9x - 6xy + 9 + 9xy - 6

Answer:

[tex]x=\frac{2\sqrt{6}}{3}-4,\:x=-\frac{2\sqrt{6}}{3}-4[/tex]

Step-by-step explanation:

[tex]3(x+4)^2 =8\\\\\mathrm{Divide\:both\:sides\:by\:}3\\\frac{3\left(x+4\right)^2}{3}=\frac{8}{3}\\\\Simplify\\\left(x+4\right)^2=\frac{8}{3}\\\\\mathrm{For\:}\left(g\left(x\right)\right)^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}\\g\left(x\right)=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\\\mathrm{Solve\:}\:x+4=\sqrt{\frac{8}{3}}:\\\quad x=\frac{2\sqrt{6}}{3}-4\\\\\\\mathrm{Solve\:}\:x+4=-\sqrt{\frac{8}{3}}:\\\quad x=-\frac{2\sqrt{6}}{3}-4\\[/tex]

[tex]x=\frac{2\sqrt{6}}{3}-4,\:x=-\frac{2\sqrt{6}}{3}-4[/tex]

Answer:

a = 6

Step-by-step explanation:

Given

[tex]\frac{a}{3}[/tex] + 4 = 6 ( subtract 4 from both sides )

[tex]\frac{a}{3}[/tex] = 2 ( multiply both sides by 3 to clear the fraction )

a = 6

Answer:

a=6

Step-by-step explanation:

a/3=6-4

a/3=2

a=6

Answer:

Number of box seats = 1000

Number of lower deck seats = 5000

Number of upper deck seats = 4000

Step-by-step explanation:

Let number of box seats = [tex]x[/tex]

Let number of lower deck seats = [tex]y[/tex]

Let number of upper deck seats = [tex]z[/tex]

As per question statement:

[tex]x+y+z=10000[/tex] ...... (1)

Cost for box seat = $10

Cost for [tex]x[/tex] box seats = 10[tex]x[/tex]

Cost for lower deck seat = $8

Cost for [tex]y[/tex] lower deck seats = 8[tex]y[/tex]

Cost for lower deck seat = $5

Cost for [tex]z[/tex] lower deck seats = 5[tex]z[/tex]

As per question statement:

[tex]10x+8y+5z=70000[/tex] ..... (2)

[tex]z = 4x[/tex] ..... (3)

Putting value of [tex]y[/tex] in (1) and (2):

[tex]x+y+4x=10000\\\Rightarrow 5x+y=10000[/tex] ....... (4)

[tex]10x+8 y+5\times 4x=70000\\\Rightarrow 30x+8y=70000 ..... (5)[/tex]

8 [tex]\times[/tex] (4) - (5):

[tex]10x =[/tex]10000

[tex]\Rightarrow x = 1000[/tex]

By (3):

[tex]z = 4000[/tex]

Now, by equation (1):

[tex]y[/tex] = 5000

Number of box seats = 1000

Number of lower deck seats = 5000

Number of upper deck seats = 4000

Answer:

The next three terms in this sequence will be, -96, 192, and -384.

Hope this helped have a blessed day

Step-by-step explanation:

Answer:

I believe it would be 14.

Step-by-step explanation:

The distance between 7 and -7 should be 14.

The length of NO is 14 units

Distance between two points is the length of the line segment that connects the two points in a plane.

The formula to find the length is given by:

d =√((x2 – x1)² + (y2 – y1)²)

We:

N= (7,-4) : x1 = 7 , y1 = -4

O = (-7,-4): x2 = -7 , y2 = -4

Using the formula with the given values:

d=√((-7 – 7)² + (-4 – (-4))²)

d=√((-14 )² + (0)²)

d=√196

d= 14

Therefore, the length of NO is 14 units

Learn more about the distance between two points on:

brainly.com/question/17704491

#SPJ6

Answer:

even numbers

Step-by-step explanation:

its latter digit is divisible by 2

Answer:

x = 1/4x - 5

Step-by-step explanation:

Step 1: Translate from word to math

A number = x

five less = -5

one-fourth = 1/4

of itself = x

Step 2: Combine

x = 1/4x - 5

Answer:

9.

Step-by-step explanation:

The square root of 81 is 9 so therefore the answer is 9.

Answer:

0.32 is bigger

Step-by-step explanation:

change 1/4 to decimal

can I get brainliest

Answer:

0.32

Step-by-step explanation:

Its bigger because if you turn 1/4 into a fraction it's 0.25

Answer:

I'm not sure if this is what your looking for but the answer should be √11

Step-by-step explanation:

its in the picture....

please do give me brainliest if i was able to help you.

thank you and have a good day

Answer:

90°,30°,60°

Step-by-step explanation:

hope it helps

Answer:

Step-by-step explanation:

k(8) = 4(8) - 4

     = 32 - 4

     = 28

answer is A

Step-by-step explanation:

Quadratic term = Coefficient of x^2 term = 3.

