Using the formula for the distance between two points, which is generated using coordinates and absolute value, we find that the distance between these two points is of 9 units.

Step-by-step explanation:

Distance between two points:

Suppose that we have two points, $(x_1,y_1)$ and $(x_2,y_2)$ . The distance between them is given by:

$D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

This formula is generated using coordinates and absolute value.

In this question:

(3,-7) and (3,2). So

$D = \sqrt{(3-3)^2+(2-(7))^2} = \sqrt{81} = 9$

The distance between these two points is of 9 units.

4 0

3 years ago

Which of the following is the maximum value of the equation y = −x2 − x + 6?

Ratling [72]

Step-by-step explanation:

f(x) = y= -x²-x+6

When y is max, f'(x) = 0

f'(x) = -2x-1

Equating to 0,

-2x-1= 0

x= -1/2

Put the value of x in f(x)

y = -(-1/2)² -(-1/2) +6

= -1/4+1/2+6

= 6+1/2

y= 13/2

4 0

2 years ago