Answer:
1,041.9feet
Step-by-step explanation:
Given the height of the rocket expressed as
y = -16x² + 245x + 104
At maximum height, dy/dx = 0
dy/dx = -32x+245
0 = -32x+245
32x = 245
x = 245/32
x = 7.65625
Get the maximum height
Recall that;
y = -16x² + 245x + 104
Substitute the value of x;
y = -16(7.65625)² + 245(7.65625) + 104
y = -937.890625 + 1,875.78125 + 104
y = 1,041.890625feet
Hcne the maximum height to the nearest foot is 1,041.9feet
Answer:
-2/3.
Step-by-step explanation:
To find the slope of a line given two points, you should use the formula, Slope=y2-y1/x2-x1.In this exercise is given the coordinates of two points and it is asked to find the slope of the line which intercepts both points, which are (1,7) and (10,1). To find the slope, you should substitute the given coordinates into the previous mention formula. Slope=y2-y1/x2-x1Slope=(7-1)/(1-10)Slope=-6/9Slope=-2/3The slope of the line that passes through the points.
Answer:
The square root of any prime number must be an irrational number. For example, because of this proof we can quickly determine that √3, √5, √7, or √11 are irrational numbers...
Answer:
y = (x+2)²-2
Step-by-step explanation:
Use the vertex form y = a(x-h)²+k. Plug in the vertex for h and k. Solve for a and you will get 1 for that value. You can check your answers by plugging in both of those points to make sure.