A rectangle has a perimeter of 46 inches.The width of the rectangle is 7 inches.What is the length of the rectangle,in inches

I need to complete the equation of the line through (3 -1) and (4 7). I am really stumped on this topic, please explain the proc

Nana76 [90]

Assuming you want the equation in slope intercept form, you first need to use slope formula to find the slope.

$\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Plug in the coordinates that you have, (3,-1) and (4,7), for the x and y values respectively.

$\frac{-1-7}{3-4}$

Which reduces to 8/1=8.

The slope of your equation is 8.

Slope intercept form is: y=mx+b. m is your slope and b is your y-intercept, x and y stay unchanged.

Plug the slope in:

y=8x+b.

Now, you can plug one of the sets of coordinates into the x and y of the equation to find b. I'm using (3,-1).

-1=8(3)+b

-1=24+b

Subtract 24 from both sides.

-25=b

Now plug this into the equation!

y=8x-25 is your final equation.

I hope this helps :)

6 0

3 years ago

What is the missing pattern 7, 11, 2, 18, -7

Alexxx [7]

The missing pattern behind the sequence 7, 11, 2, 18, -7 is described by the formula $n = 7 + \sum \limits_{i= 1}^{n} (-1)^{i+1}\cdot (i + 1)^{2}$ , equivalent to the recurrence formula $a_{n+1} = a_{n} + (-1)^{i+1}\cdot (i + 1)^{2}$ .

<h3>What is the missing element in a sequence?</h3>

A sequence is a set of elements which observes at least a defined rule. In this question we see a sequence which follows this rule:

$n = 7 + \sum \limits_{i= 1}^{n} (-1)^{i+1}\cdot (i + 1)^{2}$ (1)

Now we prove that given expression contains the pattern:

n = 0

7

n = 1

7 + (- 1)² · 2² = 7 + 4 = 11

n = 2

7 + (- 1)² · 2² + (- 1)³ · 3² = 11 - 9 = 2

n = 3

7 + (- 1)² · 2² + (- 1)³ · 3² + (- 1)⁴ · 4² = 2 + 16 = 18

n = 4

7 + (- 1)² · 2² + (- 1)³ · 3² + (- 1)⁴ · 4² + (- 1)⁵ · 5² = 18 - 25 = - 7

The missing pattern behind the sequence 7, 11, 2, 18, -7 is described by the formula $n = 7 + \sum \limits_{i= 1}^{n} (-1)^{i+1}\cdot (i + 1)^{2}$ , equivalent to the recurrence formula $a_{n+1} = a_{n} + (-1)^{i+1}\cdot (i + 1)^{2}$ .

To learn more on patterns: brainly.com/question/23136125

#SPJ1

8 0

2 years ago

1/10 of 500 is 10 times as much as _

Sliva [168]

1/10 of 500 is 50 so the answer is 5

4 0

3 years ago

Read 2 more answers

A random survey found that 6 of the 27 people surveyed prefer blueberry candies. Based on those results, about how many people

Softa [21]

I think it’s 24 I could be wrong but I’m pretty sure

3 0

2 years ago

Cyril has six more than twice as many mangoes as Kubie and half as many mangoes as Maxine. If Kubie has six mangoes, then, in te

sveticcg [70]

Answer:

(7x + 18) or 60 Mangoes

Step-by-step explanation:

Let the no. of mangoes Kubie possesses be x

So,

Cyril has mangoes = 2x + 6 ...(i)

So,

Maxine has = 2 * (2x + 6)

= 4x + 12

Given that,

Kubie has mangoes = 6

∵ The combined mangoes they have in terms of x,

= Cyril + Kubie + Maxine

= (2x + 6) + x + (4x + 12)

= 7x + 18

A.T.Q.

Cyril has = 2x + 6

∵ Cyril has mangoes = 2 * (6) + 6

= 18 mangoes

∵ Maxine has = 2 * Cyril's mangoes

= 2 * 18

= 36

Thus,

Total mangoes = Cyril + Kubie + Maxine

= 18 + 6 + 36

= 60 Mangoes

5 0

3 years ago