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4 years ago

Find the distance between the points (3,0) and (-1,-5)

Mathematics

1 answer:

nadya68 [22]4 years ago

7 0

Answer:

6.4

Step-by-step explanation:

distance formula $\sqrt{(x2-x1)^2+(y2-y1)^2}$

$\sqrt{(-1-3)^2+(-5-0)^2}$

$\sqrt{(-4)^2+(-5)^2}$

$\sqrt{16+25}$

$\sqrt{41}$ ≈6.403.......

ik it doesnt make any sinse but hope this helps

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3 years ago

A model ship is 28 in. by 65 in. Use the scale 1 in. : 1/2 ft to find the dimensions of the actual ship.

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3 years ago

Find the missing value 8- = -5

podryga [215]

Answer:

x = 13

Step-by-step explanation:

call the missing number x

8 - x = - 5 Subtract 8 from both sides

8-8 - x = -5-8 Combine

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x = 13

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3 years ago

Based on a study of population projections for 2000 to 2050, the projected population of a group of people (in millions) can b

Olegator [25]

Answer:

(a) 0.107 million per year

(b) 0.114 million per year

Step-by-step explanation:

$A(t) = 11.19(1.009)^t$

(a) The average rate of change between 2000 and 2014 is determined by dividing the difference in the populations in the two years by the number of years. In the year 2000, $t=0$ and in 2014, $t=14$ . Mathematically,

$\text{Rate}=\dfrac{A(2014) - A(2000)}{2014-2000}=\dfrac{11.19(1.009)^14-11.19(1.009)^0} {14}$

$A(0)=\dfrac{12.69-11.19}{14}=\dfrac{1.5}{14}=0.107$

(b) The instantaneous rate of change is determined by finding the differential derivative at that year.

The result of differentiating functions of the firm $y=a^x$ (where $a$ is a constant) is $\dfrac{dy}{dx}=a^x\ln a$ . Let's use in this in finding the derivative of $A(t)$ .