Find the slope of the line containing the points (-2, -8) and (6,-4).

Answer: D

Step-by-step explanation:

Answer: D

Step-by-step explanation:

Answer:

2x+y-16=0

Step-by-step explanation:

using point slope form.

The linear function rule that has a slope of –2 and a solution at (–5, 16) will be y = –2x + 6.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

The equation of line is given as

y = mx + c

Where m is the slope and c is the y-intercept.

The slope of the line is negative 2. Then the equation of the line will be

y = –2x + c

And the solution of the line is (–5, 16).

Then this point will satisfy the equation of the line.

Then the value of c will be

16 = –2(–5) + c

16 = 10 + c

c = 16 – 10

c = 6

Substitute the value of c in the equation of line.

Then the equation of line will be

y = –2x + 6

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Answer:

25 workers

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

,

The cost of each taco for the given problem is $5.

A system of linear equations can be defined as a number of equations needed to solve the equations. For n number of variables n number of equations are required.

Given that,

The cost of 2 tacos and 5 drinks cost is $20.

And, the cost of 3 tacos and 5 drinks cost is $25.

Suppose the cost of each taco and drink be x and y respectively.

Then the following equations can be written for the given case,

2x + 5y = 20         (1)

3x + 5y = 25         (2)

Subtract equation (1) from (2) to obtain,

3x + 5y - (2x + 5y) = 25 - 20

=> x = 5

Hence, the cost of a taco is $5.

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Answer:

6x+4y=12

Step-by-step explanation:

when x-intercept is 0

6(0)+4y=12

0+4y=12

divide by 4 both side

y=3

when y-intercept is 0

6x+4(0)=12

6x+0=12

6x=12

divide by 6 both side

x=2

Answer:

if we do 9 times a number that will be

9x

Answer:

9x

Step-by-step explanation:

9 times a number (a variable)  = 9x

Step-by-step explanation:

sec⁴B - sec²B = sec²B(sec²B - 1)

= (1 + tan²B)(tan²B)

= tan⁴B + tan²B

= Right-hand side (Proven)

Answer:

C

Domain (-x,x): (-inf, inf)

Range (-y,y): [1, 0)

Step-by-step explanation:

Domain is -x to x which is the lowest x value marked to the parabola to the highest. Since their are arrows indicating that the parabola continues both ways, the domain is infinite both ways. The range has the endpoint of one and the continuation of 0 (you can tell by the brackets [], (), [), or (]; [ <- endpoint; ( or ) <- continuation), the range is [1, 0).  :)

Se debe realizar 6 cortes sobre la tira.

Una Tira es una pieza de papel cuya longitud es mucho mayor que su anchura. Un Número Primo es un Número Natural que solo es divisible por 1 y por sí mismo, mientras que un Número Compuesto se compone de Números Primos y es divisible además por otros números, tanto Primos como Compuestos.

Realizamos el ejercicio siguiendo las siguientes consideraciones:

1) Escribimos los primeros 40 Números Naturales en orden ascendente.

2) El primer número del primer segmento de tira es el 1 y contiene a lo sumo dos Números Primos y termina en el Número Natural inmediatamente precedente a un Número Primo.

3) El resto de segmentos de tira comienza con un Número Primo, contiene a lo sumo dos Números Primos y termina en el Número Natural inmediatamente precedente a un Número Primo.

Los números primos entre 1 y 40 son 3, 5, 7, 11, 13, 17, 19, 21, 23, 29, 31, 33, 37.

Los segmentos de tira son los siguientes:

1) 1, 2, 3, 4 (1 número primo)

2) 5, 6, 7, 8, 9, 10 (2 números primos)

3) 11, 12, 13, 14, 15, 16 (2 números primos)

4) 17, 18, 19, 20 (2 números primos)

5) 21, 22, 23, 24, 25, 26, 27,28 (2 números primos)

6) 29, 30, 31, 32 (2 números primos)

7) 33, 34, 35, 36, 37, 38, 39, 40 (2 números primos)

El número de cortes ([tex]n[/tex]) se determina mediante la siguiente fórmula:

[tex]n = s - 1[/tex] (1)

Donde [tex]s[/tex] es el número de segmentos de tiras.

Si sabemos que hay 7 segmentos de tiras, entonces se debe realizar 6 cortes.

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Answer:

I doubt it is not going to be a great day of school

Answer:

288 cubic ft look at explanation, please give me a thanks if this answer helped!

