Solve the following quadratic equation for all values of x in simplest form.

Answer:

b

Step-by-step explanation:

Answer:

44cm

Step-by-step explanation:

Answer:

44 cm

Step-by-step explanation:

Answer:

The Answer is 14 feet. your answer

Answer:no they aren’t linear

Step-by-step explanation:

Linear is a equal rate everytime this seems to be adding 1 on the y value for each x value

Answer: No

Step-by-step explanation: The y values don’t go up by the same number each time

Answer:

2g - 5 = 1/2(m) + 6

Step-by-step explanation:

Let Garrett's age be g and Mary's m. Hint: "is" in these type of word problems will typically be the equation's "=" sign.

2g - 5 = 1/2(m) + 6

Answer:

Step-by-step explanation:

Answer:

The value of P(B) = 0.5

Step-by-step explanation:

Given:

Value of P(A and B) = 0.20

Value of P(A|B) = 0.40

Find:

The value of P(B)

Computation:

P(A and B) = P(A|B) x P(B)

By putting value of P(A and B)  and P(A|B)

⇒ 0.20 = 0.40 x P(B)

⇒ The value of P(B) = 0.20 / 0.40

⇒ The value of P(B) = 20 / 40

⇒ The value of P(B) = 1 / 2

The value of P(B) = 0.5

Answer:

false

Step-by-step explanation:

solid A surface area-112

solid B surface area-136

to find the surface area of a rectangular prism the equation is  2(lw + lh + wh)

Solid A  4*8+4*2+8*2

32+8+16

56*2=112

Solid B 2*2+2*16+2*16

4+32+32

68*2=136

Answer:

2 1/4

Step-by-step explanation:

SOL Review question 4

Adana made key chains for her friends out of string.  She started with 2 1/6  feet of red string, 3 1/4 of yellow string, and 5 1/2 feet of green string. If Adana used a total of 8 2/3 feed of string on the key chains, How much string remains unused.

It would be 2 1/4 because you convert all the factions denominators to 12. 2 1/6 becomes 2 2/12, 3 1/4 becomes 3 3/12, 5 1/2 becomes 5 6/12, and 6 2/3 becomes 8 8/12. add 2 2/12, 3 3/12, and 5 6/12 and you get 10 11/12 and then you subtract 10 11/12 and 8 8/12 (10 11/12 - 8 8/12) and get 2 3/12. when you get that answer, convert it by 3 and you get 2 1/4.

I hope this was helpful.

9514 1404 393

Answer:

  (b)  80°

Step-by-step explanation:

The relevant trig relation is ...

  Cos = Adjacent/Hypotenuse

The 1.5 meter distance to the wall is the side adjacent to the angle with the ground. The 9 m length of the ladder is the hypotenuse of the triangle modeling this situation.

  cos(angle) = 1.5/9 = 1/6

  angle = arccos(1/6) ≈ 80.4°

The angle between the ladder and the ground is about 80°.

_____

Additional comment

The Ladder Association recommends an angle of 75° for safety. At 80°, the ladder may have a tendency to tip the user backward.

Answer:

when u distribute a number you are basically giving the number off and multiplying other factors by that number

Step-by-step explanation:

3(x+4) ( distribute the 3 ) so u would multiply the 3 by both factors ( the x and the 4) getting 3x+12

Answer: The answer is C

Step-by-step explanation:

The reason is because if you make a line in between it would be symetrical (up, down, left, right).

Answer:

The answer is 9^1 or simply 9.

Answer:

Rectangular route

Step-by-step explanation:

Given

H(-4, 3)    B (2, 11)   F (6, 8)   C (0, 0)

Required

The type of route

First, calculate the distance between adjacent points i.e. HB, BF, FC and CH

Where

HB and FC are opposite

BF and CH are opposite

Using distance formula:

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

So, we have:

HB

[tex]H =(-4, 3) \to (x_1,y_1)[/tex]

[tex]B = (2, 11) \to (x_2,y_2)[/tex]

[tex]HB = \sqrt{(-4- 2)^2 + (3 -11)^2}= \sqrt{(-6)^2 + (-8)^2} = \sqrt{36 + 64} = \sqrt{100} = 10[/tex]

BF

[tex]B = (2, 11) \to (x_1,y_1)[/tex]

[tex]F = (6, 8) \to (x_2,y_2)[/tex]

