Answer:95139 units^2
Step-by-step explanation:
(31*31)*99 = 95139
So the answer should be 95139 units ^2
Answer:
a) y = 6x - 3
b) 1/3y = 2x -1
The first thing you need to do is isolate (y) in the second equation
3 x (1/3y) = 3 x (2x - 1)
y =6x - 3
After isolating (y) in equation b they end up being the same.
Graphing:
In order to graph this, you have to make the first point at (0, -3) since this is the Y-intercept of the equation.
In order to graph the other points, you must move 6 units up and 1 unit to the right. Or vise versa If you need a visual I'll gladly link one.
Answer:
Step-by-step explanation:
The vertical motion of the object is defined by using the height function h(t) such that :
h(t) = -16t² + vt + s , where t is the time instant , v is the initial velocity and s is the initial height of the object.
Now, the height of the bridge = 200 feet
So it would be the initial height ⇒ s = 200
Initially the speed is 0 because the body is in rest at time instant 0 sec.
Hence, the resultant equation is : h(t) = -16t² + 200
And the graph is attached below :
67.5 square feet
Working
A = 1/2*base*height
A = 1/2*15*9
A = 67.5 sq. feet
Answer:
x = 81, y = 68 and z = 99
Step-by-step explanation:
The external angle of a triangle is equal to the sum of the 2 opposite interior angles.
z is an exterior angle, thus
z = 63 + 36 = 99
x and z form a straight angle and are supplementary, so
x + z = 180, that is
x + 99 = 180 ( subtract 99 from both sides )
x = 81
The sum of the 3 angles in a triangle = 180°, thus
z + y + 13 = 180, that is
99 + y + 13 = 180
112 + y = 180 ( subtract 112 from both sides )
y = 68