Write a recursive formula for the arithmetic sequence:

7,4,1,-2

Answer:

x + y + z = 123

Step-by-step explanation:

x:y:z = 7:2:5

Let x = 7a, y = 2a, z = 5a

Since x - z = 18

Therefore,

7a - 5a = 18

2a + 18

a = 18/2

a = 9

7a = 7*9 = 63

2a = 2*9= 15

5a = 5*9 = 45

x + y + z = 63 + 15 + 45

x + y + z = 123

Answer:

#1: Dillon, Harry, Paul, Winston #2: B

Step-by-step explanation:

#1: Absolute value is the opposite of the negative number, so it's just 2, 8, 10, and 13.

#2: Count by 10's, it's on the 50 line

Answer:

1)Dillon, Harry, Paul and Winston

2) C

Answer:

a) Center of dilation (0,0)

b) Scale factor = 2

Step-by-step explanation:

Dilation of Polygons

The triangle ABC has its vertices at A(-2,2), B(4,2), and C(-2,-2).

The triangle A'B'C' has its vertices at A'(-4,4), B'(8,4), and C'(-4,-4).

Since A'B'C' is a dilation of ABC, we check if all its vertices are proportional with the same scaling factor.

Both vertices of A' are twice the vertices of A: (-4,4)=2*(-2,2)

Both vertices of B' are twice the vertices of B: (8,4)=2*(4,2)

Both vertices of C' are twice the vertices of C: (-4,.4)=2*(-2,-2)

a)

The proportionality of the coordinates of the vertices tells us the center of dilation must be the origin of coordinates (0,0).

b)

The scale factor is the constant number all the vertices are multiplied by, that is, scale factor = 2

Answer:

<1=83

<2=97

<3= 83 (given)

<4=97

<5=83

<6=97

<7=83

<8=97

Step-by-step explanation:

They give you the angle for 3 which is 83, so from there all you have to do is find the equivalent angles which are angle 1,5,7. Then for angles 2,4,6,8 you subtract 83 from 180 and you get 97.

Answer:

An arithmetic sequence has a constant difference between each term.

For example: 2,4,6,8,10,12,…

We can see clearly that all the terms differ by +2.

We call this the common difference, d.

A geometric sequence has a constant ratio (multiplier) between each term.

An example is: 2,4,8,16,32,…

So to find the next term in the sequence we would multiply the previous term by 2.

This is called the common ratio, r.

These sequences are closely related as they both have the same first term, but I hope you can see how different they become if they have a common difference or a common ratio.

We can create a decreasing arithmetic sequence by choosing a negative common difference.

Similarly, a decreasing geometric sequence would have a common ratio of less than 1.

Step-by-step explanation:

Answer: 15.5 divided by 33.17  would be 0.46728972

Make sure you put your decimal point

Answer:

here you go. hope this helps!

Answer:

Step-by-step explanation:

reflection over y-axis

Option A is correct, 180 degree rotation counter clockwise about the origin is transformation which would carry the rhombus onto itself.

We need to consider the properties of a rhombus and how each transformation affects its shape and orientation.

A rhombus is a quadrilateral with all four sides of equal length. It also has opposite angles that are congruent. Based on this information, we can analyze each transformation option:

180-degree rotation counterclockwise about the origin is a transformation would preserve the shape and size of the rhombus since a 180-degree rotation does not change the lengths of the sides or the angles.

Therefore, it is a possible transformation that carries the rhombus onto itself.

To learn more on Graph click:

https://brainly.com/question/17267403

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Answer:

<stv and <stq

Step-by-step explanation:

adjacent angles have the same vertex and are side by side.

Answer: 5,

Step-by-step explanation: I got it right, and I hope this helps you! ✨

Answer:

the evaluation of the equation is 5

Step-by-step explanation:

To add fractions, find the LCD and then combine.

Answer:

16.225

just times 2.5 times 6.49

Answer:

d. none of these

Step-by-step explanation:

Answer:

bro I didnt understand your question can u resend it

Hi there! :)

[tex]\large\boxed{A. \text{ } y = 2x - 12}[/tex]

6x - 3y = 36

Solve for y:

begin isolating by subtracting both sides by 6x:

6x - 6x - 3y = 36 - 6x

-3y = 36 - 6x

Divide both sides by -3 to solve for y:

(-3y) / (-3) = (36 - 6x)/ (-3)

y = -12 + 2x

Rearrange:

y = 2x - 12, or choice A.

