Find the 43rd term in the sequence: -6, -3, 0,...

Answer:

Step-by-step explanation:

9x²-3x-10=0

[tex]x=\frac{3\pm \sqrt{(-3)^2-4*9*(-10)} }{2*9} \\=\frac{3\pm\sqrt{9+360} }{18} \\=\frac{3 \pm3\sqrt{41} }{18} \\or~x=\frac{1\pm\sqrt{41} }{6}[/tex]

Answer:

2.5

Step-by-step explanation:

[tex] \frac{u}{11} = \frac{3}{13} \\ \\ u = \frac{3 \times 11}{13} \\ \\ \\ \\ u = \frac{33}{13} \\ \\ u = 2.53846154 \\ \\ u \approx2.5[/tex]

Answer: 22

Step-by-step explanation:

Solve for x

   1/2x + 7 = 18

Combine 1/2 and x.

  x/2+ 7 = 18

Move all terms not containing x to the right side of the equation.

Subtract 7 from both sides of the equation.

  x/2= 18 − 7

  x/2 = 11

Multiply both sides of the equation by 2.

  2 ⋅ x/2 = 2 ⋅ 11

Simplify both sides of the equation.

Cancel the common factor of 2.

  x = 2 ⋅ 11

Multiply 2 by 11.

  x = 22

Answer:

[tex]\displaystyle 73[/tex]

Step-by-step explanation:

According to this model, both pairs of angles are congruent, therefore the long leg [ED] is ALSO congruent to GD.

I am joyous to assist you at any time.

Answer:

(9, 0)

(-9, 0)

(0, 9)

(0, -9)

Step-by-step explanation:

Answer:

The value of f(x) is -2 at x = 0, and the value of f(-2) = -5.

Step-by-step explanation:

✔️The value of f(x) is -2 also means y = -2.

So, looking at the graph, the corresponding value of x when y = -2 is x = 0.

✔️The value of f(-2) is the same thing as asking what the corresponding y-value of x would be at x = -2.

From the graph, at x = -2, the corresponding y-value is -5.

Answer:

cv vfgvbgfgvd

Step-by-step explanation:

Answer:

option d

Step-by-step explanation:

6-,|-2|,|-4|,5,|9|

Answer:

-6,-4,-2,5,9 =a

the answer is a

Answer:

x = -1

Step-by-step explanation:

3x + 1 = -2

Subtract 1 from both sides.

3x = -2 - 1

Simplify -2 - 1 to 3.

3x = -3

Divide both sides by 3.

x = -1

Answer

1=62

2=45

3=24

Angle 1

1 plus 118 equals 180 degrees (because both of the angles combined creates a straight angle).

1+118=180

180-118=1

1=62

Angle 2

The angles in a triangle add up to 180 degrees.

You know that angle 1 is 62 degrees.

And the other angle is 73 degrees.

You can now find angle 2.

62+73+2=180

2=180-62-73

2=45

Angle 3

Angle three is in a different triangle.

You already know that the angles in a triangle added up are 180 degrees.

The other missing angle in the triangle can be found by subtracting 73 from 180.

180-73=107

Now you know that two of the angles in the triangle are 107 and 49.

You can now find angle 3.

107+49+3=180

3=180-107-49

3=24

Answer:

Stuck on it

Step-by-step explanation:

Answer:

A=2822

Step-by-step explanation:

A+3178=6000

A=6000-3178

A=2822

Answer:

I have no clue what part B is asking because I can't read it, but here is part A!

AB/PQ = 2/3

AC/PR = 2/3

BC/QR = 2/3

Step-by-step explanation:

Since it says that the tiangles are similar, then it means that AB=PQ, AC=PR, BC=QR.

So, AB/PQ = 6/9 = 2/3

And, AC/PR = 8/12 = 2/3

Also,  BC/QR = 10/15 = 2/3

Answer: 33/2 and 96/11.

