what is the first step to solving a quadratic equation

The answer is in the picture. To be honest, I am not 100% sure about it.

Answer:

can you please put a better picture?

Answer:

-4

Step-by-step explanation:

Slope can be found with [tex]\frac{y2-y1}{x2-x1}[/tex]

Pick two points on the graph that the line runs through

(-2, 4) will fill the values of x1 and y1, and (-1, 0) will fill the values of x2 and y2

Insert the coordinates into the formula

[tex]\frac{0-4}{(-1)-(-2)}[/tex]

[tex]\frac{-4}{-1+2}[/tex]

[tex]\frac{-4}{1}[/tex]

Therefore the slope is -4

Answer:

I only know that it will be 28 mm tall but you have to be more specific

Answer:

The Moon's orbit around Earth has a sidereal period of 27.3 days. During each synodic period of 29.5 days, the amount of visible surface illuminated by the Sun varies from none up to 100%, resulting in lunar phases that form the basis for the months of a lunar calendar. The Moon is tidally locked to Earth, which means that the length of a full rotation of the Moon on its own axis causes its same side (the near side) to always face Earth, and the somewhat longer lunar day is the same as the synodic period. That said, 59% of the total lunar surface can be seen from Earth through shifts in perspective due to libration.[17]

The most widely accepted origin explanation posits that the Moon formed about 4.51 billion years ago, not long after Earth, out of the debris from a giant impact between the planet and a hypothesized Mars-sized body called Theia. It then receded to a wider orbit because of tidal interaction with the Earth. The near side of the Moon is marked by dark volcanic maria ("seas"), which fill the spaces between bright ancient crustal highlands and prominent impact craters. Most of the large impact basins and mare surfaces were in place by the end of the Imbrian period, some three billion years ago. The lunar surface is relatively non-reflective, with a reflectance just slightly brighter than that of worn asphalt. However, because it has a large angular diameter, the full moon is the brightest celestial object in the night sky. The Moon's apparent size is nearly the same as that of the Sun, allowing it to cover the Sun almost completely during a total solar eclipse.

Answer:

50%

Step-by-step explanation:

Let X = Green and red

     Y = Red and blue

     Z = Green and blue

( Buy green or red or blue )

⇒ (x + y) + (y + z) + (z + y)  = 25 + 40 + 25

⇒ 2( x + y + z) = 100

∴ x + y + z = 50

Buy at least one shirt = 50%

So, did not buy any shirt = 100 - 50

                                        = 50%

Equation:

F = (w * da) / dh

F = (400 * 2) / (30)

F = (800) / (30)

F = 26.7 or 27 lb

Answer:

15.31

Step-by-step explanation:

The expected value, E(X) is given by :

E(X) = Σx*p(x)

From the table above :

E(X) = (13 * 0.01) + (14 * 0.27) + (15 * 0.30) + (16 * 0.25) + (17 * 0.16) + (18 * 0.01)

E(X) = 15.31

Answer:

6/5

Step-by-step explanation:

The scale factor can be obtained by simply finding the ratio of the lenght of the side of one shape to the length of the same side of the other shape.

Thus, we can obtain the scale factor that will take us from △ABC to △MNO as illustrated below:

Original Length BC = 15 in

New Length NO = 18 in

Scale factor =?

Scale factor = New lenght NO / Original length BC

Scale factor = 18 / 15

Scale factor = 6/5

Therefore, the scale factor that will take us from △ABC to △MNO is 6/5.

Answer:3

Step-by-step explanation:

Explanation:

Imagine you had a table with 3 rows and 3 columns. The rows represent the possible main dishes (Chicken, Fish, Beef) and the rows represent the side dishes (Rice, Potatoes, Vegetables).

The table has 3*3 = 9 cells inside it. Each inner cell represents a different combo the customer can order.

Answer:

1:1

Step-by-step explanation:

this is because they are selected at random 3/3=1

Answer:

option c - 9.9

Step-by-step explanation:

The angle between a tangent to a circle and the radius at the point of contact is 90 degree.

So the triangle is a right angle triangle.

The side opposite the 90°, is the hypotenuse.

Using Pythagoras theorem:

                 [tex]16.5^2 = 13.2^2 + x^2\\\\16.5^2 - 13.2^2 = x^2\\\\x^2 = 272.25 - 174.24 = 98.01\\\\x = \sqrt{98.01} = 9.9[/tex]

OPTION A 75% is the correct answer

Answer:

I put all the steps to factoring, hopefully this helps! ^^

Step-by-step explanation:

-Check for common factors. If the terms have common factors, then factor out the greatest common factor (GCF) and look at the resulting polynomial factors to factor further.

-Determine the number of terms in the polynomial.  

-Look for factors that can be factored further.

-Check by multiplying.

Answer:

Explanation:

Use the Pythagorean theorem (

a

2

+

b

2

=

c

2

)

Lets label the right triangle such that:

a

=

12

b

=

16

c

=

x

Thus,

12

2

+

16

2

=

x

2

144

+

256

=

x

2

400

=

x

2

√

400

=

x

20

=

x

So our missing side,

c

is

20

We can now say that the sides of our triangle are

12

,

16

,

20

I've included a link that lists a couple of Pythagorean triples (a couple because they are infinitely many).

