How do you factor a quadratic equation completely?

Answers

Answer 1

Answer:

A Method For Simple Cases

Step 1: Find two numbers that multiply to give ac (in other words a times c), and add to give b.

Step 2: Rewrite the middle with those numbers:

Step 3: Factor the first two and last two terms separately:

Step-by-step explanation:


Related Questions

For ABC, let c = 600 ft, m angle B = 50° and then m angle A =30° Then a= ft. Round to nearest whole number.

Answers

Answer: 305 ft

Step-by-step explanation:

Given

[tex]\angle A=30^{\circ}[/tex]

[tex]\angle B=50^{\circ}[/tex]

[tex]c=600\ ft[/tex]

From the angle sum property of the triangle, we can write

[tex]\Rightarrow \angle A+\angle B+\angle C=180^{\circ}\\\Rightarrow \angle C=180^{\circ}-30^{\circ}-50^{\circ}\\\Rightarrow \angle C=100^{\circ}[/tex]

Now using Sine law i.e.

[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]

[tex]\Rightarrow \dfrac{a}{\sin 30^{\circ}}=\dfrac{600}{\sin 100^{\circ}}\\\\\Rightarrow a=600\times \dfrac{\sin 30^{\circ}}{\sin 100^{\circ}}=600\times 0.5077\\\\\Rightarrow a=304.62\ ft\approx 305\ ft[/tex]

don't know it is complicated

Which choice is equal to the expression shown?
6a + 3a + 8b+ a - 56
A.
зь + ба
B.
3b + 9a
C.
3b + 10a
D.
13b + 9a

Answers

Answer: C

Step-by-step explanation:

please answer and explain if you can ​

Answers

Answer:

no s e

s

Step-by-step explanation:

Answer:

its b and i don't know if you can see the screenshot

Step-by-step explanation:

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!

Answers

Answer:

Its 268.08 hope this helps

Step-by-step explanation:

The correct answer and volume to this is 268.08 CM

length and breadth of a cuboid are 13 cm and 8 cm respectively if the volume of a cube it is 40 cm find the height of the cubiod​

Answers

Answer:

Height of cuboid = 0.384 cm (Approx.)

Step-by-step explanation:

Given:

Length of cuboid = 13 cm

Width of cuboid = 8 cm

Volume of cuboid = 40 cm³

Find:

Height of cuboid

Computation:

Volume of cuboid = length x width x height

13 x 8 x Height of cuboid = 40

Height of cuboid = 0.384 cm (Approx.)

Find the values of x and y so that GHJK is a dart. Be sure to show all work .

Answers

Answer:

Step-by-step explanation:

In dart, adjacent sides are equal

JK = GK

3x - 9 = x + 13            {Add 9 to both sides}

3x      = x + 13 + 9

    3x = x + 22            {Subtract 'x' from both sides}

3x -x = 22

 2x  = 22           {Divide both sides by 2}

   x = 22/2

x = 11

JH = GH

9y = 5y + 8  {Subtract 5y from both sides}

9y - 5y = 8

    4y = 8        {Divide both sides by 4}  

  y   = 8/4

y = 2

Can someone help me with this ASAP please I’m being timed

Answers

Answer:

false

Step-by-step explanation:

This is because the ones that most likely have a computer are going to play and the ones that dont arent going to play.

It is False you are welcome

In a mathematics class, half of the students scored 55 on an achievement test. With the exception of a few students who scored 72, the remaining students scored 60. Which of the following statements is true about the distribution of scores?
A. The mean and the median are the same.
B. The mean is greater than the median.
C. The mean is less than the mode.
D. The mean is less than the median.

Answers

Answer: B



Step-by-step explanation: Trust me

Mean (Average) 62.333333333333

Median 60

oWhat can I say execpt your welcome

The mean is greater than the median.

Option (B) is correct.

To find the statements is true.

What is statistics?

A branch of mathematics dealing with the collection, analysis, interpretation, and presentation of masses of numerical data.

Half the students scored 55.

The next highest score is 60. So the median is (55+60) / 2 = 57.5.

A few students scored 72, so the mean is slightly greater than the mean of 55 and 60.

Therefore, the mean is greater than the median.

Learn more about statistics here:

https://brainly.com/question/22613249

#SPJ2

Solve the system using a matrix.
2x – 4y + 2z = 16
-2x + 5y + 2z = -34
x – 2y + 2z = 4
([?],[],[]
ordered triple

Answers

Answer:

using Gaussian elimination method of matrix

Hi can you please help I’ve been stuck on this question

Answers

9514 1404 393

Answer:

  20 meters

Step-by-step explanation:

Using the formula for the area of a rectangle, fill in the given information and solve for the unknown.

  A = LW . . . . . . . . area is length × width

  80 m² = L·(4 m)

  (80 m²)/(4 m) = L = 20 m . . . . . . . divide by 4m (the coefficient of L)

The tarp is 20 meters long.

