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2 years ago

What is the distance from 3, 5) to 4.-12)?

Mathematics

1 answer:

enyata [817]2 years ago

4 0

Answer:

Step-by-step explanation:

P1 = (3.5,5) in the form (x1,y1)

P2 = (3.5,-12) in the form (x2,y2)

dist = sqrt[ (x2 - x1)^2 + (y2-y1)^2 ]

dist = sqrt[ (3.5-3.5)^2 + (-12-5)^2 ]

dist = sqrt [ 0 -17^2]

dist = 17

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n 2000 the population of a small village was 2,400. With an annual growth rate of approximately 1.68%, compounded continuously,

Nitella [24]

Answer:

The population would be 3358

Step-by-step explanation:

Since, exponential growth function if the growth is compound continuously,

$A = Pe^{rt}$

Where,

P = initial population,

r = growth rate per period,

t = number of periods,

Given,

The population in 2000, P = 2,400,

Growth rate per year = 1.68% = 0.0168,

Number of years from 2000 to 2020, t = 20,

Thus, the population in 2020,

$A=2400 e^{0.0168\times 20}$

$=2400 e^{0.336}$

$= 3358.4136$

$\approx 3358$

6 0

3 years ago

What is the solution(s) to the system of equations y = x² +4 and y = 2x + 4

bija089 [108]

Answer:

$(x,y) = (0,4)~ \text{and}~ (x,y) = (2,8)$

Step by step explanation:

$y = x^2 +4~~~~~~~~~...(i)\\\\y = 2x +4~~~~~~~~~...(ii)\\\\\text{From (i) and (ii):}\\\\~~~~~~x^2 +4 = 2x+4\\\\\implies x^2 = 2x\\\\\implies x^2 -2x = 0\\\\\implies x(x-2) = 0\\\\\implies x =0,~ x = 2$

$\text{Substitute x = 0 in eq (i):}\\\\y = 0^2 +4 = 4\\\\\text{Substitute x = 2 in eq (i):}\\\\y=2^2+4 = 4+4 = 8\\\\\text{Hence,}~ (x,y)= \{(2,8), (0,4)\}$

3 0

2 years ago

I need to subtract it with renaming it too.

Vladimir79 [104]

$8 \frac{1}{6} -3 \frac{5}{6} = 7 \frac{7}{6} -3 \frac{5}{6}$
$= 4 \frac{2}{6} = 4 \frac{1}{3}$

6 0

3 years ago

Read 2 more answers

What is the surface area of the box if it is scaled up by a factor of 10? Boxes Dimensions 7in Height 6in Length 2in Width

VladimirAG [237]

Answer:

13,600 $in^{2}$

Step-by-step explanation:

(h = 7, l = 6, w = 2) 10

70, 60, 20

2(h × w) + 2(h × l) + 2(w × l)

= 2(70 × 20) + 2(70 × 60) + 2(20 × 60)

= 2(1400) + 2(4200) + 2(1200)

= 2800 + 8400 + 2400

= 13,600

4 0

3 years ago

Two small planes leave Sacramento and LA, which are 380 miles apart, and travel toward each other. If one plane travels 30 miles

Anettt [7]

The sum of their speeds is 380 miles per hour. The difference of their speeds is 30 miles per hour. Then the faster plane is traveling at
.. (380 +30)/2 = 205 miles per hour

The slower plane's speed is 30 miles per hour less, so it is traveling at
.. 205 mph -30 mph = 175 miles per hour

7 0

3 years ago

What is the distance from 3, 5) to 4.-12)?​

What is the distance from 3, 5) to 4.-12)?