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3 years ago

Find the distance between the point: (-3,1) and (-7,-5)

Mathematics

1 answer:

kotegsom [21]3 years ago

7 0

Answer:

2√13

Step-by-step explanation:

using the distance formula;

d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}

you plug the numbers in. once done you get 2√13.

Hope it helps!

You might be interested in

Write an exponential function in the form y = ab* that goes through points (0,12) and (2,768).

adell [148]

The exponential function is $y=12(8)^{x}$

Step-by-step explanation:

The form of the exponential function is $y=ab^{x}$ , where

a is the value of y when x = 0
b is the rate of change

∵ The form of the exponential function is $y=ab^{x}$

∵ The function goes through points (0 , 12) and (2 , 768)

- Substitute the coordinates of the first point to find the value of a

∵ x = 0 and y = 12

∴ $12=ab^{0}$

∵ $b^{0}=1$

∴ 12 = a(1)

∴ a = 12

Substitute the value of a in the form of the function

∴ $y=12(b)^{x}$

- Substitute the coordinates of the second point to find the value of b

∵ x = 2 and y = 768

∴ $768=12(b)^{2}$

- Divide both sides by 12

∴ 64 = b²

- Take √ for both sides

∴ b = 8

- Substitute the value of b in the form of the function

∴ $y=12(8)^{x}$

The exponential function is $y=12(8)^{x}$

Learn more:

You can learn more about the logarithmic function in brainly.com/question/1447265

#LearnwithBrainly

3 0

3 years ago

Least to greatest 0.35 3.5 0.53 0.3 0.5 Also least to greatest ( 9.7 9.67 9.76 19.6 9.6)

leonid [27]

Answer:

Least to greatest #1 - 0.3, 0.35, 0.5, 0.53, 3.5

Least to greatest #2 - 9.6, 9.67, 9.7, 9.76, 19.6

Least meaning the lowest/smallest number.

Greatest meaning the highest/ biggest number.

3 0

3 years ago

Read 2 more answers

The area of a rectangular wall of a bar is 108 square feet. Its length is 6 feet longer than twice its width. Find the length an

Montano1993 [528]

Answer:

Step-by-step explanation:

Let the length of the rectangle be L.

Let the width of the rectangle be W.

Given the following data;

Area of rectangle = 108 ft²

L = 2W + 6

To find the length and width of the wall of the barn;

6 0

3 years ago

Find the nature of the root

GREYUIT [131]

Answer:

1) Real and same.

2) Real and distinct

3) Real and distinct

4) Real and distinct

5) Real and distinct

6) Real and distinct

7) Real and distinct

8) Real and distinct

Step-by-step explanation:

If a quadratic equation is in the form of ax² + bx + c = 0, then Discriminant of the equation D = b² - 4ac, which governs the nature of roots the equation has.

If D > 0, then there will be two different real roots.

If D = 0, then two same and real roots.

If D < 0, then two distinct but imaginary roots.

Now, 1) x² + 6x + 9 = 0 has D = 6² - 4 × 9 × 1 = 0. So, there will be two same and real roots.

2) 5x² - x = 4x² + 2

⇒ x² - x - 2 = 0

It has D = (-1)² - 4 × 1 × (-2) = 9. Therefore, the roots will be two distinct and real.

3) $\frac{2}{x} + \frac{3}{x} = x - 4$

⇒ 5 = x² - 4x

⇒ x² - 4x - 5 = 0.

So, D = (-4)² - 4 × (1) × (- 5) = 36. So, the equation has two real and distinct rools.

4) x(x - 5) = 4(5 - x)

⇒ x² - x - 20 = 0

Hence, D = (-1)² - 4 × 1 × (-20) = 81

So, the roots will be real and distinct.

5) x² + 7x + 1 = 0 has D = 7² - 4 × 1 × 1 = 45

So, the roots will be real and distinct.

6) 2x² + 9x + 3 = 0, has D = 9² - 4 × 2 × 3 = 57.

Hence, the roots will be real and distinct.

7) 5x² - 6 = 13x

⇒ 5x² - 13x - 6 = 0

So, D = (-13)² - 4 × 5 × (-6) = 289

So, the roots will be real and distinct.

8) x² - x = 3(x + 7)

⇒ x² - 4x - 21 = 0

It has D = (-4)² - 4 × 1 × (-21) = 100

So, the roots will be real and distinct. (Answer)

6 0

3 years ago

A certain kind of bacteria multiplies at a rate of 150 percent per hour. When a person’s blood has 45,000,000 of these bacteria,

DIA [1.3K]

Initial number of Bacteria = Ao = 100
Number of Bacteria which make the person ill = A = 45,000,000

Growth rate = r = 150% = 1.50

The equation model for this situation is:

$A= A_{o}(1+r)^{t}$

Using the values in above equation, we can write:

$45000000=100(1+1.5)^{t} \\ \\ 
450000=(2.5)^{t} \\ \\ 
log(450000)=log((2.5)^{t}) \\ \\ 
log(450000)=t*log(2.5) \\ \\ 
t= \frac{log(450000)}{log(2.5)} \\ \\ 
t=14.21$

This means, the person will fall sick after about 14 hours.

8 0

3 years ago

Read 2 more answers