Answer:
<em>YES</em>
Step-by-step explanation:
To see if it is a right triangle, find the relationship using:
_![c^2](https://tex.z-dn.net/?f=c%5E2)
If the sum of a and b squared is equal to c (the Pythagorean theorem) then it is a right triangle.
Insert the values, with the biggest number being c (this is because c represents the hypotenuse, and the hypotenuse is the longest side of a triangle):
_![39^2](https://tex.z-dn.net/?f=39%5E2)
Simplify exponents:
_![1521](https://tex.z-dn.net/?f=1521)
Simplify addition:
_![1521](https://tex.z-dn.net/?f=1521)
Find the relationship:
![1521=1521](https://tex.z-dn.net/?f=1521%3D1521)
It is a right triangle.
Finito.
Answer:
(x-7)²+(y+5)²=25
Step-by-step explanation:
The standard form of a circle is (x-h)²+(y-k)²=r²
(h,k) is the center
r is the radius
h=7
k=-5
r=5
(x-7)²+(y--5)²=5²
(x-7)²+(y+5)²=25
Answer:
108
Step-by-step explanation:
Limit as x approaches 9 of x^2 -81/sqrt of x - 3
First substitute x into the expression
= 9²-81/√9 - 3
= 81-81/3-3
= 0/0 (indeterminate)
Apply l'hospital rule
= lim x -> 9 d/dx(x²-81)/√x - 3
= lim x -> 9 2x/1/2√x
Substitute x = 9
= 2(9)/1/2√9
=18/1/(2(3)
=18 × 6/1
= 108
Hence the limit of the function is 108
X = 12
y = 9
z = 11
good luck :))