Answer:

use desmos.

Step-by-step explanation:

demos. All you have to do is out the equation into Desmos and it will graph it for you. You can look and learn.

Answer:

The length of x=3/1

Step-by-step explanation:

Given the right triangle

Ф = 30

We know that

sin Ф = opposite/hypotenuse

The opposite of angle 30° = x

The hypotenuse is = 6

so

sin 30 = opposite/hypotenuse

    1/2      = x/6           ∵ sin 30 = 1/2

     1/2 × 6 = x

     6/2 = x

       3/1 = x

Therefore, the length of x=3/1

Answer:

a. 9 sides

b. 18 sides

c. 24 sides

d. 30 sides

Step-by-step explanation:

We can use the equation 180(n-2), which n is the number of sides to find the answer.

a. 180(n-2)=1260

n-2=7

n=9

b. 180(n-2)=2880

n-2=16

n=18

c. 180(n-2)=3960

n-2=22

n=24

d. 180(n-2)=5040

n-2=28

n=30

Answer:

a) 9 sides

b) 18 sides

c) 24 sides

d) 30 sides

Step-by-step explanation:

sum of interior angles = (n - 2) * 180

where n is the number of sides

a) 1260

(n - 2) * 180 = 1260

(n - 2) = 1260/180

(n - 2) = 7

n = 7 + 2

n =  9

b) 2880

(n - 2) * 180 = 2880

(n - 2) = 2880/180

(n - 2) = 16

n = 16 + 2

n =  18

c) 3960

(n - 2) * 180 = 3960

(n - 2) = 3960/180

(n - 2) = 22

n = 22 + 2

n = 24

d) 5040

(n - 2) * 180 = 5040

(n - 2) = 5040/180

(n - 2) = 28

n = 28 + 2

n = 30

Answer: 4x+8=12

Step-by-step explanation: there is the 1st one im going to try and o the second one oh im a 7th grader

The no. of apples on the tree today

= The no. of apples on the tree yesterday - 5

Let us take 'the no. of apples on the tree today' as 'x'

and 'the no. of apples on the tree today' as 'y'

Therefore, x = y - 5

Hope this is the thing u are looking for

Answer:

-90%

Step-by-step explanation:

Change/ original x 100

9000-900= 8100

8100/9000= 0.9

0.9 x 100 = 90

Answer:

6x + 5y + 13 = 0.

Step-by-step explanation:

y = 5/6x + 7/6

Gradient = 5/6

Since the line is perpendicular to y = 5/6x + 7/6

then its gradient is -6/5.

Hence its equation is: point (-8,7).

y - 7 = -6/5(x -(-8))

multiplying through by 5 we get;

5y - 35 = -6(x + 8)

5y - 35 = -6x - 48

6x + 5y + 13 = 0

Answer: 8.125 inches

Step-by-step explanation: Ok so if the plant grew 3.25 inches every month, and there were 2.5 months, you need to multiply 3.25 by 2.5 to get the total amount of growth. So that would be 8.125

It's really easy to solve this problem all you have to do is long division with 4,274 and 51.

4,274 divided by 51 is = to 83 but it still has decimals leftovers meaning there would be a remainder and since we already found out 81 is part of the answer we know it won't be 91 and it has to be 83 with a remainder!

Answer:

120 square feet

Step-by-step explanation:

they are similar so they are in a ratio 20/10=2 so smaller triangle is twice the larger one 6×2=12ft

area of triangle =1/2×base×height

=1/2×20×12

=120 square feet

Answer:

The value of each expression when x=3 will be -20 and -20.

Step-by-step explanation:

Given the expression

-4x-8

setting x=3

= -4(3)-8

=-12-8

=-20

Given the expression

-2(x+1)-2(x+3)

setting x=3

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

=-2(4)-2(6)

=-8-12

=-20

so we conclude that the value of both the expressions was -20 when we substituted the value x=3.

Therefore, the value of each expression when x=3 will be -20 and -20.

Answer:

Step-by-step explanation:

Let amount of apples be x and oranges be y

Then we have:

Subtract triple of the first equation from the second one:

Then finding x

So apples = 20, Oranges = 10

Answer:

Yes, you have enought money

Step-by-step explanation:

45 times 107% (100 for the total cost and and 7 for the tax) is equal to 48.15. You have 50 dollars, therefore you can buy your shoes.