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4 years ago

Slope = -2/5, contains the point (10,3)

Mathematics

1 answer:

Daniel [21]4 years ago

5 0

Answer: if this is supposed to be in slope-intercept form

the equation would be: y = -2/5x + 7

Step-by-step explanation:

so the slope is: -2/5 and the point is (10,3) considering that x = 10 and y = 3

so we would plug this information into this equation: y = mx + b (slope-intercept form)

3 = -2/5(10) + b

3 = -4 + b

b = 7

and if we plug this in:

y = -2/5x + 7

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3 years ago

Mark dropped an object from a bridge 400 feet above the ground level with an initial velocity of 0. He knows that the gravitatio

lisabon 2012 [21]

Answer:

The first listed equation is the correct equation to solve

The correct answer is: t = 5 seconds

Step-by-step explanation:

Let me mention first that there is an error in the statement that the gravitational pull of the Earth is 16 ft/s^2. It is in fact 32 ft/s^2, and the actual equation uses half of the acceleration multiplied by the square of the variable time, so it gives as final expression :

$y(t)=-16\,t^2+ 0 \,t +400$

and we want to find the value/s for "t" that make this equation equal zero (when it reaches the ground and the object just touches the ground. This makes the equation we want to solve:

$0=-16\,t^2+ 0 \,t +400\\16\,t^2+0\,t -400=0$

which solving for "t" becomes:

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So we adopt the positive answer (positive time) since the negative value has no physical meaning for this problem.

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3 years ago