Answer:
6 units
Step-by-step explanation:
Use the distance formula, 
.
Plug the x and y values from the given points into the distance formula:
![\sqrt{([-4]-2)^{2}+(5-5)^{2}}](https://tex.z-dn.net/?f=%5Csqrt%7B%28%5B-4%5D-2%29%5E%7B2%7D%2B%285-5%29%5E%7B2%7D%7D)
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Solve the square root:
= 
= 
I believe the answer is (0,0)
<span>sin θ = opposite/hypotenuse
P(18,24) lies in the first quadrant as both are positive.
x=18
y=24
Hypotenuse = sqrt (18^2 + 24^2)
</span><span>Hypotenuse = 30
</span><span>sin θ = 24/30
</span><span>sin θ = 4/5
</span>θ = sin^-1 (4/5)
<span>θ = 53.13 degrees</span>
Answer:
42=7(z-3)
We simplify the equation to the form, which is simple to understand
42=7(z-3)
Reorder the terms in parentheses
42=+(+7z-21)
Remove unnecessary parentheses
+42=+7z-21
We move all terms containing z to the left and all other terms to the right.
-7z=-21-42
We simplify left and right side of the equation.
-7z=-63
We divide both sides of the equation by -07 to get z.
z=9
