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zubka84 [21]
3 years ago
14

What is the distance, in radical form, between the points (4,6) and (8,-2)?

Mathematics
1 answer:
kozerog [31]3 years ago
6 0
d = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}} \\d = \sqrt{(8 - 4)^{2} + (-2 - 6)^{2}} \\d = \sqrt{(4)^{2} + (-8)^{2}} \\d = \sqrt{16 + 64} \\d = \sqrt{80} \\d = \sqrt{16 * 5} \\d = \sqrt{16}\sqrt{5} \\d = 4\sqrt{5}
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Write an algebraic rule for the trend line. Report your rule in slope intercept form.
Tju [1.3M]

Answer:

y = 5x + 20

Step-by-step explanation:

Here, we want to find the slope intercept form equation of the trend line

The general form is:

y =

mx + b

b is slope and m

is the y-intercept

b = 20

To get the slope, we select any two points and use the slope formula

we have the points;

(10,70) and (5,45)

The slope formula is;

m = (y2-y1)/(x2-x1) = (45-70)/(5-10) = -25/-5 = 5

The equation of the line is thus;

y = 5x + 20

4 0
3 years ago
I kneed to know what 2/3 - 9/10 is so i can do the rest of my homework
Illusion [34]

Answer:

-7/30

Step-by-step explanation:

So you need to make the denominators the same number so that you can just subtract the numerators.

(10) 2/3 - (3) 9/10

 20/30 - 27/30

-7/30

6 0
3 years ago
A rich woman deposits a whole number of dollars x in her bank. The next time she deposits y dollars (still a whole number). Each
grin007 [14]

Answer:

x = 12

y = 22

Total amount = $2596

Step-by-step explanation:

First let's find the value of each deposit until the 10th in relation to x and y:

1st: x

2nd: y

3rd: x + y

4th: x + 2y

5th: 2x + 3y

6th: 3x + 5y

7th: 5x + 8y

8th: 8x + 13y

9th: 13x + 21y

10th: 21x + 34y

Now, we can write a system with two equations and two variables:

2x + 3y = 90

21x + 34y = 1000

From the first equation: x = (90 - 3y)/2

Using this value of x in the second equation, we have:

21*(90 - 3y)/2 + 34y = 1000

945 - 31.5y + 34y = 1000

2.5y = 55

y = 22

Now we can find x:

x = (90 - 3*22)/2 = 12

Now, summing all the deposits, we have a total of 55x + 88y, which is equal to 55*12 + 88*22 = $2596

5 0
3 years ago
The following polynomial is defined on the interval [-2, 2]:
Bess [88]

Answer:

Using Matlab code for Fourier series to calculate for the function, see the attached

Step-by-step explanation:

Go through the picture step by step.

6 0
3 years ago
During a sale, a store offered a 15% discount on a TV that originally sold for $420. After the sale, the discounted price of the
wolverine [178]

Answer:

Step-by-step explanation:

Your answer

303.45

Mark it as Brainlist. Follow me for more answer.

7 0
3 years ago
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