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Wittaler [7]
3 years ago
7

In which geometry is there no line parallel to a given line through a point not on the line?

Mathematics
2 answers:
Nonamiya [84]3 years ago
6 0

Answer:

no parallel lines can be drawn

Step-by-step explanation:

tangare [24]3 years ago
4 0

Answer:

Given a line and a point not on it, no lines parallel to the given line can be drawn through the point. you get an elliptic geometry.

Step-by-step explanation:

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Joseph borrows $10000 from his sister Katie at an annual interest rate of 10%. If the
earnstyle [38]

Answer:

A  =  P  ( 1  + r / n)  ^( t * n)

where

A  =  the amt  owed

P  = amt borrowed

r  = the  interest  rate  as a decimal

n =  the  number of compoundings  per year

t  = the  number of years

A  =    10000  (  1  + .10  / 2)^(2 *1)    =   10000  ( 1.05)^2    =  $11025

Step-by-step explanation:

8 0
3 years ago
Find the area of the rectangle with a length of (3x-5) and a width of (2x+7). <br> HELP PLS
GarryVolchara [31]

Answer:

6

7 0
3 years ago
50 cm = .... m a. 50 x 106 m b. 50 x 10-3 m c. 50 x 101 m d. 50 x 10-2 m​
VLD [36.1K]

9514 1404 393

Answer:

  d.  50 x 10^-2 m​

Step-by-step explanation:

"c" is the SI prefix for "centi-" meaning one hundredth, or 10^-2. Then ...

  50 cm = 50×10^-2 m

8 0
3 years ago
3. Derek throws a baseball upward from an initial height of 3 ft. The baseball hits the ground after 2 seconds.
mariarad [96]

Answer with Step-by-step explanation:

Since we have given that

Initial height = 3 feet

The baseball hits the ground after 2 seconds

t = 2 seconds

So, final velocity = v = 0

a. What was the initial velocity of the baseball?

Initial velocity is given by

v_0=\dfrac{3}{2}=1.5\ ft/sec

b. What is the function that models the height, ℎ (in feet), of the baseball over a period of time tt (in seconds)?

As we know that the function of height would be

h(t)=-16t^2+v_0t+h_0

Here, h_0 is the initial height.

So, our function becomes,

h(t)=-16t^2+1.5t+3

c. At what time did the baseball reach its maximum height? What was the maximum height of the baseball?

Maximum height at time t:

t=\dfrac{-b}{2a}=\dfrac{-1.5}{2\times -16}=\dfrac{1.5}{32}\approx 0.05\ seconds

Maximum height would be

h(0.05)=-16(0.05)^2+1.5\times 0.05+3=3.035\ ft

8 0
3 years ago
Given the function f(x) = 4x - 2, explain and show how to find the average rate of change between x = 2 and x = 4.
zalisa [80]

Answer:

The average rate of change between x = 2 and x = 4 is of 4.

Step-by-step explanation:

Average rate of change:

The average rate of change of a function f(x) in an interval [a,b] is given by:

A = \frac{f(b)-f(a)}{b-a}

In this question:

f(x) = 4x - 2, b = 4, a = 2

Thus:

f(b) = f(4) = 4(4) - 2 = 16 - 2 = 14

f(a) = f(2) = 4(2) - 2 = 8 - 2 = 6

Average rate of change:

A = \frac{f(b)-f(a)}{b-a}

A = \frac{14-6}{4-2}

A = \frac{8}{2}

A = 4

The average rate of change between x = 2 and x = 4 is of 4.

7 0
3 years ago
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