Distance formula for calculating the distance between two points on a coordinate plane is given as: $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$ .

Let,

(-3, 4) = (x1, y1)

(2, -3) = (x2, y2)

Plug in the values

$c = \sqrt{(2 - (-3))^2 + (-3 - 4)^2} \\\\c = \sqrt{74} \\\\$

c = 8.6 units.

Therefore, using the distance formula, the distance between (-3, 4) and (2, -3) is: 8.6 units.

Learn more about distance formula on:

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5 0

2 years ago

H(x)= ⎩ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎨ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎧ 8+6x x+4 10 4x−3 , , , x<−7 −7≤x<−5 x≥−5

motikmotik

Answer:

$h(-6) = -\frac{1}{5}$

Step-by-step explanation:

Given

$h(x) =\left[\begin{array}{cc}8 + 6x\ \ &x < -7\\\frac{x + 4}{10} &-7 \le x$

Required

Determine h(-6)

To do this, we make use of:

$h(x) = \frac{x + 4}{10}$

Because $-7 \le -6$

So, we have:

$h(x) = \frac{x + 4}{10}$

$h(-6) = \frac{-6 + 4}{10}$

$h(-6) = \frac{-2}{10}$

Simplify

$h(-6) = -\frac{1}{5}$

4 0

3 years ago

Fatima has a total of $8 to spend to make fruit smoothies. She plans on spending all of the money and will use two types of frui

Digiron [165]

Answer:

0.5x+y= 8---------------1

Step-by-step explanation:

Given data

let the mango be x

and strawberries be y

So the equation for the cost is

$0.5x+y= 8---------------1$

7 0

3 years ago