Answer:

15.1c + 6.4d - 11.5

Step-by-step explanation:

Given the following :

Lengths of the side of a triangle :

(6.4c-2.5) centimeters

(8.7c-7.8) centimeters

(6.4d-1.2) centimeters

Assume the sides Given are labeled A, B and C respectively,

The perimeter of a triangle is related vyvtge formula :

Perimeter = (A + B + C)

Perimeter = (6.4c - 2.5) + (8.7c - 7.8) + (6.4d - 1.2)

= (6.4c - 2.5) + (8.7c - 7.8) + (6.4d - 1.2)

= 6.4c - 2.5 + 8.7c - 7.8 + 6.4d - 1.2

= 6.4c + 8.7c + 6.4d - 2.5 - 7.8 - 1.2

= 15.1c + 6.4d - 11.5

Answer:

Step-by-step explanation:

Feb 8, 2017 - an=12n(n+1). Explanation: These are recognisable as triangular numbers, but let's use a general method for finding matching polynomial ...

1 answer

Answer:

The average yearly change in the value of the card is $15/year

Step-by-step explanation:

Here in this question, we are interested in calculating the average yearly change in the value of the card.

From the question, we can see that the value of the baseball card has depreciated by $120, thus we simply want to calculate the average yearly charge in the card value.

Mathematically, that would be ;

the total depreciation value/ number of years

From the question, the total depreciation value is $120 while the number of years is 8

Thus; the average yearly change in value of the card = 120/8 = $15/year

Answer:

2.5 x 2 = 5 Hope That Is What Your Looking For

Answer:

5b

Step-by-step explanation:

5 times number b is 5 * b.

In math, we can shorten the writing of a multiplication by a variable by not writing the multiplication sign.

5b means 5 * b

Answer: 5b

Answer

The answer is 0

Answer:

[tex]8x - 5 = 7[/tex]

[tex]8x = 7 + 5[/tex]

[tex]8x = 12[/tex]

[tex]x = \frac{12}{8} [/tex]

[tex]x = \frac{3}{2 } \: or \: 1.5[/tex]

Answer:

the total distance is 56 cm

Step-by-step explanation:

Given that the area of the bulletin board is 196 cm^2

Based on this, the total distance around the bulletin board is

But before that we need to find out the side

As the area of square is

= side^2

196 = side^2

So side = 14

Now there are four sides, so the total distance is

= 4 × 14

= 56 cm

Hence, the total distance is 56 cm

Answer:

56 cm

Step-by-step explanation:

Answer:

11) D. y=5/2x+5/2 , 12) B. y=8/5x+69/5, 14) A. y=-9/5x-67/5

Step-by-step explanation:

11) The function of the perpendicular line can be found in terms of its slope and a given point by this formula:

[tex]y-y_{o} = m_{\perp}\cdot (x-x_{o})[/tex]

Where:

[tex]x_{o}[/tex], [tex]y_{o}[/tex] - Components of the given point, dimensionless.

[tex]m_{\perp}[/tex] - Slope, dimensionless.

Besides, a slope that is perpendicular to original line can be calculated by this expression:

[tex]m_{\perp} = -\frac{1}{m}[/tex]

Where [tex]m[/tex] is the slope of the original line, dimensionless.

The original slope is determined from the explicitive form of the given line:

[tex]-2\cdot x - 5\cdot y = -19[/tex]

[tex]2\cdot x +5\cdot y = 19[/tex]

[tex]5\cdot y = 19 - 2\cdot x[/tex]

[tex]y = \frac{19}{5} -\frac{2}{5}\cdot x[/tex]

The original slope is [tex]-\frac{2}{5}[/tex], and the slope of the perpendicular line is:

[tex]m_{\perp} = -\frac{1}{\left(-\frac{2}{5}\right) }[/tex]

[tex]m_{\perp} = \frac{5}{2}[/tex]

If [tex]x_{o} = -3[/tex], [tex]y_{o} = -5[/tex] and [tex]m_{\perp} = \frac{5}{2}[/tex], then:

[tex]y-(-5) = \frac{5}{2}\cdot [x-(-3)][/tex]

[tex]y + 5 = \frac{5}{2}\cdot x +\frac{15}{2}[/tex]

[tex]y = \frac{5}{2}\cdot x +\frac{5}{2}[/tex]

The right answer is D.

12) The function of the parallel line can be found in terms of its slope and a given point by this formula:

[tex]y-y_{o} = m_{\parallel}\cdot (x-x_{o})[/tex]

Where:

[tex]x_{o}[/tex], [tex]y_{o}[/tex] - Components of the given point, dimensionless.