What is the midpoint between -9 and 15 on the number line?

12
2
3
6

Answers

3 I could be wrong but hopefully it is right

I don’t understand this problem

Answers

Answer: 20

Step-by-step explanation:

a^2=b^2 - c^2. i think i could be wrong

No troll answers again, I just need help

Answers

Answer:

x= 16

Step-by-step explanation:

here!hope this helps

Answer:

10[tex]\sqrt{3}[/tex], or 17.32050

Step-by-step explanation:

What is the next fraction in this sequence? Simplify your answer. 4 5 , 2 3 , 8 15 , 2 5 , ...

Answers

Answer:

4/15

Step-by-step explanation:

To simplify this question, to make it easier to be solved, we try and make sure that all the fractions have the same denominator. This is done by saying

4/5

2/3

8/15

2/5

From the aforelisted numbers, the highest denominator is 15, and thus, we try to make all the denominators 15

4/5 * 3/3 = 12/15

2/3 * 5/5 = 10/15

8/15 * 1/1 = 8/15

2/5 * 3/3 = 6/15

I multiplied it that way, so that it's decimal value doesn't change, even as it gives us the required fraction.

From the new crop of fractions, we have

12/15

10/15

8/15

6/15

If there's anything, we can tell that the sequence is reducing in a -2/15 rate, and thus, our next sequence has to be 4/15

Multiply (x+6) to (x^2 - 7x + 12)

Answers

Answer:

x³- x²- 30x + 72

Step-by-step explanation:

this is just like simple multiplication, you need to multiply each term in (x + 6) by each term in (x² - 7x + 12)

hope this helps

Este curso nuestro instituto tiene 473 alumnos. Si nos dicen que respecto al curso anterior se ha producido un aumento de inscripciones del 10 %, ¿cuántos alumnos había el curso anterior?

Answers

Answer:

En el curso anterior había 430 alumnos.

Step-by-step explanation:

El curso tiene 473 alumnos. Nos dicen que respecto al curso anterior se ha producido un aumento de inscripciones del 10 %. Entonces, siendo x la cantidad de alumnos que había en el curso anterior, se puede plantear la ecuación:

x + 0.1*x= 473

Resolviendo se obtiene:

1.1*x=473

x= 473 ÷1.1

x= 430

En el curso anterior había 430 alumnos.

Write the equation for a line in Slope-Intercept Form (y = mx +b) given the two points below (2,10) (3,-5)

Answers

Given:

The two end points of a line are (2,10) and (3,-5).

To find:

The equation of the line in the slope intercept form.

Solution:

The slope intercept form of a line is

[tex]y=mx+b[/tex]

Where, m is slope and b is the y-intercept.

The two end points of a line are (2,10) and (3,-5). So, the equation of the line is

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

[tex]y-10=\dfrac{-5-10}{3-2}(x-2)[/tex]

[tex]y-10=\dfrac{-15}{1}(x-2)[/tex]

[tex]y-10=-15(x-2)[/tex]

On further simplification, we get

[tex]y-10=-15x+30[/tex]

[tex]y=-15x+30+10[/tex]

[tex]y=-15x+40[/tex]

Therefore, the slope intercept form of the given line is [tex]y=-15x+40[/tex].

Watch rep
Jayden invested $1,500 in an account in the year 2005, and the value has been
growing exponentially at a constant rate. The value of the account reached $1, 800 in
the year 2011. Determine the value of the account, to the nearest dollar, in the year
2019.
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Answers

Something happened when you copy and pasted the question, was it important to the question?

10x + 5y = -5 and y= -2x + 6

slope 1st line
slope 2nd line
Type of Lines​

Answers

Answer:

-2 , -2, parallel

Step-by-step explanation:

same slope, different y intercept, parallel

PLEASE HELP SOON!
Simplify the inequalities and match them with the graphs that represent them.
(look at the screen shot)

Answers

Answers:

Graph A matches with 7x < 42Graph B matches with x+1 < 8Graph C matches with 3x > 15Graph D matches with 2x > 12

===================================================

Explanation:

For each inequality given, we need to isolate x. We'll solve for x in pretty much the same way we solve an equation. So if we wanted to solve 2x = 12, we would divide both sides by 2 to get x = 6.

Similarly, solving 2x > 12 would lead to x > 6. The inequality sign does not flip. It only flips if you divide both sides by a negative number.

The graph of x > 6 has an open hole at 6 and shading to the right. So that matches with graph D.

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

Solving 7x < 42 leads to x < 6 when we divide both sides by 7. The graph has the open hole at the same endpoint of 6, but now the shading is to the left. This shows all values smaller than 6. Therefore 7x < 42 matches with graph A.

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

We have 3x > 15 match with graph C because that inequality is the same as x > 5, after we divide both sides by 3. We have an open hole at 5 and shading to the right.

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

Lastly, the inequality x+1 < 8 solves to x < 7. We'll have an open hole at 7 and shading to the left. This describes graph B.

