrt{\frac{7}{12}}[/tex]

Split

[tex]r =\frac{\sqrt 7}{\sqrt 12}[/tex]

Rationalize

[tex]r =\frac{\sqrt 7*\sqrt 12}{\sqrt 12*\sqrt 12}[/tex]

[tex]r =\frac{\sqrt {84}}{12}[/tex]

[tex]r =\frac{\sqrt {4*21}}{12}[/tex]

[tex]r =\frac{2\sqrt {21}}{12}[/tex]

[tex]r =\frac{\sqrt {21}}{6}[/tex]

Solving (b): The center

Recall that:

[tex](x - h)^2 + (y - k)^2 = r^2[/tex]

Where

[tex]r = radius[/tex]

[tex](h,k) =center[/tex]

From:

[tex][x + \frac{3}{2}]^2+ [y +\frac{2}{3}]^2 =\frac{7}{12}[/tex]

[tex]-h = \frac{3}{2}[/tex] and [tex]-k = \frac{2}{3}[/tex]

Solve for h and k

[tex]h = -\frac{3}{2}[/tex] and [tex]k = -\frac{2}{3}[/tex]

Hence, the center is:

[tex]Center = (-\frac{3}{2}, -\frac{2}{3})[/tex]

Answer:32

Step-by-step explanation:

i think the answer will be 32 feet

Answer:

They will be able to.

Step-by-step explanation:

You first want to make sure the first three families have enough to eat.

[tex]6\frac{1}{2} - 2\frac{7}{8} = 3\frac{5}{8}[/tex]

For further explanation look at the first image.

[tex]3\frac{5}{8} > 2\frac{7}{8}[/tex]

Just to make sure

[tex]3\frac{5}{8} - 2\frac{7}{8}=\frac{3}{4}[/tex]

For further explanation look at the second image.

The rest of the images show a model solution.

Answer:

Could you add more info?

Step-by-step explanation:

Answer:

I think 3 hours

Answer:

2/6 in 2 hours

Step-by-step explanation:

Answer:

7 stickers for each kid

Step-by-step explanation:

Answer:

it cost Jacob family $32 and he used 7 $5 bill to pay

Step-by-step explanation:

2 × 7 = 14

3 × 6 = 18

18 + 14 = 32

5x - 32 = 3

5x = 32 + 3

5x = 35

x = 35 ÷ 5

x = 7

Answer:

252

Step-by-step explanation:

Types of main courses available = 9

Types of drinks offered = 7

Types of deserts = 4

Number of different meals consisting of a main course, a drink and a desert offered

Using the combination rule :

9C1 * 7C1 * 4C1

nCr = n! ÷ (n-r)!r!

So using calculator we obtain :

9 * 7 * 4 = 252

Answer: The First Cylinder has more volume

Step-by-step explanation:

1. V = 471.24

2. V = 282.74

Answer:

just multiply by 9 :)

Step-by-step explanation:

Answer:

8 5 7 1 3 2 4 6

Step-by-step explanation:

my Cashsap kinqcollin

x=102°

Answer:

x+78=180 supplementary angle

x=180-78=102

Step-by-step explanation:

You have to click the number of Xs for each kilometer travelled. For example, there are 2 "3 km" answers, so under the 3 column, you click 2 Xs.

Answer:

no possible answers

Step-by-step explanation:

V

W

X

w = 35

x = 78

48°

?°

\frac{\sin A}{a}=\frac{\sin B}{b}

a

sinA

​

=

b

sinB

​

From the reference sheet (reciprocal version).

\frac{\sin X}{78}=\frac{\sin 48}{35}

78

sinX

​

=

35

sin48

​

Plug in values.

\sin X=\frac{78\sin 48}{35}\approx 1.6561513

sinX=

35

78sin48

​

≈1.6561513

Evaluate.

X=\sin^{-1}(1.6561513)= \text{ERROR}

X=sin

−1

(1.6561513)=ERROR

Sine cannot be greater than 1.

\text{No Possible Triangles}

No Possible Triangles

\{\}

{}

Answer:

no Possible Triangles

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

Hi,

Since the 6 is in the tenths place, it's a 60.

I hope this helps :)

Answer:

B 74

Step-by-step explanation:

Answer:

I think it could be true, but maybe its false

Step-by-step explanation:

Answer:

7 Ways

Step-by-step explanation:

Have a Nice Day!

Answer:

64 ways

Step-by-step explanation:

Basic possibility table/using math, and calculating

Answer:

184

Step-by-step explanation:

A maze game can be constructed successfully by abiding by the specified guidelines in a systematic manner. Here is a comprehensive guide consisting of multiple steps to create it:

1. Initially, plot the initiation point and conclusion point across different quadrants.

2. Commence the game: Participants must start from the starting point and locate the ending spot through the shortest possible route.

3. Illustrate two sample games through drawing colored paths utilizing pencils or markers which should then be described using coordinates for each route.

4. Compute the overall distance travelled by extracting geographical details available from the used path's coordinates via the distance formula.

5. Finally, determine the most concise path course among all other alternatives.

Learn more about game on

https://brainly.com/question/908343

#SPJ1

Answer:

8 triangles

Step-by-step explanation:

1 Triangle = 2 needed to be solve. 4 triangle × 2 =8.

Answer:

270 cubic centimeters

Step-by-step explanation:

To find the volume you multiply the lenght times width times hight. So 5x6 is 30. 30x9=270

2x 4 =- 8

2 x + 4 = 8 2x+4=8 2x+4=8. Subtract 4 from both sides. Simplify 8 − 4 8-4 8−4 to 4. Divide both sides by 2.

Answer: x > 4

x > 4 would look like that on the graph. If it was x is greater than or equal to 4, then the circle would be completely filled in. Hope this helped!

Answer:

days 7

weeks 4

Step-by-step explanation:

there are 7DAYS Iin a week

there are 4WEEKS in a month

Answer:

86 apples

Step-by-step explanation:

Hope this helps and have a great day!!!!

the nswer is 81 36/4=9

9x9=81