Suppose there is a rectangle with a width and length of x and y. The area would be xy.
A rectangle with width and length 2x and 2y would have an area of 4xy.
In essence, when you multiply the lengths by 2, the area multiplies by 2 SQUARED.
4(4(x+3)) = 16(x+3).
The ratio will be the same for any value of x because the area is still being multiplied by the same 2².
Well to find the area of a circle given the radius you do: pi*12^2 Which is 452.4 in2
Pleas give brainliest?
Answer:
How long is the [shirt] in the air? 3 seconds
How many seconds after launching is the t-shirt at 17 feet? 0.25 seconds
Step-by-step explanation:
Formula to represent the shirt's flight path (given):
, where
is the height of the shirt,
is the initial velocity of the shirt,
is the shirt's starting height, and
is elapsed time since launch.
The function forms a parabola concave down. Since the shirt is caught at 17 feet, we want to second x-coordinate of a point with a y-coordinate of 17 that the function passes through. This is because the shirt was caught going down, not up.
Therefore, let
:
.
The second x-coordinate is the larger of the two and therefore the shirt was in the air for 3 seconds.
However, the first time the shirt reaches a height of 17 feet is on its way up, which occurs at 1/4 or 0.25 seconds (the first x-coordinate). Therefore, the t-shirt reached a height of 17 feet 0.25 seconds after launching.
Example :
x y
1 3
2 6
3 9
4 12
first thing u do is pick any 2 points (x,y) from ur table
(1,3) and (2,6)
now we sub those into the slope formula (y2 - y1) / (x2 - x1) to find the slope
(y2 - y1) / (x2 - x1)
(1,3)....x1 = 1 and y1 = 3
(2,6)...x2 = 2 and y2 = 6
sub
slope = (6 - 3) / (2 - 1) = 3/1 = 3
now we use slope intercept formula y = mx + b
y = mx + b
slope(m) = 3
use any point off ur table...(1,3)...x = 1 and y = 3
now we sub and find b, the y int
3 = 3(1) + b
3 = 3 + b
3 - 3 = b
0 = b
so ur equation is : y = 3x + 0....which can be written as y = 3x...and if u sub any of ur points into this equation, they should make the equation true....if they dont, then it is not correct
and if u need it in standard form..
y = 3x
-3x + y = 0
3x - y = 0 ...this is standard form