Answer:
The answer is below
Step-by-step explanation:
A triangle is a shape with three sides and three angles. There are different types of triangles such as isosceles, equilateral, scalene, obtuse, acute and right angled.
In a right angled triangle, the side with the longest length is known as the hypotenuse and this sides is always opposite to the right angle (90 degrees). Pythagoras states that the square of the hypotenuse is equal to the sum of the square of the remaining sides.
a) u² = h² + b² (1)
t² = h² + a² (2)
(a + b)² = t² + u²
(a + b)² = (h² + a²) + (h² + b²)
a² + b² + 2ab = 2h² + a² + b²
2h² = 2ab
h² = ab = 5(3) = 15
u² = h² + b² = 15 + 3² = 24
u = √24
b) u² = h² + b² (1)
t² = h² + a² (2)
(a + b)² = t² + u²
(a + b)² = (h² + a²) + (h² + b²)
a² + b² + 2ab = 2h² + a² + b²
2h² = 2ab
h² = ab = 4(2) = 8
h = √8
c) u² = h² + b² (1)
t² = h² + a² (2)
(a + b)² = t² + u²
(a + b)² = (h² + a²) + (h² + b²)
a² + b² + 2ab = 2h² + a² + b²
2h² = 2ab
h² = ab = 7(7) = 49
h = 7
u² = h² + b² = 7² + 7² = 98
u = √98
t² = h² + a² = 7² + 7²
t = √98
Step-by-step explanation:
Objective: Solving Piecewise Functions
Analyze the info in the graph.
We know that if x=1, the graph will coincide at 5.
If x is greater than 1, the answer will be x squared it answer so any positve interger greater than 1 the answer is that squared.
If x is less than 1, the answer will be double that x.
Let check the answer choices.
A is wrong because x is less than 1 so the answer should be 2(-2)=-4 not 4.
C is Wrong, since 5 is greater than 1, it must be 25 so 5^2=25
D and B are both right, 2 is greater than 1 so 2 squared =4 and Whenever x=1, it will equal 5.
Answer:
A. 11x-3
Step-by-step explanation:
perimeter=sum of all sides
=(x+3)+(2x-4)+(4x+5)+(3x-1)+(x)
= 11-3
Answer:
Step-by-step explanation:
The given function is
By the triangle inequality property,
and the alternate triangle inequality property;
We apply this property to get:
Expand parenthesis to get:
Simplify to get:
Group similar terms to get:
When x>5,
That's;
.02 multiplied by 1190. Your answer is 23.8. :)