[tex]BF = \sqrt{(2- 6)^2 + (11 -8)^2}= \sqrt{(-4)^2 + (3)^2} = \sqrt{16 + 9} = \sqrt{25} = 5[/tex]

FC

[tex]F = (6, 8) \to (x_1,y_1)[/tex]

[tex]C =(0, 0) \to (x_2,y_2)[/tex]

[tex]FC = \sqrt{(6- 0)^2 + (8 -0)^2}= \sqrt{(6)^2 + (8)^2} = \sqrt{36 + 64} = \sqrt{100} = 10[/tex]

CH

[tex]C =(0, 0) \to (x_1,y_1)[/tex]

[tex]H =(-4, 3) \to (x_2,y_2)[/tex]

[tex]CH = \sqrt{(0-- 4)^2 + (0 -3)^2}= \sqrt{(4)^2 + (-3)^2} = \sqrt{16 + 9} = \sqrt{25} = 5[/tex]

So, we have:

[tex]HB = FC = 10[/tex]

[tex]BF = CF = 5[/tex]

Sine the opposite sides are equal; We can conclude that the route is a rectangle

Answer:

Pascal triangle is infinite, and the answer to this question is the 1,9,6,84,126,126,84,36,9,1

Step-by-step explanation:

in the pascal triangle the first row start with 0.

Answer:

collection of information

Step-by-step explanation:

Science can be defined as a branch of intellectual and practical study which systematically observe a body of fact in relation to the structure and behavior of non-living and living organisms (animals, plants and humans) in the natural world through experiments.

Pseudoscience can be defined as a collection of theories, methodology, practices and beliefs about the universe that are mistakenly, purportedly or erroneously regarded as scientific but in true sense isn't backed up by evidence (facts) and fails to comply with any scientific model.

However, a common characteristic of both science and pseudoscience is that both fields deals with the collection of information.

In conclusion, pseudoscience is considered to be subjective while science is objective.

Answer:

collection of information

Step-by-step explanation:

Science can be defined as a branch of intellectual and practical study which systematically observes a body of fact in relation to the structure and behavior of non-living and living organisms (animals, plants and humans) in the natural world through experiments.

Pseudoscience can be defined as a collection of theories, methodology, practices and beliefs about the universe that are mistakenly, purportedly or erroneously regarded as scientific but in true sense isn't backed up by evidence (facts) and fails to comply with any scientific model.

However, a common characteristic of both science and pseudoscience is that both fields deals with the collection of information.

In conclusion, pseudoscience is considered to be subjective while science is objective.

Answer:

The answer is 12 feet. .

Step-by-step explanation:

You have to multiply 3/4 or 0.75 by the number of tiles. So you would go, 0.75 x 10 and then 0.75 x 6 and add the answers together.

Answer:

8(6x + 7)

Step-by-step explanation:

Find a factor for both of the numbers (8)

Place the remaining numbers in a bracket (6x +7)

Place the 8 outside the bracket

8 (6x + 7)

Have a good day :)

Answer:

All you have to do is factor like this. It is also know as common factoring.

48x+54

8(6x+7)  You chose the eight because it fits into 48 and 54. So you find the multiple of 8 to get the total of 48. And that is 6 and for 54 it would turn out to be 7. So the answer would be  8(6x+7)

Step-by-step explanation:

Hope this helps!

Answer:

Los números son: 13, 14, y 15.

Step-by-step explanation:

Un número de dos cifras puede escribirse como:

a*10 + b

Donde a y b son números entre 0 y 9.

3 números consecutivos entonces se escribe como:

a*10 + b

a*10 + b + 1

a*10 + b + 2

El producto de esos 3 números será:

(a*10 + b)*(a*10 + b + 1)*(a*10 + b + 2) = 2,730, pero sabemos que hay 20 corredores, entonces el máximo número de dos cifras posibles es 20.

