Consider the first 2 terms of the sequence -6, 18,...
1. Determine the next 5 terms in the sequence if the sequence is arithmetic. Then write a function to
represent the arithmetic sequence.
2. Determine the next 5 terms in the sequence if the sequence is geometric. Then write a function to
represent the geometric sequence.

Answer:

The relation is:

cosec^2(a) - cot^2(a) = 1.

Where:

cosec(x) = 1/sin(x)

cot(x) = 1/tan(x) = cos(x)/sin(x)

Let's prove this.

Ok, we know by the Pythagorean theorem, that:

r^2 = x^2 + y^2

And we have the trigonometric relations, for an angle "a" measured from the x-axis

cos(a) = x/r

sin(a) = y/r

tan(a) = y/x

Where r is the hypotenuse, x and y are the catheti.

Now, let's divide the  Pythagorean theorem by y^2 in both sides to get:

(r^2/y^2) = (x^2 + y^2)/y^2

r^2/x^2 = x^2/y^2 + y^2/y^2

r^2/y^2 = 1 + x^2/y^2

(r/y)^2 = 1 + (x/y)^2

and remember that:

y/r = sin(a)

then:

r/y = 1/sin(a) = cosec(a)

(r/y)^2 = cosec^2(a)

and:

y/x = tan(a)

then:

x/y = 1/tan(a) = cot(a)

and:

(x/y)^2 = cot^2(a)

replacing these in the equation (r/y)^2 = 1 + (x/y)^2 we get:

cosec^2(a) = 1 + cot^2(a)

cosec^2(a) -  cot^2(a) = 1

Answer: 4). 35,56,89

Step-by-step explanation: for a triangle to be acute all three angles have to measure below 90 degrees

Answer:

your answer would be 4 or D

Step-by-step explanation:

a acute angle is and angle from 30-89

a 90 degree angle is just 90 degrees

and an obtuse angle is 91-130

so therefore you have your answer

D or 4

mark me brainiest

thanks for the points too

anddddd

sparkled and love

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Answer: See explanation

Step-by-step explanation:

2. [tex]6^{5}[/tex]

4. [tex]3^{9}[/tex]

6. [tex]9^{3}[/tex]

8.[tex]\frac{2}{5} ^{2}[/tex]

Answer:

[tex]6^{5} \\3^{9} \\9^{3} \\\frac{2}{5} ^{2}[/tex]

Step-by-step explanation:

Answer:

[tex]y = 8x[/tex]

Step-by-step explanation:

Find slope by using Rise/Run.

Use two coordinate points that are part of the graph.

(0,0) and (2,16)

[tex]m = \frac{16 - 0}{2 - 0} \\ m = \frac{16}{2} \\ m = 8[/tex]

We have the slope. We need to find the y-intercept.

From the graph, the graph passes y-axis (0,0). Therefore the y-intercept is at (0,0)

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

[tex]m = 8 \\ b = 0[/tex]

Substitute m = 8 and b = 0 in the equation.

[tex]y = 8x + 0 \\ y = 8x[/tex]

Diagram attached

Answer:

5.5+106 square inches

Step-by-step explanation:

The wooden frame has different shapes- semi circle, rectangles  and we would have to calculate area of all the shapes to get the wood required.

To get area of the circle, we use the formula π(R²-r²)/2. Subtract the inner radius from the outer radius =

π(6²-5²)/2= 11π/2

=5.5π square inches

We add area of the semi circle to area of the 3 rectangles from the diagram:

2×1×48×10×1=106 square inches

The rectangle with 10 inches is because we subtracted one inch from both sides of the 12 inches rectangle to avoid repetition and overvaluing the area

Total area =5.5π +106 square inches

Options must have ommitted the "π"

Answer:

5.5 + 106 square inches

Step-by-step explanation:

Correct on edge

Answer:

350 km

Step-by-step explanation:

210/x=3/5

x=350

tadaaa

Answer:

Expanded form - 90,000+400+3

Number names - Ninety thousand four hundred and three

Answer:

e

Step-by-step explanation:

Answer:

B)

Step-by-step explanation:

Because it can't be a because if you wanna get P it is 20/16 not 1 /12

Answer: 40%

Step-by-step explanation: To find what percentage of members voted for Hans simply multiply 32 by 100.

32 x 100 = 3200.

Then, divide that number, or 3200 by 80.

3200/80 = 40.

So, 40, or 40% of members voted for Hans.:)

Answer:

a

b

c

d

Step-by-step explanation:

balshdhsbwwqzhwhw

Answer:

I got m=(-2)

Step-by-step explanation:

y2-y1/x2-x1

4-0/0-2

4/-2

4/-2

-2

the slope is -2

1 pound = 16 ounces.

9 pounds 20 ounces =

9 x 16 = 144

144 + 20 = 164

164-160 = 4

9 pounds 20 ounces is 4 ounces heavier than 160 ounces.

Answer:

1 pound = 16 ounces

9 pounds 20 ounces =(9×16)+20= 144+20 =164 ounces

(164-160) ounces

9 pound 20 ounces is 4 ounces heavier than 160 ounces

Answer:

2

Step-by-step explanation:

Answer: 0.06 with 6 repeating

Step-by-step explanation:

You have to divide 1 by 15. You get 0.066666666666 which is the game as 0.06 with the 6 repeating.

Answer:

The answer is 1,300 people

Answer

Pretty sure he can make 15 dozens. Which means he can make 180 cookies.

Step-by-step explanation:

First, you would need to find how many times 2 1/4 cups can go into 33 3/4 cups. This would let you know how many dozens he can make. You would get an answer of 15 dozens. Then, you would multiply 15 times 12. You would multiply by 12 because a dozen is 12. You would then get an answer of 180. This means that he can make 180 cookies.

Hope I helped! :) Sorry if it's wrong :(

Answer:

it should be B. welcome!!

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

the total pound did the art club donate is 468 pound

Answer:

Neither.

Step-by-step explanation:

First, we write 2x - 5y = 25 in slope-intercept form. That gets us y = 2/5x - 5. Now, we graph both the lines (check the image attached). Parallel means extending in the same direction, everywhere equidistant. Perpendicular means the relationship between two lines that meet at a right angle (90 degrees). As we can see in the screenshot, these lines don't fit any of these categories, so we put "neither."

The lines 2x - 5y = 25 and y = 5x + 3 are neither parallel nor perpendicular

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

Equations of two lines are given, They are 2x - 5y = 25 and y = 5x + 3.

Now, Writing them in slope-intercept form,

2x - 5y = 25.

- 5y = - 2x + 25.

y = (2/5)x - 5.

And,

y = 5x + 3.

Now, We know lines parallel to each other have the same slope, and lines perpendicular to each other have a slope that is negative reciprocal of each other.

Therefore the lines y = (2/5)x - 5 and y = 5x + 3 are neither parallel nor perpendicular.

learn more about lines and slopes here :

https://brainly.com/question/3605446

#SPJ2

Answer:

X=2

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

Answer:

im sorry if this is wrong if its what I was doing you have to switch 4x and 3 places Minusing 4x from 6x giving negative 2x or -2x then adding 3 to get 10 getting -2x + 10 or you could get -2x - 10

Answer:

-2x

Step-by-step explanation:

Answer:

The second one [(-5,-5),(-1,-8),(-7,0),(-5,-9)]

Step-by-step explanation:

This is because there is more than 1 point with the same X-Value