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3 years ago

What is the distance between the following points? WILL GIVE BRAINLIEST

Mathematics

1 answer:

frutty [35]3 years ago

5 0

Answer:

D.√85

Step-by-step explanation:

We can find the distance between two points using the distance between two points formula

Distance between two points formula:

d = √(x2 - x1)² + (y2 - y1)²

Where the x and y values are derived from the given points

We are given the two points (-2,7) and (7,9)

Using these points let's define the variables ( variables are x1, x2, y1, and y2)

Remember points are written as follows (x,y)

The x value of the first point is -2 so x1 = -2

The x value of the second point is 7 so x2 = 7

The y value of the first point is 7 so y1 = 7

The y value of the second point is 9 so y2 = 9

Now that we have defined each variable let's find the distance between the two points

We can do this by substituting the values into the formula

Formula: d = √(x2 - x1)² + (y2 - y1)²

Variables: x1 = -2, x2 = 7, y1 = 7, y2 = 9

Substitute values in formula

d = √(7 - (-2))² + (9 - 7)²

Evaluation:

The two negative signs cancel out on 7-(-2) and it changes to +7

d = √ (7+2)² + (9-7)²

Add 7+2 and subtract 9 and 7

d = √ (9)² + (2)²

Simplify exponents 9² = 81 and 2² = 4

We then have d = √ 81 + 4

Finally we add 81 and 4

We get that the distance between the two points is √85

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MatroZZZ [7]

Answer:

32 pavers

Step-by-step explanation:

step 1

Find out the area of one square paver

The area of a square is

$A=s^{2}$

where

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we have

$s=2\ ft$

substitute

$A=2^{2}\\A=4\ ft^{2}$

step 2

Find out the area of the rectangular patio

we know that

The area of a rectangle is

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we have

$L=16\ ft\\W=8\ ft$

substitute

$A=(16)(8)\\A=128\ ft^2$

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3 years ago

A population of mice is increasing exponentially. On Monday there were 120 most. One month later there were 132 most. Ready func

djyliett [7]

Answer:

$y=120 * 1.1^x$ --- function

The monthly rate is 10%

Step-by-step explanation:

Given

Let

$x \to months$

$y \to mice$

So, we have:

$(x_1,y_1) = (0,120)$ --- Monday

$(x_2,y_2) = (1,132)$ --- One month later

Required

The function

The function is represented as:

$y=ab^x$

In $(x_1,y_1) = (0,120)$ , we have:

$120 = a * b^0$

$120 = a * 1$

$120 = a$

$a=120$

In $(x_2,y_2) = (1,132)$ , we have:

$132 = a * b^1$

$132 = a * b$

Substitute: $a=120$

$132 = 120 * b$

Solve for b

$b = \frac{132}{120}$

$b = 1.1$

So, the function is:

$y=ab^x$

$y=120 * 1.1^x$

To calculate the monthly rate (r), we have:

$y =a(1 + r)^x$

Compare to: $y =ab^x$

$1 + r = b$

Make r the subject

$r = b-1$

Substitute $b = 1.1$

$r = 1.1-1$

$r = 0.1$

Express as percentage

$r = 0.1*100\%$

$r = 10\%$

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3 years ago

Find the slope (6,-11) and (2-1)

AleksAgata [21]

Answer:

-5/2

Step-by-step explanation:

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3 years ago

2-2x2-(39 divided by 1)+2+9

artcher [175]

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3 years ago

I need all the answers please help me and show me step by step...please...

Daniel [21]

1. No. This is because the system does not go up equally every time. There is no common difference

2. Yes. The common difference is 12 and it goes up by that much every single number.

3. The common difference is 3. This is because they all have a common difference and it increases by 3.

4. The common difference is -6. This is because every time the number goes down, it has a common difference of -6. The distance from each ascending or descending number in this pattern is 6, but it descends by default, so it would be negative.

5. The common difference is -10, and the next three terms are -20, -30, and -40. The common difference is -10 because the distance from each ascending or descending number is 10, but it descends by itself versus ascending, making the difference negative. The last three numbers are -20, -30, and -40 because you subtract 10 each time.

6. The common difference is 2 and the last 3 numbers are 92, 90, and 88. I think you get how this goes now.

7. Recursive formula: a1=a2-5 .Explicit formula: f(n)=12-5(n-1) 20th term: -83: I seriously do not want to have to explain this. The recursive formula shows term 1 is equal to term 2 plus the common difference. The explicit formula shows the first term, the common difference, and one less than the number term. The 20th term is me just taking away 5 over and over and over again.

8. recursive formula: a1=a2+3 . Explicit formula: f(n)=1+3(n-1) 32nd term: 94

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3 years ago