Step-by-step explanation:

The volume of a pyramid is equal to to 1/3 bh

so first you would find the base which is the rectangle at the bottom

Base= 9 x 8= 72

height has already been given- 12

now your equation is 12 x 1/3 x 72

you can simplify 12 and 1/3 to 4

so now you would have 72 times 4

which is 288

Statistics is related to maths because we study, use and even consider statistic problems with reference to mathematics.

• It is mostly used to find the census, which is maths.

• It is used to find interest rates and other banking terms using statistics, which is again related to math.

• It is also used to find the average people living in a village or panchayat, which is also math.

Therefore I strongly believe that Statistics is Maths.

Thank You!

Answer:

√x-x-2x³+√x+x

= 2√x-2x³

= -2x³+2√x

which is option A

Answer:

5%

Step-by-step explanation:

given,

Earns= Rs 640

spends= Rs 608

saves= (Rs 640 - Rs 608)

=Rs 32

therefore, 32/640x100

answer = 5%

Answer From Gauth Math

Answer:

5%

Step-by-step explanation:

save=640-608=32

(32/640)*100%

5%

Answer:

x = -1.4 and x=2

Step-by-step explanation:

The solutions are where the graphs intersect

The graphs appear to intersect at x = -1.4 and x=2

Answer:

(1,2)

Step-by-step explanation:

x+4y = 9

2x -4y= -6

Add the equations together

x+4y = 9

2x -4y= -6

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

3x +0y = 3

3x=3

Divide by 3

3x/3 = 3/3

x=1

Now find y

x+4y = 9

1 +4y =9

Subtract 1 from each side

4y = 8

Divide by 4

4y/4 = 8/4

y =2

95141 1404 393

Answer:

Step-by-step explanation:

The length of an arc that subtends central angle α will be ...

  s = rα . . . . where α is in radians

The central angle BOC is twice the measure of angle QBC, so is 70°, or 7π/18 radians. So, the length of arc BC is ...

  s = (7 cm)(7π/18) ≈ 8.55 cm . . . arc BC

__

For central angle α and radius r, the chord subtending the arc is ...

  c = 2r·sin(α/2)

  c = 2(7 cm)sin(35°) ≈ 8.03 cm . . . . chord AB

Answer:

h = 6[tex]\sqrt{3}[/tex]

Step-by-step explanation:

The given is the special right triangle with angle measures : 90-60-30

and the side lengths for the given angles are represented by :

2a-a[tex]\sqrt{3}[/tex]-a

the side length that sees 60 degrees is represented by a[tex]\sqrt{3}[/tex] (h in this case)

the area of a triangle is calculated by multiplying height and base and that is divided by 2

a[tex]\sqrt{3}[/tex]*a/2 = 18[tex]\sqrt{3}[/tex] multiply both sides by 2

a^2[tex]\sqrt{3}[/tex] = 36[tex]\sqrt{3}[/tex] divide both sides by [tex]\sqrt{3}[/tex]

a^2 = 36 find the roots for both sides

a = 6

since h sees angle measure 60 and is represented by a[tex]\sqrt{3}[/tex]

h = 6[tex]\sqrt{3}[/tex]

Answer:

true

Step-by-step explanation:

if the width is w and the length is l then 6 more than the width is w+6 and that is equal to the length so l = w+6

Answer:

x=12

Step-by-step explanation:

3x/6 + 2 = 8

Subtract 2 from each side

3x/6 + 2-2 = 8-2

3x/6 =6

Multiply each side by 6/3

6/3 * 3/6 x = 6 *6/3

x = 36/3

x = 12

[tex]\large\bf{{\red{ \longrightarrow \:\large\rm{{\blue{ \frac{3x}{6} \: + \: 2 \: = \: 8 }}} }}} \\ [/tex]

[tex]\large\bf{{\red{ \longrightarrow \:\large\rm{{\blue{ \frac{3x}{6} \: = \: 8 \: - \: 2 }}} }}} \\ [/tex]

[tex]\large\bf{{\red{ \longrightarrow \:\large\rm{{\blue{ \frac{3x}{6} \: = \: 6 }}} }}} \\ [/tex]

[tex]\large\bf{{\red{ \longrightarrow \:\large\rm{{\blue{ \frac{3x}{6} \: + \: 6}}} }}} \\ [/tex]

[tex]\large\bf{{\red{ \longrightarrow \:\large\rm{{\blue{ \frac{3x \: + \: 36}{6} \:}}} }}} \\ [/tex]

[tex]\large\bf{{\red{ \longrightarrow \:\large\rm{{\blue{ \frac{3x \: + \: \cancel{36} \: \: ^{6} }{ \cancel6} \:}}} }}} \\ [/tex]

