Since the sum of the angles of a triangle = 180°
Then <span>80º + (2x + 2)º + 5xº = 180</span>°
82° + (7x)° = 180°
(7x)° = 180° - 82°
x = 98° ÷ 7
∴ x = 14
We have two points:
The point slope form of the line:
Substitute
Answer:
Answer:
In words the answer is between t=0 and t=2.
In interval notation the answer is (0,2)
In inequality notation the answer is 0<t<2
Big note: You should make sure the function I use what you meant.
Step-by-step explanation:
I hope the function is h(t)=-16t^2+32t because that is how I'm going to interpret it.
So if we can find when the ball is on the ground or has hit the ground (this is when h=0) then we can find when it is in the air which is between those 2 numbers.
0=-16t^2+32t
0=-16t(t-2)
So at t=0 and t=2
So the ball is in the air between t=0 and t=2
Interval notation (0,2)
Inequality notation 0<t<2
Hello there!
So, remember that m = the slope, and slope intercept form is represented as y = mx + b. To find the y intercept, place the values of x, y, and the slope into the equation.
The first step, ____ = (____)____ + b should look like 3 = (2/5)10 + b once you plug the values for your x and y values and slope.
The second step, ___ = ____ + b should look like 3 = 4 + b since you should multiply 2/5 x 10.
The final step, -1 = b should look like since you subtracted 4 from both sides of the equation.
Y = 2/5x - 1 is your final equation. I hope this helps, have a great rest of your day!
A = 2lw + 2lh + 2wh
A = 2(43)(19) + 2(43)(35) + 2(19)(35)
A = 2(817) + 2(1505) + 2(665)
A = 1634 + 3010 + 1330
A = 5974in²
