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oksano4ka [1.4K]
3 years ago
14

The space shuttle releases a space telescope into orbit

Mathematics
1 answer:
sergey [27]3 years ago
4 0

Answer: 68 m/s^{2}

Step-by-step explanation:

The acceleration a of the satellite can be calculated by the following equation:

V_{f}=V_{o}+at

Where:

V_{f}=1700 m/s is the final speed of the satellite

V_{o}=0 is the initial speed of the satellite (it was "stationary" before the release)

t=25 s is the time

Isolating a:

a=\frac{V_{f}}{t}

a=\frac{1700 m/s}{25 s}

Finally:

a=68 m/s^{2}

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16 ?

Step-by-step explanation:

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Which line in the graph has the equation y= 1/2x + 2
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3

Step-by-step explanation:

y= mx +b

b the y-intercept and is 2  so is red or purple line

m is the slope = 1/2  so rise 1 and run 2 is the purple line

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3 years ago
Alvin is 11 years younger than Elga. The sum of their ages is 43. What is elgas age
Neporo4naja [7]

Answer:

16

Step-by-step explanation:

Lets assume x is Elgas' age

And y is Alvins age

we know that alvin is 11 years younger than Elga which means,

x=y+11

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x+y=43

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2 years ago
Write an equation of the perpendicular bisector of the segment with endpoints G 9,8       and H 3,2      .
Norma-Jean [14]

Answer:

y = -x + 11

Step-by-step explanation:

The equation of a straight line is is given by:

y = mx + b; where m is the slope and b is the y intercept

The equation of the line joining G(9, 8) and H(3, 2) is given as:

y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-8=\frac{2-8}{3-9}(x-9)\\\\y-8=x-9\\\\y=x-1

The perpendicular bisector of the line joining G(9, 8) and H(3, 2) is perpendicular to the line joining G(9, 8) and H(3, 2) and passes through the midpoint of line joining G(9, 8) and H(3, 2).

Let (x, y) be the midpoint of the line joining G(9, 8) and H(3, 2). Hence:

x = (9 + 3)/2 = 6

y = (8 + 2)/2 = 5

The midpoint = (6, 5)

Two lines are perpendicular if the product of their slopes is -1.

The line joining G(9, 8) and H(3, 2) has a slope of 1, hence, the slope of the perpendicular bisector would be -1.

This means that the perpendicular bisector has a slope of -1 and passes through (6, 5). Using:

y-y_1=m(x-x_1)\\\\y-5=-1(x-6)\\\\y-5=-x+6\\\\y=-x+11

The equation of the perpendicular bisector is y = -x + 11

8 0
3 years ago
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