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inn [45]
3 years ago
5

Find the equation of the line with slope 5 and passing through (3,3)

Mathematics
1 answer:
tankabanditka [31]3 years ago
6 0

Answer:

The slope of 5 is 0.

Step-By-Step Explanation:

The slope of a line characterizes the direction of a line. So, to find the slope, you need to divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.

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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
What number must be placed in the box in the equation below to produce an equation that has more than one solution: 5u+3(4u-6)=-
Sergeeva-Olga [200]

Answer: the number must be placed in the box is 9

suppose: the number must be placed in the box is x

have:

5u + 3(4u - 6) = -3u -27 + 20u + x

⇔ 5u + 12u - 18 = -3u - 27 + 20u +x

⇔ 17u + 3u - 20u = -27 + 18 + x

⇔ 0 = x - 9

⇔ x = 9

Step-by-step explanation:

7 0
3 years ago
Which of the following distances is the longest?
Andru [333]
2,300 meters is the answer to your question.
6 0
3 years ago
Read 2 more answers
PLEASE HELP WILL GIVE BRAINLIEST!!!!
finlep [7]

Answer:

Make a graph

Step-by-step explanation: In order to plot points, you need to first make a graph. So you would make a graph and plot out the numbers on the line. Hopefully you know how to setup a graph and what goes on the x and y axis. So for the first one you would go left on the graph till you hit -3 and then down to -2 and then draw a point right there. For the second one you would go right to 2 and then up 4 and draw a point.

7 0
3 years ago
Read 2 more answers
Quantity of Jackets Price (in whole dollars) Total Revenue Marginal Revenue Total Cost Marginal Cost Profit (or loss) 0 20 1 20
KonstantinChe [14]

Answer:

18 dollars

Step-by-step explanation:

Marginal cost can be defined as the additional cost to produce every additional unit of a certain good. In mathematical terms;

Marginal cost = change in cost / change in quantity

For seven jackets, we have to find the difference between the cost of seven jackets and the cost of six jackets as follows

$101 - $83 = $18

Since the change in quantity is one, our marginal cost comes to $18.

3 0
3 years ago
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