Answer:
Right triangle
Step-by-step explanation:
Properties for acute, obtuse or right triangle,
1). Given triangle will be a right triangle if,
Hypotenuse² = (Leg 1)² + (Leg 2)²
2). Triangle will be an acute triangle if,
(Largest side)² < (leg 1)² + (leg 2)²
3). Triangle will be an obtuse triangle if,
(Largest side)² > (leg 1)² + (leg 2)²
Now we apply these properties in the given triangle,
(Largest side)² = (√11105)²
= 11105
(leg 1)² = (76)²
= 5776
(leg 2)² = (73)²
= 5329
Since 11105 = 5776 + 5329 (First Property)
11105 = 11105
Therefore, given triangle is a right triangle.
Answer:
He has 18 full sheets.
Step-by-step explanation:
44 + 52 + 67 = 163
163/9 = 18.11
The question specifically asks for a whole number, not a decimal or fraction, so the answer is 18 full sheets.
Answer:
The equation of line for given points is y = - 40 x - 42
Step-by-step explanation:
Given two points as :
( -1 , - 2 ) and ( 3 , - 162 )
Now, Equation of line in points form
y -
= m × ( x -
)
Where m is the slope of line
And, m = 
or, m = 
or, m = 
∴ m = - 40
So, Slope of line for given points is - 40
Now equation of line can be written as
y - ( - 2 ) = ( - 40 ) × ( x - ( - 1 ) )
or, y + 2 = ( - 40 ) × ( x + 1 )
or, y + 2 = - 40 x - 40
or, y = - 40 x - 40 - 2
∴ y = - 40 x - 42
Hence the equation of line for given points is y = - 40 x - 42 Answer
• f(x) = 3x + 4
• g(x) = 8x + 1
Sum both functions above:
(f + g)(x) = f(x) + g(x)
(f + g)(x) = (3x + 4) + (8x + 1)
(f + g)(x) = 3x + 8x + 4 + 1
(f + g)(x) = 11x + 5
Therefore,
(f + g)(0) = 11 · 0 + 5
(f + g)(0) = 0 + 5
(f + g)(0) = 5 <——— this is the answer.
I hope this helps! =)