Linear equations can be written in the form <em>y = mx + b</em> where the multiplier "m" represents the slope of the line.
The linear equation <em>y = -8x + 6</em> has a slope equal to 3.
An image providing where the slope of the line is in y = mx + b is provided.
<span>Highest point = 1406.25
Number of seconds = 9.375
We've been given the quadratic equation y = -16t^2 + 300t which describes a parabola. Since a parabola is a symmetric curve, the highest value will have a t value midway between its roots. So using the quadratic formula with A = -16, B = 300, C = 0. We get the roots of t = 0, and t = 18.75. The midpoint will be (0 + 18.75)/2 = 9.375
So let's calculate the height at t = 9.375.
y = -16t^2 + 300t
y = -16(9.375)^2 + 300(9.375)
y = -16(87.890625) + 300(9.375)
y = -1406.25 + 2812.5
y = 1406.25
So the highest point will be 1406.25 after 9.375 seconds.
Let's verify that. I'll use the value of (9.375 + e) for the time and substitute that into the height equation and see what I get.'
y = -16t^2 + 300t
y = -16(9.375 + e)^2 + 300(9.375 + e)
y = -16(87.890625 + 18.75e + e^2) + 300(9.375 + e)
y = -1406.25 - 300e - 16e^2 + 2812.5 + 300e
y = 1406.25 - 16e^2
Notice that the only term with e is -16e^2. Any non-zero value for e will cause that term to be negative and reduce the total value of the equation. Therefore any time value other than 9.375 will result in a lower height of the cannon ball. So 9.375 is the correct time and 1406.25 is the correct height.</span>
Answer:
= 3^9
Step-by-step explanation:
Answer:
I can't include a picture but it will be the same shape except it will be flipped over and will look a bit like differently angled packman with the back of the mouth apart the same distance, with the mouth "pointier" part of it one line away from the red line from the other side.... Oof sorry if this didn't help, I tried my best...
Step-by-step explanation:
From the "point" of the blue triangle, go diagonally SE 2 spaces. From there, draw a straight line to the right for 3 spaces. From there, draw upwards two spaces, and then connect those two lines into a triangle.
Answer:
try doing the 3rd option
Step-by-step explanation:
we know x is the missing value
x+3=8
so what plus 3 equals 8?
Well 5 of course
So x= 5
5+3=8
