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3 years ago

Find the distance between (6,4) and (0,-5)

Mathematics

1 answer:

sergejj [24]3 years ago

4 0

Step-by-step explanation:

we know,

distance = √(x_2 - x_1)² + (y_2 - y_1)²

given points

(6,4) and (0,-5)

according to formula

→ d = √(0 - 6)² + (-5 - 4)²

→ √(-6)² + (-9)²

→ √36 + 81

→ √117 = 10.81 (approx.)

therefore, distance between both the points are 10.81 (approx.).

Hope this helps you !

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What is the solution to the equation g(x+2) = 27? (1 point)

Anna11 [10]

X= 2.5
Hope this helps !

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3 years ago

Read 2 more answers

If Tanisha has $1000 to invest at 7% per annum compounded semiannually, how long will it be before she has $1600? If the co

Sphinxa [80]

Answer:

Using continuous interest 6.83 years before she has $1600.

Using continuous compounding, 6.71 years.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

$A(t) = P(1 + \frac{r}{n})^{nt}$

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit year and t is the time in years for which the money is invested or borrowed.

Continuous compounding:

The amount of money earned after t years in continuous interest is given by:

$P(t) = P(0)e^{rt}$

In which P(0) is the initial investment and r is the interest rate, as a decimal.

If Tanisha has $1000 to invest at 7% per annum compounded semiannually, how long will it be before she has $1600?

We have to find t for which $A(t) = 1600$ when $P = 1000, r = 0.07, n = 2$

$A(t) = P(1 + \frac{r}{n})^{nt}$

$1600 = 1000(1 + \frac{0.07}{2})^{2t}$

$(1.035)^{2t} = \frac{1600}{1000}$

$(1.035)^{2t} = 1.6$

$\log{1.035)^{2t}} = \log{1.6}$

$2t\log{1.035} = \log{1.6}$

$t = \frac{\log{1.6}}{2\log{1.035}}$

$t = 6.83$

Using continuous interest 6.83 years before she has $1600

If the compounding is continuous, how long will it be?

We have that $P(0) = 1000, r = 0.07$

Then

$P(t) = P(0)e^{rt}$

$1600 = 1000e^{0.07t}$

$e^{0.07t} = 1.6$

$\ln{e^{0.07t}} = \ln{1.6}$

$0.07t = \ln{1.6}$

$t = \frac{\ln{1.6}}{0.07}$

$t = 6.71$

Using continuous compounding, 6.71 years.

7 0

3 years ago

What is the average rate of change between (3,2) and (1,9)

hjlf

Answer:

-0.25

Step-by-step explanation:

1-3= -2

9-2= 8

-2/8= -0.25

7 0

3 years ago

What is the mean median mode range of 3,14,7,12,4,9,16,4,8,20

gogolik [260]

First, order the number set from least to greatest:

3 , 4 , 4 , 7 , 8 , 9 , 12 , 14 , 16 , 20

Mean: You find the mean by combining all the terms, and dividing by the amount of the terms there are in the number set:

(3 + 4 + 4 + 7 + 8 + 9 + 12 + 14 + 16 + 20)/10

(97)/10 = 9.7

Mean: 9.7

Median: You find the median by first ordering the number set from least to greatest, and finding the middle number. Note that if there is a even number of numbers in the set, you find the mean with the two given median digits:

8 & 9 are the median numbers:

(8 + 9)/2 = (17)/2 = 8.5

Median: 8.5

Mode: The mode is the number(s) in the set that shows up the most:

Mode: 4 (shows up one more time than all other numbers)

Range: The range can be found by subtracting the least number from the greatest number in the number set:

Range: 20 - 3 = 17

Range: 17

5 0

3 years ago

If measure angle acd=70 then measure angle bcd=

FinnZ [79.3K]

Answer: 35

Step-by-step explanation:

Angle ACD = 70

Angle BCD = 70/2 = 35

8 0

3 years ago