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3 years ago

Line AB is drawn from A(0,10) to B(-7,-4). Find point C that partitions line AB in ratio 5:2

1 answer:

8 0

C) (-5, 0)

Working;
Use the formula;
x coordinate= $\frac{ k_{1} x_{B}+ k_{2} x_{A} }{ k_{1} + k_{2} }$ $\frac{ k_{1} y_{B} + k_{2} y_{A} }{ k_{1} + k_{2} }$

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A model rocket is launched straight upward. The solid fuel propellant pushes the rocket off the ground at an initial velocity of

anastassius [24]

Answer:

a) 72.25sec

b) 6.25secs

c) after 10.5secs and 2 secs

Step-by-step explanation:

Given the height reached by the rocket expressed as;

s(t)= -4t^2 + 50t - 84

At maximum height, the velocity of the rocket is zero i.e ds/dt = 0

ds/dt = -8t + 50

0 = -8t + 50

8t = 50

t = 50/8

t = 6.25secs

Hence it will reach the maximum height after 6.25secs

To get the maximum height, you will substitute t - 6.25s into the given expression

s(t)= -4t^2 + 50t - 84

s(6.25) = -4(6.25)^2 + 50(6.25) - 84

s(6.25) = -156.25 + 312.5 - 84

s(6.25) = 72.25feet

Hence the maximum height reached by the rocket is 72.25feet

The rocket will reach the ground when s(t) = 0

Substitute into the expression

s(t)= -4t^2 + 50t - 84

0 = -4t^2 + 50t - 84

4t^2 - 50t + 84 = 0

2t^2 - 25t + 42 = 0

2t^2 - 4t - 21t + 42 = 0

2t(t-2)-21(t-2) = 0

(2t - 21) (t - 2) = 0

2t - 21 = 0 and t - 2 = 0

2t = 21 and t = 2

t = 10.5 and 2

Hence the time the rocket will reach the ground are after 10.5secs and 2 secs

3 0

3 years ago

Solve proportion round it to the nearest hundredth

Sunny_sXe [5.5K]

Answer:

7.7 = 2.3

3.6 b

7.7b= 8.28

7.7 7.7

b = 1.075324675

b = 1.08

A) If the last digit in the fractional part of 1.080 is less than 5, then simply remove the last the digit of the fractional part. With 1.080, rule A applies and 1.08 rounded to the nearest hundredth is:

7 0

3 years ago

A right triangle has a hypotenuse of length 9 inches. If one angle is 35 degrees, find the length of each leg.

Montano1993 [528]

90 + 35 = 125.
180 -125 = 55 degrees.

4.59^2 + 6.55^2 = 8^2
21.1 + 42.9= 64 inches

7 0

3 years ago

Please Help!

JulijaS [17]

Answer: $8865=6000(1+\frac{5\times t}{100})$