[tex]m_{\parallel}[/tex] - Slope, dimensionless.

Its slope is the slope of the given, which must be transformed into its explicitive form:

[tex]-8\cdot x + 5\cdot y = 89[/tex]

[tex]5\cdot y = 89 +8\cdot x[/tex]

[tex]y = \frac{89}{5}+\frac{8}{5} \cdot x[/tex]

The slope of the parallel line is [tex]\frac{8}{5}[/tex].

If [tex]x_{o} = -8[/tex], [tex]y_{o} = 1[/tex] and [tex]m_{\parallel} = \frac{8}{5}[/tex], then:

[tex]y-1 = \frac{8}{5}\cdot [x-(-8)][/tex]

[tex]y-1 = \frac{8}{5}\cdot x +\frac{64}{5}[/tex]

[tex]y = \frac{8}{5}\cdot x +\frac{69}{5}[/tex]

The correct answer is B.

14) The function of the perpendicular line can be found in terms of its slope and a given point by this formula:

[tex]y-y_{o} = m_{\perp}\cdot (x-x_{o})[/tex]

Where:

[tex]x_{o}[/tex], [tex]y_{o}[/tex] - Components of the given point, dimensionless.

[tex]m_{\perp}[/tex] - Slope, dimensionless.

Besides, a slope that is perpendicular to original line can be calculated by this expression:

[tex]m_{\perp} = -\frac{1}{m}[/tex]

Where [tex]m[/tex] is the slope of the original line, dimensionless.

The original slope is determined from the explicitive form of the given line:

[tex]-5\cdot x +9\cdot y = 49[/tex]

[tex]9\cdot y = 49+5\cdot x[/tex]

[tex]y = \frac{49}{9} +\frac{5}{9}\cdot x[/tex]

The original slope is [tex]\frac{5}{9}[/tex], and the slope of the perpendicular line is:

[tex]m_{\perp} = -\frac{1}{m}[/tex]

[tex]m_{\perp} = -\frac{1}{\frac{5}{9} }[/tex]

[tex]m_{\perp} = -\frac{9}{5}[/tex]

If [tex]x_{o} = -8[/tex], [tex]y_{o} = 1[/tex] and [tex]m_{\perp} = -\frac{9}{5}[/tex], then:

[tex]y-1 = -\frac{9}{5}\cdot [x-(-8)][/tex]

[tex]y-1 = -\frac{9}{5}\cdot x-\frac{72}{5}[/tex]

[tex]y = -\frac{9}{5}\cdot x -\frac{67}{5}[/tex]

The correct answer is A.

Answer:

16a+20

Step-by-step explanation:

4(4a+5) -----Distributive property

16a+20

Hope this helps ;) ❤❤❤

Answer:

Step-by-step explanation:

AB║CD  ⇒  m∠AGH  = m∠CHF = 119°   {corresponding angles}

m∠BGE = m∠AGH = 119°     {vertical angles}

m∠BGE + m∠B + m∠E = 180°     {sum of angles in triangle}

119° + 18° + m∠E = 180°

m∠E = 180° - 137° = 43°

Answer:

9km

Step-by-step explanation:

If the distance on the map of 8cm between her house and school is equal to 12km actual distance. This means that each cm on the map represent 1.5km in actual distance (12/8=1.5).

This means that D is equal to 9km actual distance, because if each cm represents 1.5km, then 6 cm represents 9km (6x1.5=9).

Hope this helped!

Answer:

       B

Step-by-step explanation:

9 km

Step-by-step explanation:

length(l)= 30cm

Breadth(b)=15cm

Area=l×b

=30×15

=450cm^2

it is 30 then 15 cm long its mean 45 answer

Answer:

[tex]y^7[/tex]

Step-by-step explanation:

If we want to simplify the expression [tex]y^9 \cdot y^{-2}[/tex], we have to note that exponent rules state that [tex]x^a \cdot x^b = x^{a+b}[/tex].

This means that if we add the exponents, that will be what we raise y to the power of.

[tex]9 + -2 = 9-2 = 7[/tex]

So [tex]y^7[/tex].

Hope this helped!

Answer:

300 m^2

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask =)

Answer:

Sorry i don't really know all of the question but I hope the ones I know help.

Step-by-step explanation:

The second questions answers is:

The most significant change in rice production technologies started from 2000 to 2013 and it was the introduction and adoption of new rice seed varieties. Southern rice producers increased it by planting Hybrid and non-genetically modified herbicide.

The third questions answer;

more roads were required cause Edo grew into a huge city with a lot of buildings and they needed road.

The fourth question answer; timber was important cause it was used to supply construction needed for the growing of population in the peaceful time. some places like the Shogun Leyasu and many of the Daimyo started building huge castles and templates to show their power to each other.