Esto nos obliga a tomar a = 1  (porque si a fuera igual a dos, tendríamos números mayores a 20)

Entonces la ecuación es:

(1*10 + b)*(1*10 + b + 1)*(1*10 + b + 2) = 2,730

(10 + b)*(11 + b)*(12 + b) = 2,730

(110 + 21b + b^2)*(12 +b) = 2,730

1,320 + 110*b + 252*b + 21*b^2 + 12*b^2 + b^3 = 2,730

b^3 + 33*b^2 + 362*b + 1,320 - 2,730 = 0

b^3 + 33*b^2 + 362*b - 1,410 = 0

Ahora, sabemos que b tiene que ser un número entero entre 0 y 9, entonces simplemente podemos ir probando con distintos valores de b y ver cuál es solución de esa ecuación.

b = 0

0^3 + 33*0^2 + 362*0 - 1,410 = 0

-1,410 = 0  

b = 0 no es una solución.

b = 1

1^3 + 33*1^2 + 362*1 - 1,410 = 0

-1,014 = 0

b = 1 no es una solución.

b = 2

2^3 + 33*2^2 + 362*2 - 1,410 = 0

-546 = 0

b = 2 no es una solución

b = 3

3^3 + 33*3^2 + 362*3 - 1,410 = 0

27 + 297 + 1,086 - 1,410 = 0

0 = 0

b = 3 es una solución.

Entonces los 3 números consecutivos son:

10 + 3 = 13

10 + 3 + 1 = 14

10 + 3 + 2 = 15

Answer:

the answer interm of pie will be 18π

Step-by-step explanation:

circumference of circle is given as πD where D is the diameter , we have been given diameter as 18 , hence c=πD will be 18π

Answer:

33.33 percent or 2:4

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 3 , then

y = 3x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation.

Using (4, 10 ) , then

10 = 12 + c ⇒ c = 10 - 12 = - 2 → B

D

Given m = 4 then

y = 4x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (3, 19 ), then

19 = 12 + c ⇒ c = 19 - 12 = 7 → D

Answer:

I think A or D but i'm stuck on D

Step-by-step explanation:

Answer:

D because if you multiply all the other brands to get a 100oz they are more expensive/ high than D.

Answer:

when a is negative, the parabola opens downward

Step-by-step explanation:

Answer:

See Below.

Step-by-step explanation:

Problem 1)

We want to verify that:

[tex]\displaystyle \left(\cos(x)\right)\left(\cot(x)\right)=\csc(x)-\sin(x)[/tex]

Note that cot(x) = cos(x) / sin(x). Hence:

[tex]\displaystyle \left(\cos(x)\right)\left(\frac{\cos(x)}{\sin(x)}\right)=\csc(x)-\sin(x)[/tex]

Multiply:

[tex]\displaystyle \frac{\cos^2(x)}{\sin(x)}=\csc(x)-\sin(x)[/tex]

Recall that Pythagorean Identity: sin²(x) + cos²(x) = 1 or cos²(x) = 1 - sin²(x). Substitute:

[tex]\displaystyle \frac{1-\sin^2(x)}{\sin(x)}=\csc(x)-\sin(x)[/tex]

Split:

[tex]\displaystyle \frac{1}{\sin(x)}-\frac{\sin^2(x)}{\sin(x)}=\csc(x)-\sin(x)[/tex]

Simplify:

[tex]\csc(x)-\sin(x)=\csc(x)-\sin(x)[/tex]

Problem 2)

We want to verify that:

[tex]\displaystyle (\csc(x)-\cot(x))^2=\frac{1-\cos(x)}{1+\cos(x)}[/tex]

Square:

[tex]\displaystyle \csc^2(x)-2\csc(x)\cot(x)+\cot^2(x)=\frac{1-\cos(x)}{1+\cos(x)}[/tex]

Convert csc(x) to 1 / sin(x) and cot(x) to cos(x) / sin(x). Thus:

[tex]\displaystyle \frac{1}{\sin^2(x)}-\frac{2\cos(x)}{\sin^2(x)}+\frac{\cos^2(x)}{\sin^2(x)}=\frac{1-\cos(x)}{1+\cos(x)}[/tex]

Factor out the sin²(x) from the denominator:

[tex]\displaystyle \frac{1}{\sin^2(x)}\left(1-2\cos(x)+\cos^2(x)\right)=\frac{1-\cos(x)}{1+\cos(x)}[/tex]

Factor (perfect square trinomial):

[tex]\displaystyle \frac{1}{\sin^2(x)}\left((\cos(x)-1)^2\right)=\frac{1-\cos(x)}{1+\cos(x)}[/tex]

Using the Pythagorean Identity, we know that sin²(x) = 1 - cos²(x). Hence:

[tex]\displaystyle \frac{(\cos(x)-1)^2}{1-\cos^2(x)}=\frac{1-\cos(x)}{1+\cos(x)}[/tex]