Any time you see an open hole, it means "do not include this value as part of the solution set". For instance, with x < 7, we have x = 7 as the open hole. This is because 7 < 7 is a false statement. A number cannot be smaller than itself.

The height of a ball t seconds after it's thrown into the air
from the top of a building can be modeled by h(t) = -16t? +
48t + 64, where h(t) is height in feet. How high does the
ball rise before starting to drop downward?
48 ft
O 100 ft
O 116 ft
O 64 ft

Answers

Answer:

The first one is: H=-6 and t=0

The second one is:16x(3t+4)

And i think the answer is:116

Step-by-step explanation:

Correct me if i'm wrong

PLEASE HELP THIS IS AN EMERGENCY!! Given f(x) = 3x2 - 6x + k, and the
remainder when f (x) is divided by X – 1
is 1, then what is the value of k?

Answers

Answer:

The values of

k are

(-4,2)

Step-by-step explanation:

sorry if wrong

You go to dinner with your family. The bill before tax is $60.00. How much is your bill when 7.25% tax added on?

Answers

$60*0.0725=4.35
$60.00+$4.35=$64.35

Please help!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

b is 100

Step-by-step explanation:

Answer:

Average is 100

Median is 87.5

Step-by-step explanation:

For average you add up all numbers and divide by how many there are, in this case all numbers added together equals 600, then you divide by 6.

For median, you put the valuse from least to greatest and find the number in the middle, for these numbers, there are 2, 75 and 100, so you add those together and divide them by 2.

HELPPPPP FAST PLEASEEEEEEEEEEEE

Answers

Answer:

45?

Step-by-step explanation:

if y=3 sin (-4x), find dy/dx​

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the derivatives.

Hence, y = 3 sin(-4x), we use the chain rule here.

dy/dx =3 ( cos(-4x).-4)

====> dy/dx = -12 cos(-4x)

The hypotenuse of a 30 -60 -90 triangle is 13cm. What is the length of the shorter leg?

Answers

Answer:

(13/2) cm

Step-by-step explanation:

The hypotenuse here is of length 13 cm.  The shorter leg lies opposite to the 30° angle.  Recall that the sine function is defined as

              opposite side

sin Ф = -----------------------

                 hypotenuse

which, in this case, works out to:

                opposite side

sin 30° = -----------------------

                       13 cm

and so the length of the opposite side (which is also the "shorter leg") is

shorter leg length = (13 cm)(sin 30°) = (13 cm)(1/2) = (13/2) cm

How are you really? 100 points, Be honest.

Answers

Answer:

Why are you wasting your points? LOL XD

Step-by-step explanation:

Answer:

Good

Step-by-step explanation:

The figure is not drawn to scale. PQ and MN are straight lines.
Find ZZ
helpppp

Answers

180-135=45

45+z+87=180
132+z=180
z=48

PLEASE HELP!!!!! 50 POINTS!!!! REAL ANSWERS ONLY!!!!!! PLEASE HELP!!!!!! I NEED TO GET THIS DONE

finding angle measures with trig. Find the missing angle measures. Round to the nearest whole number​​

Answers

Answer:

#1

30° as opposite side is half of the hypotenuse

#2

7/16 = tan xx = arctan (7/16) = 24°

#3

31/50 = tan xx = arctan (31/50) = 32°

#4

5/7 = cos xx = arccos (5/7) = 44°

#5

4/14 = sin xx = arcsin (4/14) = 17°

#6

6/7 = cos xx = arccos (6/7) = 31°

#7

29/37 = tan xx = arctan (29/37) = 38°

#8

43/60 = sin xx = arcsin (43/60) = 46°

#9

32/44 = cos xx = arccos (32/44) = 43°

Answer:

let angle be x

Step-by-step explanation:

relationship between perpendicular and hypotenuse is given by sin angle

sin x =p/h

sin x=13/26

x=sin-¹(13/26)=30°

2.relationship between perpendicular and base is given by tan angle

tan x =p/b

tan x =7/16

x=tan -¹(7/16)=23.63°

3.relationship between between perpendicular and base is given by tan angle

tan x =p/b

tanx=31/50

x=tan-¹(31/50)=31.8°

4.relationship between base and hypotenuse is given by cos angle

cos x =b/h

cos x=5/7

x=cos-1(5/7)=44.4°

5.relationship between perpendicular and hypotenuse is given by sin angle

sin x =p/h

sin x=4/14

x=sin-¹(4/14)=16.6

6..relationship between base and hypotenuse is given by cos angle

cos x=6/7

x=cos-¹(6/7)=31.0027

7.relationship between perpendicular and base is given by tan angle

.tanx=29/37

x=tan-¹(29/37)=38.09

8.relationship between perpendicular and hypotenuse is given by sin angle

.sin x=43/60

x=sin-¹(43/60)=45.78

9..relationship between base and hypotenuse is given by cos angle

cos x=32/44

x=cos-¹(32/44)=43.34

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