solve x^2-8x-9=0 using the x method

Step-by-step explanation:

Let's think about how we can solve for ttt in the following equation:

\qquad 6t = 546t=546, t, equals, 54

We want to get ttt by itself on the left hand side of the equation. So, what can we do to undo multiplying by 6?

We should divide by 6 because the inverse operation of multiplication is division!

Here's how dividing by 6 on each side looks:

\begin{aligned} 6t &= 54 \\\\ \dfrac{6t}{\blueD{6}} &= \dfrac{54}{\blueD{ 6}}~~~~~~~~~~\small\gray{\text{Divide each side by six.}} \\\\ t &= \greenD{9}~~~~~~~~~~\small\gray{\text{Simplify.}} \end{aligned}6t66tt=54=654          Divide each side by six.=9          Simplify.

Let's check our work.

It's always a good idea to check our solution in the original equation to make sure we didn't make any mistakes:

\qquad \begin{aligned} 6t &= 54 \\ 6 \cdot \greenD9 &\stackrel{\large?}{=} 54\\ 54 &= 54 \end{aligned}6t6⋅954=54=?54=54

Yes, t = \greenD{9}t=9t, equals, start color #1fab54, 9, end color #1fab54 is a solution!

Solving a division equation using inverse operations

Now, let's try to solve a slightly different type of equation:

\qquad \dfrac x5 = 75x=7start fraction, x, divided by, 5, end fraction, equals, 7

We want to get xxx by itself on the left hand side of the equation. So, what can we do to cancel out dividing by 5?

We can multiply by 5 because the inverse operation of division is multiplication!

Here's how multiplying by 5 on each side looks:

\begin{aligned} \dfrac x5 &= 7 \\\\ \dfrac x5 \cdot \blueD{5} &= 7 \cdot \blueD{5}~~~~~~~~~~\small\gray{\text{Multiply each side by five.}} \\\\ x &= \greenD{35}~~~~~~~~~~\small\gray{\text{Simplify.}} \end{aligned}5x5x⋅5x=7=7⋅5          Multiply each side by five.=35          Simplify.

Let's check our work.

\qquad \begin{aligned} \dfrac x5 &= 7 \\\\ \dfrac{\greenD{35}}{5} &\stackrel{\large?}{=} 7\\\\ 7 &= 7 \end{aligned}5x5357

Answer:

WHAT THE #### WHAT IS THEIS

Step-by-step explanation:

Answer:

Two times the density of hydrogen   =   18 x 10^-5

Step-by-step explanation: Two times the density of hydrogen   =   18 x 10^-5    is ALMOST 20 x 10^-5    or 2 x 10^-4

SO the first statement is correct.

Answer:

the value of a1 in a geometric series is 12 if i remember correctly.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Since dividing any term by the previous term is constant this is a geometric sequence. In this case the common ratio is 18/6=54/18=3 and the first term a1=6

So a1=6 and r=3

The function for the value of the motorcycle after x years are;

y = 8000 - 500x

y = -500x + 8000

A function is a relationship between inputs where each input is related to exactly one output.

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have given that new motorcycle has a value of $8,000. Every year its value decreases by $500.

Now, we have y = amount of the motorcycle

x = number of years

The function for the value of the motorcycle after x years.

y = 8000 - 500x

y = -500x + 8000

Thus,

y = 8000 - 500x

y = -500x + 8000

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Answer:

36

Step-by-step explanation:

3 times 2 would equal 6. Squaring the number would be 6 times 6, equaling 36.

Answer:

36

Step-by-step explanation: Using PEMDAS we do 3x2 first which gives us 6 and then to the power of 2 which gives us 6 times it self. also 6x6 giving us 36

Answer: 1. 36 miles. 180/5=36.

2. The equation is d = 1/5m

Step-by-step explanation:

Answer:

The image has the answer.

With the given info you travel 1 mile in 5 minutes.

180 ÷ 5 = 36

1 mile per every 5 minutes

Answer:

86π

Step-by-step explanation:

A=2πrh+2πr2

A=2π*16+2π*4*7

A=32π+54π

A=86π

Hope this helps :)

Answer:

1/3 of 1/4 : Top left and 1/5 of 5/6: Top right

Step-by-step explanation:

The first one I'll do is Physics because you know the amount of girls and total amount of students. Use the equation x+19=33. Note that x is the amount of boys we are trying to find. All you need to do is simply subtract 19 from both sides to get x alone.

