The equation y=1/9x relates proportional quantities x and y.

What is the value of x when y is 4?

Answer:

Step-by-step explanation:

Given  x^2 - 16x + 60 = -12

Using the completing the square method to find x;

subtract 60 from both sides

x2 - 16x + 60-60 = -12-60

x2 - 16x  = -72

Add square of the half of the coefficient of x to both sides

x2 - 16x + (1/2(-16))²  = -72 +  (1/2(-16))²

x^2 - 16x +64 = -72+64

(x-8)² = -8

Take the square root of both sides

√(x-8)² = √-8

x - 8 = ±√8i

x =  ±√8i+8

x =  ±2√2i+8

The solution of the given equation is:  [tex]x = 8+\sqrt{-8}[/tex]  and  [tex]\\x = 8-\sqrt{-8}[/tex].

Given that:

Equation:  [tex]x^2 - 16x + 60 = -12[/tex]

Simplify the above equation as:

x² - 16x + 60 = -12

x² - 16x = -12 - 60

x² - 16x = -72

Add 64 to each side of the equation to complete the square.

x² - 16x + 64 = -72 + 64

x² - 16x + 64 = -8

Write x² - 16x + 64 as (x - 8)² since it is a perfect square trinomial.

(x - 8)² = -8

Take the square root of both sides to get the solutions.

[tex]x - 8 = \±\sqrt{-8}\\x = 8\±\sqrt{-8}\\x = 8+\sqrt{-8}\\x = 8-\sqrt{-8}[/tex]

where i is the imaginary unit.

Hence, the value of x are:  [tex]x = 8+\sqrt{-8}[/tex]  and  [tex]\\x = 8-\sqrt{-8}[/tex].

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Answer:

see explanation

Step-by-step explanation:

Given

[tex]\frac{2}{5\sqrt{3} }[/tex]

To rationalise the denominator, multiply the numerator/ denominator by [tex]\sqrt{3}[/tex]

= [tex]\frac{2\sqrt{3} }{5\sqrt{3}(\sqrt{3}) }[/tex]

= [tex]\frac{2\sqrt{3} }{15}[/tex]

-----------------------------------------------------------------------

Given

[tex]\frac{\sqrt{5}+2 }{\sqrt{5}-2 }[/tex]

Multiply the numerator/ denominator by the conjugate of the denominator.

The conjugate of [tex]\sqrt{5}[/tex] - 2 is [tex]\sqrt{5}[/tex] + 2 , then

= [tex]\frac{(\sqrt{5}+2)(\sqrt{5}+2) }{(\sqrt{5}-2)(\sqrt{5}+2) }[/tex] ← expand numerator/denominator using FOIL

= [tex]\frac{5+4\sqrt{5}+4 }{5-4}[/tex]

= [tex]\frac{9+4\sqrt{5} }{1}[/tex]

= 9 + 4[tex]\sqrt{5}[/tex]

Answer:

your answer is second option, maybe

Answer:

second choice 100% sure

Answer:

Hope this helps...if it dosent, sorry

Step-by-step explanation:

The values of x and y in the equilateral and Isosceles triangles are 7 and 4 respectively.

An equilateral triangle is a triangle that has all its sides equal to each other.

Therefore,

3x - 5 = 5y - 4 (equilateral triangle)

3x - 5y = 1

Therefore,

y + 12 = 3x - 5 (Isosceles triangle)

y - 3x = - 17

Hence,

3x - 5y = 1

- 3x + y = - 17

-4y = -16

y = -16 / -4

y = 4

Therefore,

3x = 1 + 5(4)

3x = 21

x = 21 / 3

x = 7

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Answer:

I think the answer you are looking for is 10.

Step-by-step explanation:

-5 x -2 = 10

Answer:

c=4

Step-by-step explanation:

subtract 50-18= 32

then subtract 12c-4c= 8c

8c=32

divide 8c by 32 which gives you

c=4

Answer:

[tex]:\implies \sf 12c - 4c + 18 = 50 \\ \\ \\ [/tex]

[tex]:\implies \sf 8c = 50 - 18 \\ \\ \\ [/tex]

[tex]:\implies \sf 8c = 32 \\ \\ \\ [/tex]

[tex]:\implies \sf c = \frac{32}{8} \\ \\ \\ [/tex]

[tex]:\implies \underline{ \boxed{\textsf { \textbf{c = 4}}}} \\ \\ \\ [/tex]

Answer:

[tex]y=\frac{-1}{3}x-4[/tex]

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step 1: Define

Point (9, -7)

Point (-6, -2)

Step 2: Find slope m

[tex]m=\frac{-2-(-7)}{-6-9}[/tex]

[tex]m=\frac{-2+7}{-15}[/tex]

[tex]m=\frac{5}{-15}[/tex]

