Answer:
(x + 3)² + y² = 16
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k) = (- 3, 0 ) and r = 4, thus
(x - (- 3))² + (y - 0)² = 4², that is
(x + 3)² + y² = 16
The vertices of the attached triangle are
A(9, 0)
B(0, 4)
O(0, 0)The leg lengths of this triangle are 9 and 4 units. Its area can be computed using the formula for the area of a triangle.
A = (1/2)(9)(4) = 18 . . . . square units
Since the result of this calculation is 18 square units, we know it has the correct area.
_____
The area measuring tool in the drawing app also shows the area to be 18.
Answer:
Can you show a picture? Or like tell us the options?
Answer:
Step-by-step explanation:
we are to distinguish between
dependent variable independent variable
vs
response variable explanatory variable
An independent variable is one which is not affected by any other variable for example, the amount we spend, the time we study ,etc.
An explanatory variable is a type of independent variable but not fully independent but depends on some factors.
Though explanatory and independent variables are practically used interchangeably the main difference is explanatory variable is not independent but explains the variations in the response varaible.
Answer:
D.The right hand side value of 150 for constraint 3 can be increased by at most 50 without changing the optimal corner point.
Explanation:
To maximize 10X1 + 7X2 + 5X3; subject to the constraints: X1 + X2 + X3 <= 100; 2X2 + X3 >= 70; -X2 + X3 <= 150, the right hand side value of 150 for constraint 3 can be increased by at most 50 without changing the optimal corner point.