Question

GIRL NO!!!! IM FAILING CAN SOMEONE HELP ME ASAP ON THIS SCREEN SHOT

Answer 1

d = 306 m

Explanation:

calculate the distance d using the distance formula

d =
`\sqrt{(x_(2)-x_(1))^2+y_(2)-y_(1))^2 }`

with (x₁, y₁ ) = (10, 20) and (x₂, y₂ ) = (280, 164) ← house and beach coordinates

d =
`√((280-10)^2+(164-20)^2)`

=
`√(270^2+144^2)`

=
`√(72900+20736)`

=
`√(93636)`

= 306 m

Answer 2

The distance from Francesca's house to the beach is 306 meters.

Explanation:

Use the Pythagorean Theorem to find the straight-line distance from Francesca's house to the beach.

Step 1 Find the length of the horizontal leg.

The length of the horizontal leg is the absolute value of the difference between the x- coordinates of the points (280,20) and (10,20).

|280 - 10| = 270

The length of the horizontal leg is 270 meters

Step 2 Find the length of the vertical leg.

The length of the vertical leg is the absolute value of the difference between the y- coordinates of the points (280,164) and (280,20)

|164 - 20| = 144

The length of the vertical leg is 144 meters.

Step 3 Let a = 270 and b = 144. Let c represent the length of the hypotenuse. Use the Pythagorean Theorem to find c.

a² + b² = c²

270² + 144² = c² Substitute into the formula.

72900 + 20736 = c² Simplify.

93636 = c² Add.

√93636 = c Take the square root of both sides.

306 = c Simplify.

The distance from Francesca's house to the beach is 306 meters.