[tex]m=\frac{-1}{3}[/tex]

[tex]y=\frac{-1}{3}x+b[/tex]

Step 3: Find y-intercept b

[tex]-7=\frac{-1}{3}(9)+b[/tex]

[tex]-7=-3+b[/tex]

[tex]-4=b[/tex]

Step 4: Write linear equation in slope-intercept form

[tex]y=\frac{-1}{3}x-4[/tex]

The solution to the inequality is [tex]y[/tex] > [tex]-17[/tex]

Answer:

I speak without a mouth and hear without ears. I have no body, but I come alive with wind. What am I?

also

You measure my life in hours and I serve you by expiring. I’m quick when I’m thin and slow when I’m fat. The wind is my enemy.

Step-by-step explanation:

riddle

I speak without a mouth and hear without ears. I have no body, but I come alive with wind. What am I?

What disappears as soon as you say its name?

answer scroll down

an echo

silence

Explicación paso a paso:

La distancia recorrida el primer día = 500 m

Si aumenta la distancia en 200 m diariamente, entonces el total corrido diariamente formará una progresión aritmética con el último término de 10 km (10,000) como se muestra;

500, (500 + 200), (500 + 200 + 200) ... 10,000

500, 700, 900 ... 10,000

para que sepamos el número total de días usados ​​para la carrera, usaremos la fórmula para calcular el enésimo término de una secuencia aritmética como se muestra;

[tex]T_n = a+(n-1)d[/tex] where;

n es el número de términos

a es el primer término de la secuencia

d es la diferencia común

Dado a partir de la secuencia:

a = 500

Tn = 10,000

d = 700-500 = 900-700 = 200

Sustituir en la fórmula y calcular el valor de n

[tex]10,000 = 500+(n-1)*200\\10,000 = 500+(200n-200)\\10,000 = 500-200+200n\\200n = 10,000-300\\200n = 9,700\\n = 9,700/200\\n = 48.5[/tex]

Andrea habría alcanzado los 10.000km tras 48,5 días de carrera

Answer:

Step-by-step explanation:

1: 10

2: 100

3: 1000

4: 10000

5:100000

6:1000000

7:10000000

8:100000000

9:1000000000

9.6 times 10 to the ninth power is...

0:9.6

1:96

2:960

3:9600

4:96000

5:960000

6:9600000

7:96000000

8:960000000

9:9600000000

the second equation is 2000 so then i did this

9600000000

             2000

______________

480000

which is in decimal form i believe is...

4.8 x 10 to the sixth power i hope its right and it helped :)

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex](9.6 \times {10}^{9} ) \div (2 \times {10}^{3} ) = [/tex]

[tex] \frac{9.6 \times {10}^{9} }{2 \times {10}^{3} } = \frac{96 \times {10}^{ - 1} \times {10}^{9} }{2 \times {10}^{3} } = \\ [/tex]

[tex] \frac{96}{2} \times {10}^{9 - 1} \times {10}^{ - 3} = \\ [/tex]

[tex]48 \times {10}^{8} \times {10}^{ - 3} = \\ [/tex]

[tex]48 \times {10}^{8 - 3} = [/tex]

[tex]48 \times {10}^{5} = [/tex]

[tex]4.8 \times {10}^{6} [/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Thus the correct answer is the second option.

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Answer:

11

Step-by-step explanation:

Let the number be x.

Then by the question,

2x+4 = 3x-7

x=11

Answer:

Let the no. be x

then according to the question,

[tex](x \times 2) + 4 = 3x - 7[/tex]

[tex]2x - 3x = - 7 - 4 \\ = > - x = - 11 \\ = > x = 11[/tex]

Answer:

I believe it would be no real number

Step-by-step explanation:

If you use PEMDAS and multiply the (5-2c) by 2 you get 10-4c. You'd then have to isolate the c and move it over by adding 4c to each side, which would make the inequality 0>10 or even if you flipped it to be -10>0. Both of which are false.

Answer:

6:05 PM

Step-by-step explanation:

Answer:

6:05 P. M.

Step-by-step explanation:

3 hours after 2:45 pm is 5:45 pm. 20 minutes after 5:45 pm is 6:05 pm.

Answer:

63

Step-by-step explanation:

7x9= 63

or you could do 9x7=63

Answer:

63

Step-by-step explanation:

7+7+7+7+7+7+7+7+7=63

Answer:

The cost will be the same for 2 club members as for 1 non-member.

Step-by-step explanation:

There will never be a number of tickets where the price for a given number of club members is the same for the same number of non-members.

However, if two club members purchase tickets, their cost is 2($3) = $6.

If one non-member purchases a ticket, the cost is 1($6) = $6.

