Question

Find the distance between the two points rounding to the nearest tenth! PLEASE HELP ASAP!!!

Answer 1

10

Explanation:

d =√[(-3+9)²+(6+2)²]

= √(6²+8²)

=√(36+64)

=√100

= 10

Answer 2

`\boxed {\boxed {\sf d=10}}`

Explanation:

The distance between two points can be calculated using the following formula.

`d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2`

In this formula, (x₁, y₁) and (x₂, y₂) are the two points. We are given the points (-9, -2) and (-3,6). If we match the value with the corresponding variable we see that:

• x₁= -9
• y₁= -2
• x₂= -3
• y₂= 6

Substitute the values into the formula.

`d= \sqrt {(-3 - -9)^2 + (6 - -2)^2`

Solve inside the parentheses. Remember that 2 back to back negative signs become a plus sign.

• (-3 - -9)= (-3+9)= 6
• ( 6- -2)= (6+2) =8

`d= \sqrt{ (6)^2 + (8)^2`

Solve the exponents. Multiply the number by itself.

• (6)²= 6*6= 36
• (8)²= 8*8= 64

`d= \sqrt{(36)+(64)`

Add.

`d= \sqrt{100`

Take the square root of the number.

`d= 10`

The distance between the points (-9, -2) and (-3, 6) is 10.