                                             x + 19 = 33

                                                  -19   -19

                                             x         = 14

For the total that's going up and down, you can do this same process again, but just using x for girls instead of boys. Your equation should look like 47+x=80. Once again, subtract 47 from both sides.

                                             47 + x = 80

                                             -47        -47

                                             x         =  33

Now you can find whole row for boys. This equation will be a little longer, but it's still pretty easy. 18+x+14=47 is what we will be using. We first will need to combine like terms (the 18 and 14), then subtract it off from both sides to get x alone.

                                             18 + x + 14 = 47

                                                    x + 32 = 47

                                                        -32   -32

                                                     x         = 15

Moving onto the biology column, we'll be using the equation 15+x=21

                                             15 + x = 21

                                            -15        -15

                                             x         = 6

Now we can find out the girls column with this equation: x+6+19=33

                                           x + 6 + 19 = 33

                                           x + 25      = 33      

                                               -25         -25

                                                     x      = 8

Lastly, we can find the chemistry column by just adding 18+8 to get 26.

I know this was a little hard to follow along, so here's a picture of it finished:  

Answer:

4188.79 units^3

Step-by-step explanation:

Formula: [tex]\frac{4}{3} * \pi * r^{3}[/tex]

(4/3)[tex]\pi[/tex] * 10^3 = 4188.79

Answer:

The question is not asked correctly

Step-by-step explanation:

Answer:

x = 9.33

Step-by-step explanation:

7/13 = x/(x+8)

7x + 56 = 13x

6x = 56

x = 9.33

Answer:

Step-by-step explanation:

Another way to solve would be to distribute first:

22 = 2(x + 6)

22 = 2x + 12

Subtract 12:

22 - 12 = 2x - 12

10 = 2x

Divide by 2:

10 / 2 = 2x / 2

5 = x

Answer:

where there's no picture

Step-by-step explanation:

u are very smart

Answer: The answer is C

Step-by-step explanation: I had the same question and got it right on my test

Answer:

zfhogdakzgf

Step-by-step explanation:

akhsdakGZSgIXU

Answer:

Use these points.

(1, -2.5)

(-1, -5.5)

3/2x1=1.5-4=-2.5

3/2x-1=-1.5-4=-5.5

Answer:The two points on the graph are (0,-4) and (2.667,0)

Step-by-step explanation:

We are given that a function. We have to graph the function  using line tool and select two points to graph. Let Substitute x=0 then, we get Therefore, the equation cut the y- axis at point (0,-4). Substitute y=0 then we get

Answer:

H, 96.56

Step-by-step explanation:

First, find the area of the square: 8x8=64

do 17-8-4 to get 5, which is the triangle base

Then, the triangle area: 8x5=40/2=20

Finally, the circular shape area: π·4^2=50.26

divide that by 4 because it's 1/4 of a circle: 12.56

then add all the sums together: 64+20+12.56=96.56

Answer:

Equation: y = 8x + 56

After 5 minutes, the volume of the water was 96 gallons

Step-by-step explanation:

Use y = mx + b to create the linear equation, where m is the slope and b is the y intercept.

Since the water flows in at 8 gallons per minute, 8 will be the slope. The variable x will represent the number of minutes.

There are already 56 gallons of water in the tank, so b will be 56.

Plug in these values into the equation:

y = 8x + 56

So, the linear equation is y = 8x + 56

Using this, plug in 5 as x to find the volume of the water in the sink after 5 minutes:

y = 8x + 56

y = 8(5) + 56

y = 40 + 56

y = 96

So, after 5 minutes, the volume of the water was 96 gallons

Answer:

64.8 grams of sugar

Step-by-step explanation:

brainliest plz

Answer:

Step-by-step explanation:

Answer:

Check pdf

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The pair of alternate interior angles in the given figure is ∠ 4 and ∠ 6

Alternate Interior Angles are a pair of angles on the inner side of each of those two lines, but on opposite sides of the transversal.

Given is a figure, we are asked to identify a pair of alternate interior angles,

According to the definition of pair of alternate interior angles, we can identify two pair of alternate interior angles, in the figure,

∠ 4 and ∠ 6

∠ 3 and ∠ 5

Hence, the pair of alternate interior angles in the given figure is ∠ 4 and ∠ 6

For more references on pair of alternate interior angles, click;

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Answer:

Step-by-step explanation:

∠5 + ∠4 = 180°

4x° + 2x° = 180°

6x° = 180°

x = 30

Answer:

126 km/h

Step-by-step explanation:

Sorry if I'm wrong:/