Factor (difference of two squares):

[tex]\displaystyle \frac{(\cos(x)-1)^2}{(1-\cos(x))(1+\cos(x))}=\frac{1-\cos(x)}{1+\cos(x)}[/tex]

Factor out a negative from the first factor in the denominator:

[tex]\displaystyle \frac{(\cos(x)-1)^2}{-(\cos(x)-1)(1+\cos(x))}=\frac{1-\cos(x)}{1+\cos(x)}[/tex]

Cancel:

[tex]\displaystyle \frac{\cos(x)-1}{-(1+\cos(x))}=\frac{1-\cos(x)}{1+\cos(x)}[/tex]

Distribute the negative into the numerator. Therefore:

[tex]\displaystyle \frac{1-\cos(x)}{1+\cos(x)}=\displaystyle \frac{1-\cos(x)}{1+\cos(x)}[/tex]

Answer:

Step-by-step explanation:

10^8

it means multiply 10 8 times so

10*10*10*10*10*10*10*10

=100000000

Answer:

Elisa y Romina comieron 5/16 de la pizza completa cada una.

Step-by-step explanation:

Dado que Elisa y Romina tienen 5/8 de pizza y decidieron dividírsela en partes iguales, para determinar qué parte de la pizza completa le tocó a cada una se debe realizar el siguiente calculo:

(5/2) / 8 = X

2.5 / 8 = X

0.3125 = X

0.3125 = 5/16

Por lo tanto, Elisa y Romina comieron 5/16 de la pizza completa cada una.

Answer:  Graph D (bottom right corner)

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

Explanation:

The equation y = 3x+3 is in slope intercept form y = mx+b

m = 3 = slope

b = 3 = y intercept

In this case, both the slope and y intercept are the same (though in general they tend not to be).

The positive slope value means the line goes uphill as you move from left to right. The positive y intercept means the diagonal line crosses the y axis somewhere above the horizontal x axis. Specifically, it crosses the y axis at y = 3

Graph D is the only graph that has such a line on it. Graphs A, B and C have the positive slope line where they have a negative y intercept, so we can rule them out.

You can use graphing tools such as Desmos or Geogebra to help confirm this answer. You could also make a table of values, and plot each point, to form the lines. Two points is the minimum amount needed to form any line.

Answer:

Step-by-step explanation:

Answer:

See picture attached below.

Step-by-step explanation:

To graph the system, graph each line separately.

y = 3x + 3 ha slope 3 and y-intercept 3.

Start at 3 on the y-axis and mark a point. Then from this point move up 3 units and to the right 1 unit. Mark a point and connect.

y=-x - 3 has slope -1 and y-intercept -3.

Start at -3 on the y-axis and mark a point. Then from this point move down 1 unit and to the right 1 unit. Mark a point and connect.

This graph is represented in the picture attached.

...............................................................................................................................................

Which graph represents the following system of equations?

y = 3x + 3

y = –x – 3

...............................................................................................................................................

y=x−8

​y=12x−5​

...............................................................................................................................................

Graph of 2 lines that intersect at one point. Both lines are solid. One line passes through (-2,2) and (0,3) and is shaded below the line.

y < = 1/2x + 3...(-2,2)                y < = 1/2x + 3....(0,3)

2 < = 1/2(-2) + 3                        3 < = 1/2(0) + 3

2 < = -1 + 3                                3 < = 0 + 3

2 < = 2 (correct)                        3 < = 3 (correct)

The other line passes through points (0,1) and (1,-2) and is shaded above the line.

y > = -3x + 1...(0,1)            y > = -3x + 1...(1,-2)

1 > = -3(0) + 1                   -2 > = -3(1) + 1

1 > = 0 + 1                         -2 > = -3 + 1

1 > = 1 (correct)                 -2 > = -2 (correct)

...............................................................................................................................................

we have

using a graph tool

see the attached figure

The solution of the system is the shaded area

we know that

The line is solid

The line passes through points  and  and is shaded above the line.

The line is solid

The line passes through points  and  and is shaded below the line

The two lines intersect at one point

therefore

the answer is the option

B) Graph of two lines that intersect at one point. Both lines are solid. One line passes through points negative 2, 2 and 0, 3 and is shaded below the line. The other line passes through points 0, 1 and 1, negative 2 and is shaded above the line.