Step-by-step explanation:

Hope it helpful

Answer:

Step-by-step explanation:

a^2+b^2=c^2

6^2+10^2=x^2

36+100=x^2

136=x^2

[tex]\sqrt{136[/tex] =x

2[tex]\sqrt{34[/tex] =x

Answer:

Option A,B,C and D  is correct

Step-by-step explanation:

As we can see , the data set for April month has longer time duration taken for completing homework as compared to the time taken during the month of April. Hence, option A is correct.

Option B is also correct because most of the instance of time taken for doing homework is greater for month of April as compared to the month of March

Median value for the month of march = 25 and median value for the month of April is (30+35)/2 = 32.5. Hence, Option C is correct

There is greater variability for the month of April. Hence, option D is correct

Answer:

They are 240 miles away from each other

Answer:

I have two but im unsure

without fractioned to pie it is

1568

but with the [tex]\pi[/tex] fraction it is

499.11

Step-by-step explanation:

Question isnt well formatted :

Answer:

1 : 6

Step-by-step explanation:

Given the question :

3x = 1/2y

3x = y/2

Multiply both sides by 2

3x * 2 = y/2 * 2

6x = y

This can be interpreted as :

y = 6 times the value of x

x = y/6

x : y

1 : 6

Answer:

Step-by-step explanation:

take x degree as reference angle

using tan rule

tan x=opposite/adjacent

tan x=6.1/5.1

tan x=1.19

x=[tex]tan^{-1}[/tex]1.19

x=49.95

x=50 degree

Answer:

Question 1)

Cristina is traveling 11 miles per hour and Kori is traveling 20 miles per hour.

Question 2)

Four hours.

Question 3)

Paige spent two hours biking and six hours walking.

Step-by-step explanation:

Question 1)

Let Cristina's speed be x.

Kori travels 9 miles per hour faster than Cristina. So, Kori's speed is (x + 9).

After six hours, Cristina would have traveled 6x miles and Kori would have traveled 6(x + 9) miles.

Since Kori traveled in the opposite direction, we can place a negative to represent this. So, after six hours, Kori is -6(x + 9) miles away from the restaurant while Cristina is 6x miles away from the restaurant.

Since the distance between them is 186 miles, the difference of the two expressions is 186. Hence:

[tex](6x)-(-6(x+9))=186[/tex]

Distribute:

[tex]6x-(-6x-54)=186[/tex]

Distribute:

[tex]6x+6x+54=186[/tex]

Simplify:

[tex]12x=132[/tex]

Hence:

[tex]x=11[/tex]

Cristina's speed is 11 miles per hour. Thus, Kori's speed is 20 miles per hour.

Question 2)

Let h represent the amount of time that has passed in hours.

Carrie left the restaurant traveling 12 miles per hour.

Four hours later, Leah left traveling in the same direction at 24 miles per hour.

After four hours, Carrie would have traveled 12(4) = 48 miles.

Carrie would still be traveling at 12 miles per hour. So, her distance from the restaurant is given by:

[tex]12h+48[/tex]

Since Leah just left and is traveling at a rate of 24 miles per hour, her distance from the restaurant is given by:

[tex]24h[/tex]

Leah will catch up when the two expressions are equivalent. Hence:

[tex]12h+48=24h[/tex]

Solve for h:

[tex]12h=48\Rightarrow h=4[/tex]

Leah will catch up with Carrie in four hours.

Question 3)

Let x represent the amount of hours spent biking and y represent the amount of hours spent walking.

The total trip to the mall took eight hours. Hence:

[tex]x+y=8[/tex]

The mall is a total of 46 miles away. Since Paige bikes at a rate of 8 miles per hour and walks at a rate of five miles per hour:

[tex]8x+5y=46[/tex]

Solve the system. We can use elimination. Multiply the first equation by -5:

[tex]-5x-5y=-40[/tex]

We can add this to the second equation:

[tex]3x=6[/tex]

Hence:

[tex]x=2[/tex]

Using the first equation again:

[tex](2)+y=8\Rightarrow y=6[/tex]

So, Paige spent two hours biking and six hours walking.

9514 1404 393

Answer:

  B

Step-by-step explanation:

(4π)/3 is a 3rd-quadrant angle with a reference angle of π/3 = 60°. This means both coordinates of the terminal point are negative, and the x-coordinate has the smaller magnitude. The only applicable choice is ...

  B. (-1/2, -√3/2)

Answer:

f)0

Step-by-step explanation:

Answer:

a) (6,4)

b) (5, 4.5)

Step-by-step explanation:

much like when you find them midpoint where you average the x-coordinates and the y-coordinates to find the midpoint coordinates, you'll do the same thing here.

to set context, a midpoint would break the segment into a ratio of 1:1.

so in the first part, a ratio of 1:2 means you are breaking the segment into 3-parts. So you'll do this for the coordinates:

[tex]x = \frac{8 + 2}{3} \: and \: y = \frac{3 + 6}{3} [/tex]

for the second part as the ratio is 1:3, you are breaking the segment into 4 parts.

[tex]x = \frac{6 + 2}{4} \: and \: y = \frac{4 + 6}{4} [/tex]

Answer:

(x+1)(3x+2) is the answer

Answer:

Step-by-step explanation:

3x^2+5x+2

3x^2+(3+2)x+2

3x^2+3x+2x+2

3x(x+1)+2(x+1)

(3x+2)(x+1)