Question

Plz help on bottom one no guessing

Answer 1

That's the distance formula, which is the Pythagorean Theorem applied to the points.

The distance between (a,b) and (c,d) is
`√((a-c)^2+(b-d)^2)`

a-c is the signed distance in the x direction between the points. b-d is the signed distance in the y direction between the points. Since the axes are perpendicular, these make a right triangle whose hypotenuse is the distance between the points.

Here that just means our distance is

`d = √((1 - -3)^2 + (2 - 3)^2) = √(4^2+1^2)=√(17) \approx 4.12`

Answer: B 4.1 units

Answer 2

The answer is B, 4.1 units.

To solve this problem, we can use the distance formula. The distance formual states that the distance between two points, (x₁, y₁) and (x, y) is:

`\sqrt{(x_(1)-x)^(2) + (y_(1)-y)^(2)}`

Now we can substitute the values of the points (-3, 3) and (1, 2) and solve. The expression become:

`\sqrt{(-3-1)^(2) + (3-2)^(2)}`=

=
`√(16 + 1)`=

=
`√(17)`

Rounded to the nearest tenth, the square root of 17 is 4.1, meaning that the answer is B, 4.1 units.