I’m having a bit of trouble please help me

Please answer question with work ♥️

vova2212 [387]

Answer:

r=201

d = 77 1/2

Step-by-step explanation:

6) First multiply left and right by 16, to get rid of the fraction:

r - 25 = 11*16

Now add 25 left and right:

r = 11*16 + 25 = 201

7) Add 5 left and right

2/5 d = 31

multiply by 5/2

d = 31 * 5/2 = 77 1/2

3 0

3 years ago

Question is below help needed

RoseWind [281]

The common ratio of both the formulas is 3 and 2. The first formula is explicit and the second is the recursive formula.

<h3>What is the recursive rule?</h3>

A rule is defined such that its definition includes itself.

1.

The given sequence is

-2, -6, -18, -54

Common ratio ;

r = -6 / -2 = 3

$a _ n =-2 (3) ^{n-1}$

This given formula is the explicit formula.

2.

The given sequence is

4, 8, 16, 32

Common ratio ;

r = 8 / 4 = 2

$a_n = a_{n-1}.2\\\\a _1 = 4$

This given formula is the recursive formula.

Learn more about the recursive rule and explicit rules here:

brainly.com/question/12620593

#SPJ1

5 0

2 years ago

What is the area of the triangle that is 30 m base in the height of 12 m in a straight line of 13

Reika [66]

Answer:

60

Step-by-step explanation:

3 0

3 years ago

Given the system of linear equations.

Karo-lina-s [1.5K]

Part A:

x + y = 9

4x + y = 6

To solve this system using substitution, begin by isolating either x or y in the first equation. I'll isolate x.

x + y = 9

x = 9 - y

Substitute this expression (9 - y) into the second equation for x and solve.

4x + y = 6

4(9 - y) + y = 6

36 - 4y + y = 6

36 - 3y = 6

-3y = -30

y = 10

To find x, substitute 10 for y into either of the original equations.

x + y = 9

x + 10 = 9

x = -1

Finally, check all work by substituting the x- and y-values into each original equation.

x + y = 9 --> -1 + 10 = 9 --> 9 = 9 --> True

4x + y = 6 --> 4(-1) + 10 = 6 --> -4 + 10 = 6 --> 6 = 6 --> True

The answer for Part A is x = -1 and y = 10; (-1, 10).

Part B:

For graphing, it's easier to get the equations into slope-intercept form. Slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. To get our equations into slope-intercept form, we must simply isolate y.

x + y = 9

y = 9 - x

y = -x + 9

4x + y = 6

y = 6 - 4x

y = -4x + 6

Now that we have our slope-intercept equations, we can easily graph them, since their slopes and y-intercepts are readily visible.

Let's start with the y-intercepts. They are (0, 9) and (0, 6). You can plot those points on the graph.

Now, the slopes. The slope of the first line is -1, this means it declines. To plot this, start where you plotted the y-intercept, count one unit down, and then one unit to the right, and plot that point. Continue doing that and connect the dots, and you will have plotted the first line. The slope of the second line is -4, so it also declines. For this line, count four units down, and then one to the right and plot that point. Likewise, continue this and connect the coordinates, and you will have your line. (See attachment for graph.)

The lines do indeed intersect at (-1, 10); our answer is verified by graphing.