Answer:
Step-by-step explanation:
If the engine torque y (in foot-pounds) of one model of car is given by y=−3.75x^2+23.2x+38.8
The engine speed is at maximum if dy/dx = 0
dy/dx = -2(3.75)x+23.2
dy/dx = -7.5x + 23.2
since dy/dx = 0
0 = -7.5x + 23.2
7.5x = 23.2
x = 23.2/7.5
x = 3.093
Hence the maximum torque is 3.09 rev/min
Hey there!!
Steps to get into equation which is perpendicular:
- The slope of a perpendicular line is always negative reciprocal.
- Take the point and get that into point-slope form.
- y - y = m ( x - x )
- Convert this equation into slope-intercept form.
'm' is the slope.
We have the slope as 1/3
The perpendicular slope would be -3.
Point slope:
The point = (-2,2)
y - 2 = -3( x - (-2) )
y - 2 = -3(x+2)
y - 2 = -3x -6
Adding 2 on both sides:
y = -3x - 4
<em>Hence, the equation would be : </em>
<u><em>y = -3x - 4 </em></u>
Hope it helps!
Answer:
Rhombus, parallelogram, trapezoid, rectangle
C. quadrilateral, trapezoid; trapezoid
Step-by-step explanation:
This is a quadrilateral, it has 4 sides, it is not a rhombus because its sides aren't equal, it isn't a parallelogram because only two of its sides are parallel
Answer:
3/2
Step-by-step explanation:
The equation 3x-2y=4 can be written in the form of y=mx+c where m is the slope and c is the y intercept.
Therefore
2y=3x-4 and dividing both sides by 2 to have y at the LHS
y=3/2x-2
Therefore, 3/2 represents the gradient/slope
Answer:r=3cm,diameter =6cm and C=18.84cm
Step-by-step explanation:
To find the radius,diameter and circumference according to the diagram drawn above
r=3cm
Diameter=2×3cm
d=6cm
To find the circumference
C=2πr
C=2×3.14×3cm
C=18.84cm