Answer:

for y,   y = x + z

for x,   x = y - z

for z,   z = y - x

Plz mark brainliest:)

Answer:

[tex]x=y-z[/tex]

[tex]y = x + z[/tex]

[tex]z=y-x[/tex]

Step-by-step explanation:

[tex]y+(-z)=(x+z)+(-z)[/tex]

same as ^equation for all three ways

To solve this linear equation, we need to group all the variable terms on one side, and all the constant terms on the other side of the equation.

In our example,term [tex]x[/tex] will be moved to the left side. Notice that a term changes sign when it 'moves' from one side of the equation to the other.

To solve this linear equation, we need to group all the variable terms on one side, and all the constant terms on the other side of the equation.

In our example,term [tex]z[/tex] will be moved to the left side. Notice that a term changes sign when it 'moves' from one side of the equation to the other.

Answer:

0.102 s

Step-by-step explanation:

Given the following :

Initial speed (u) = 1 m/s

How long does it take the bean bag to reach maximum height?

At maximum height, the final velocity v = 0

Acceleration due to gravity g = - ve (upward motion) =? - 9. 8m/s²

Using the relation:

v = u + gt

0 = 1 - 9.8t

9.8t = 1

t = 1 / 9.8

t = 0.102 s

Answer:

0.10

Step-by-step explanation: Khan Academy

Answer:

[tex]43.1 ^{\circ}F[/tex]

Step-by-step explanation:

Give that for every 1000 feet increase in the height there is a drop of [tex]1.7 ^{\circ}F[/tex] in temperature.

So, the rate of temperature drop with respect to height, R = 1.7/1000 [tex]^{\circ}F/\text{ft}[/tex].

If the change in height is [tex]\Deltah[/tex][tex]\Delta h[/tex] feet, the temperature drop,

[tex]\Delta T= \Delta h R \;^{\circ}F\cdots(i)[/tex]

The temperature on the ground is 49.9 [tex]^{\circ}F[/tex].

At the ground, the height is 0, so the change in height, \Delta h when the plane reaches an altitude of 4,000 feet, is

\Delta h =4000-0=4000 feet

Now, from equation (i), the temperature drop

[tex]\Delta T= 4000 \times \frac {1.7}{1000}=6.8\;^{\circ}F.[/tex]

Hence, the temperature at an altitude of 4000 feet [tex]= 49.9-6.8=43.1 \;^{\circ}F[/tex].

Answer:

243

Step-by-step explanation:

(5-2) = 3

3 to the power of 5 is 3x3x3x3x3

3x3x3x3x3 = 243

Answer:

(5-2)^5= (3)^5 = 3*3*3*3*3 = 9*9*3 = 243

Step-by-step explanation:

Answer: 2

Step-by-step explanation:

Answer:

ill help

Step-by-step explanation:

Answer:

47% is the correct answer

Answer: 64462 visitors

Step-by-step explanation:

In September, a website had 12,514 visitors.

In October, the website had 13,460 more visitors than it did in September. This will be:

= 12514 + 13460

= 25974

The website had the same number of visitors in November as it did in October.

September = 12514 visitors

October = 25974 visitors

November = 25974 visitors

Total visitors = 12514 + 25974 + 25974

= 64462 visitor

It takes Maria 7.5 hours to assemble a furniture set alone.

Let x represent the amount of time in hours that it takes Maria to assemble a furniture.

Given that it take Adam to assemble a furniture set in 5 hours. If his sister

Maria helps, they can finish it in 3 hours, hence:

3 hours (1 / 5hour) + 3 hours (1 / x) = 1

3/5 + 3/x = 1

3/x = 2/5

x = 7.5 hours

It takes Maria 7.5 hours to assemble a furniture set alone.

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Answer:

A

Step-by-step explanation:

when you open the brackets you do 5 to the power of 5 and X to the power of 5

Answer:

6

Step-by-step explanation:

First you multiply both sides by 3. Than you simplfiy. Next you add 24 to both sides. Simplify. Finally you divide both sides by 12 & simplify. Which should give you 6.

(Answer = 6)

Answer:6

Step-by-step explanation:

the function is x^2-9, so all you have to do is replace x with a number. for example, 2.

so 2^2-9 is -5. the plot would be 2, -5. basically, plug in a number to be the x coord, and whatever number you get will be your y coord.

after you graph a few plots (doing the same thing above), draw a line through all of them.

if the line goes up towards the right top corner, it's increasing. if it goes down the right bottom corner, it's decreasing.

Answer:

By the amount of time it took you guys to get there

Step-by-step explanation:

For example, if I start walking at 8:55 and arrive by 9:10, then it took me about 15 minutes to get there.

If you start walking at 9:10 and arrive by 9:20, it took you 10 minutes to get there meaning you walked faster.

Hope I helped.