what is the equation of the line that passes through the points (-1,3) and (0,1)?
Answer:
y = -2x + 1
Step-by-step explanation:
Slope m = (y2-y1)/(x2-x1)
using (-1,3) and (0,1)
m = (1 - 3)/(0 - -1)
m = (-2)/(1) = -2
Slope-intercept: y = mx + b
using (-1,3)
then 3 = -2(-1) + b
3 = 2 + b
b = 1
y = -2x + 1
The vertex form of the equation is h(t) = -5 ( t - 2)² + 104.
At its highest point, the brick was 101 meters above the ground.
The factored form of a quadratic function is given as:
f(x) = a(x – h)2 + k
where a, h, and k are constants.
We have,
h(t) = -5t² + 20t + 105
h(t) = -5 ( t² - 4t ) + 105
h(t) = -5 ( t² - 4t + 2² ) - 2² + 105
h(t) = -5 ( t - 2 )² - 4 + 105
h(t) = -5 ( t - 2 )² + 101 _____(1)
The vertex form of the equation is h(t) = -5 ( t - 2)² + 104.
From equation (1) we can say that at its highest point the brick was at
101 meters above the ground.
Thus,
The vertex form of the equation is h(t) = -5 ( t - 2)² + 104.
At its highest point, the brick was 101 meters above the ground.
Learn more about quadraticequations here:
#SPJ5
Answer:
h(t)=−5(t−2)^2+125, 125
Step-by-step explanation:
Answer:
Step-by-step explanation:
Perimeter is the sum of the side lengths
If polygon A has perimeter
Then polygon B has perimeter of
Since P = 144
We can write a ratio comparing the sides of both polygons.
A:B = 3:1
Since we know that 144 is the perimeter for polygon A, we can substitute it.
144:B = 3:1
~Simplify
144 = 3B
Divide 3 to both sides
48 = B
Therefore, the perimeter of B is 48 units.
Best of Luck!