[tex]\large\bf{{\red{ \longrightarrow \:\large\rm{{\blue{ \: x \: = \: \frac{36}{6} }}} }}} \\ [/tex]

[tex]\large\bf{{\red{ \longrightarrow \:\large\rm{{\blue{ \: x \: = \: \cancel\frac{{36}{ \: ^{6} }} {6} }}} }}} \\ [/tex]

[tex]\large\bf{{\red{ \longrightarrow \:\large\rm{{\blue{ \: x \: = \: 6 }}} }}} \\ [/tex]

Answer:

321

Step-by-step explanation:

Answer:

1)17

2)33

3)9

4)27

5)1252

6)50

Step-by-step explanation:

Answer:

y + 163 = 41

Step-by-step explanation:

I think you are correct. It should be y + 163 = 41

Answer:

[tex]i)36\\ii)7[/tex]

Step-by-step explanation:

[tex]i) As\ our\ first\ expression,\ we\ have:\\ab^2\\Substituting\ a=4, b=-3:\\ab^2=4*(-3)^2=4*-3*-3=4*9=36\\ii)Next,\ we\ have:\\(a-b)(a+b)\\Hence,\\Substituting\ a=4,\ b=-3:\\(a-b)(a+b)=(4-3)(4+3)=1*7=7\\Note:\\You\ can\ also\ use\ the\ algebraic\ identity: (a+b)(a-b)=a^2-b^2[/tex]

Answer:

Given that, a = 4 and b = -3

Now,

For the first equation, recall that sin²(θ) = (1 - cos(2θ))/2. Then

2 sin²(θ) = 2 + cos(2θ)

1 - cos(2θ) = 2 + cos(2θ)

2 cos(2θ) = -1

cos(2θ) = -1/2

2θ = arccos(-1/2) + 2nπ   or   2θ = 2π - arccos(-1/2) + 2nπ

(where n is any integer)

2θ = 2π/3 + 2nπ   or   2θ = 4π/3 + 2nπ

θ = π/3 + nπ   or   θ = 2π/3 + nπ

In the interval [0, 2π), the solutions are θ = π/3, 2π/3, 4π/3, 5π/3.

For the second equation, rearrange the previous identity to arrive at

cos(2θ) = 1 - 2 sin²(θ) = 2 cos²(θ) - 1

Then

cos(2θ) + 7 cos(θ) = 8

2 cos²(θ) - 1 + 7 cos(θ) = 8

2 cos²(θ) + 7 cos(θ) - 9 = 0

(2 cos(θ) + 9) (cos(θ) - 1) = 0

2 cos(θ) + 9 = 0   or   cos(θ) - 1 = 0

cos(θ) = -9/2   or   cos(θ) = 1

Since |-9/2| > 1, and cos(θ) is bounded between -1 and 1, the first case offers no solutions. This leaves us with

cos(θ) = 1

θ = arccos(1) + 2nπ

θ = 2nπ

so that there is only one solution in [0, 2π), θ = 0.

Answer:

it's answer is

[tex] \frac{25}{18} [/tex]

Answer:

[tex]f=-\frac{15}{4}[/tex]

Step-by-step explanation:

The first thing to do when solving any equation is to isolate the unknown variable. In this case we should start by trying to isolate f on the left side. We can do this by subtracting 1/4 from both sides, as this will move it to the other side while keeping the equation equal:

[tex]f+\frac{1}{4} =-\frac{7}{2} \\\\f+\frac{1}{4} -\frac{1}{4} =-\frac{7}{2} -\frac{1}{4} \\\\f=-\frac{7}{2} -\frac{1}{4}[/tex]

Now that we have isolated the f, we can simplify the other side. We can't subtract them right away as they have different denominators, but we can solve this by multiplying the 7/2 by 2 so that its denominator is 4, allowing us to subtract the numerators:

[tex]f=-\frac{7}{2} -\frac{1}{4} \\\\f=-\frac{7*2}{2*2} -\frac{1}{4} \\\\f=-\frac{14}{4}-\frac{1}{4} \\\\f=\frac{-14-1}{4} \\\\f=-\frac{15}{4}[/tex]

Hope this helped!

Answer:

0.966

Step-by-step explanation:

When typed into a calculator, sin75 = -0.3877816354

Upon converting to degrees, the full answer is 0.96592582628

Answer:

16.67 or 17 when rounded to nearest dollar

Step-by-step explanation:

$650 x .85 (100%-15% discount) = 552.50 cost of bike on sale

552.50 x 1.0558 (100% + 5.58% tax) = 583.33 cost with tax added.

$600 - 583.33 = $16.67 money left over