Answer:
A. The slope of Birch Street is 0. To be perpendicular to Elm, Birch would have to have a slope of negative 4/7.
Step-by-step explanation:
I had this same question on Gradpoint and got it correct.
To determine the answer of Part A draw the equilateral triangle and the to determine the coordinates of of the third charge use that triangle.
To calculate the gravitational field strength in part B from each of the charges use the following equation.
E=kcq/r2
If you would add those values then you can use the symmetry about the y axis to make the vector addition a litter easier.<span />
Both questions make use of the formula for the area of a triangle:
.. A = (1/2)*b*h
23. A = (1/2)*b*h
.. A = (1/2)*x*7 . . . . substitute the given values
.. A = 3.5x . . . . . . . simplified
24. A = (1/2)*b*h
.. 84.5 = (1/2)*13*h . . . . . substitute the given values
.. 2*84.5/13 = h = 13 . . . .solve for h
The height of the triangle is 13 cm.
Answer: C
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
This is exponential decay; the height of the ball is decreasing exponentially with each successive drop. It's not going down at a steady rate. If it was, this would be linear. But gravity doesn't work on things that way. If the ball was thrown up into the air, it would be parabolic; if the ball is dropped, the bounces are exponentially dropping in height. The form of this equation is
, or in our case:
, where
a is the initial height of the ball and
b is the decimal amount the bounce decreases each time. For us:
a = 1.5 and
b = .74
Filling in,

If ww want the height of the 6th bounce, n = 6. Filling that into the equation we already wrote for our model:
which of course simplifies to
which simplifies to

So the height of the ball is that product.
A(6) = .33 cm
A is your answer