Given:
The coordinates of ∆ABC are A(-3, 2), B(5, 8) & C(11, 0).
To find:
The type of the given triangle.
Solution:
Distance formula:

Using the distance formula, we get





Similarly,





And,





Two sides of the triangle are equal, i.e.,
. So, the triangle is an isosceles triangle.
Sum of square of two smaller side is




Using the Pythagoras theorem, we can say that the given triangle is a right triangle.
Therefore, the correct options are B and F.
Answer:
The answer is ⇒ x = 0.73244
Step-by-step explanation:
∵ 90^x = 27 ⇒ insert log in both sides
∴ 
∵ 90 = 9 × 10 , 27 = 3³
∵ log(a)^<em>b</em> = <em>b</em><em> </em>log(a)
∴ log(9 × 10)^x = x log(9 × 10)
∴ 
∵ log(a × b) = log(a) + log(b)⇒log(9 × 10) = log(9) + log(10)
∴ ![x[log(9)+log(10)]=3log(3)](https://tex.z-dn.net/?f=x%5Blog%289%29%2Blog%2810%29%5D%3D3log%283%29)
∵ log(10) = 1 , 9 = 3²
∴ ![x[log(3)^{2}+1]=3log(3)](https://tex.z-dn.net/?f=x%5Blog%283%29%5E%7B2%7D%2B1%5D%3D3log%283%29)
∴
∴ x = (3log3)/[2log(3)+1]
∴ x = 0.73244
5×2+8-4+1=15
cause
5×2=10
10+8=18
18-4=14
14+1=15
Channing lives 21275 feet from mckinley's house. hope this helps!
The rules of exponents tell you that you can distribute the exponent to each of the factors. When one already has an exponent, those exponents multiply.