Question

Please help me with these questions!!! will give you brainliest.

Answer 1

Hi, Hayesannaliese! There are two ways of solving this.

For right triangles, we can use the Pythagorean theorem. For this, we can see that (-2, 5) is 9 units above (-2, -4) and (6, 5) is 8 units right of (-2, 5). For the Pythagorean theorem, $a^2 + b^2 = c^2$. Plug in the a and b values below:

$(8)^2 + (9)^2 = c^2$

--> $64 + 81 = c^2$

---> $145 = c^2$

----> $\sqrt{145} = c$

c = 12.04 units

Second method: finding the distance between two points

$\sqrt{(x2 - x1)^2 + (y2 - y1)^2}$

For this problem, we need to find the distance between (-2, -4) and (6, 5).

So the equation is $\sqrt{(6 - (-2))^2 + (5 - (-4))^2}$

--> $\sqrt{8^2 + 9^2}$

---> $\sqrt{64 + 81}$

----> $\sqrt{145}$

= 12.04 units.

Hope this was helpful. Good luck. :)

Answer 2

Apply Pythagorean:
Hypotenuse^2 = 8^2 + 9^2
Hypotenuse = sqrt ( 64+81)
Hypotenuse = sqrt 145
Hypotenuse ~ 12.04