05.05)On the coordinate plane below, what is the length of AB?


A coordinate plane is shown with the following points A at negative 7, 4; B at 8, 4; C at 8, negative 3; D at negative 7, negative 3. All points are connected to create a rectangle.

0505On the coordinate plane below what is the length of ABA coordinate plane is shown with the following points A at negative 7 4 B at 8 4 C at 8 negative 3 D a class=

Respuesta :

Answer:

Therefore the length of AB is 15 unit.

Step-by-step explanation:

Given:

A ≡ ( -7 , 4 ) ≡ (x₁ , y₁)

B ≡ ( 8 , 4 )  ≡ (x₂ , y₂)

C ≡ ( 8 , -3 )

D ≡ ( -7 , -3 )

To Find:

Length of AB =?

Solution:

Distance Formula between two points is given as

[tex]l(AB) = \sqrt{((x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2} )}[/tex]

Substituting the values we get

[tex]l(AB) = \sqrt{((8-(-7))^{2}+(4-4)^{2} )}\\l(AB) = \sqrt{((15))^{2}+(0)^{2} )}\\l(AB)=\sqrt{225}=15\ unit[/tex]

Therefore the length of AB is 15 unit.

Answer:

The answer is 14

Step-by-step explanation:

I got this answer because I took the same quiz and I am homeschooled too, I'm quite a few weeks ahead so this 14 is correct.