Step-by-step explanation:

The ratio of the distance Tamar travels to the distance Melkon travels:

[tex]\dfrac{12}{\frac{8}{11} } =\dfrac{12 \cdot 11}{8} =\dfrac{132}{8} =\dfrac{33 \cdot 4}{2 \cdot 4} =\dfrac{33}{2}[/tex]

The ratio of the distance Melkon travels to the distance Tamar travels:

[tex]\dfrac{\frac{8}{11} }{12} =\dfrac{8 \cdot 12}{11} =\dfrac{96}{11}[/tex]

Answer:

slope = 1/2

Step-by-step explanation:

[tex]\frac{rise}{run}[/tex] = [tex]\frac{1}{2}[/tex]

Answer:

a.   Slope of f(x) is greater than g(x)

b.   y-intercept of f(x) is less than the y-intercept of g

Step-by-step explanation:

                                               Function f(x)

Given the function f(x)

x            f(x)

-3          -0.5

-2           0

-1            0.5

0             1

Finding the slope between any two points

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-3,\:-0.5\right),\:\left(x_2,\:y_2\right)=\left(-2,\:0\right)[/tex]

[tex]m=\frac{0-\left(-0.5\right)}{-2-\left(-3\right)}[/tex]

[tex]m=0.5[/tex]

Thus,

The slope of f(x) = 0.5

We know that the value of the y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

From the given point (0, 1), we can easily observe that at x = 0, the value of y = 1.

Thus, the y-intercept of f(x) = 1

                                             Function g(x)

Taking two points from the given graph of g(x)

Finding the slope between (1, 0) and (0, 2)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(1,\:0\right),\:\left(x_2,\:y_2\right)=\left(0,\:2\right)[/tex]

[tex]m=\frac{2-0}{0-1}[/tex]

Refine

[tex]m=-2[/tex]

Thus,

The slope of g(x)  = -2

We know that the value of the y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

From the given point (0, 2), we can easily observe that at x = 0, the value of y = 2.

Thus, the y-intercept of g(x) = 2

Conclusion:

FOR function f(x)

The slope of f(x) = 0.5

The y-intercept of f(x) = 1

FOR function gx)

The slope of g(x) = -2

The y-intercept of g(x) = 2

Thus:

a.   Slope of f(x) is greater than g(x)

b.   y-intercept of f(x) is less than the y-intercept of g

Answer:

x = 35°

∠Q = 127°

∠R = 35°

 ∠P  = 18°

Step-by-step explanation:

x + 2x + 57 + x - 17 = 180  {Angle sum property of triangle}

x + 2x + x +57 -17 = 180            {Combine like terms}

         4x  + 40      = 180

                      4x  = 180 - 40

                      4x = 140

                         x = 140/4

                       x = 35

∠Q = 2x + 57 = 2*35 + 57 = 70 +57 = 127°

∠R = x = 35°

∠P = x - 17 = 35 - 17 = 18°

Answer:

-13=4y+3 -3

-16=4y ÷4

-4=y

Step-by-step explanation:

hope it helps ^^

Answer:

y = -4

explenation in picture

Answer: 300:700

Step-by-step explanation:

If you have a 3:7 ratio and you multiply the 3 by 100, you would also have to multiply the 7 by 100, giving you a 300:700 ratio. Plz note I could be wrong but I believe that is the answer you are looking for

Answer:

Energy is transferred between the Earth's surface and the atmosphere in a variety of ways, including radiation, conduction, and convection. Conduction is one of the three main ways that heat energy moves from place to place.

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

I simplified before multiplying

8/12=2/3

2/3*3/8

Cross simplilify and get

1*1/4

1/4

Answer:

19.95

Step-by-step explanation:

if you take 1.05 times it by 19 you get your answer

Answer:

7 sheets of paper

Step-by-step explanation:

$40-$19=$21

$21/$3=7 sheets of paper.

In words:

I did 40 minus 19 to get 21, and the divided 21 by 3 to get 7 sheets of paper.

Answer:

70,110,110,110

Step-by-step explanation:

I'm Asian and I was less than 5 minutes

Answer:

Yes they are similar

Step-by-step explanation:

They have the same measurements adding up to 180.

Triangle RST angles are 120, 20, and 40

Triangle JKL angles are 120, 40, 20

Those are the same numbers.