Let the length of the rectangle is x. units , accordingly :
2.(x+3) = x×3.
2x + 6 = 3x.
x = 6 units is the answer :)
Answer:
<em>{9,19,39,79}</em>
Step-by-step explanation:
<u>Recursive Sequences</u>
The recursive sequence can be identified because each term is given as a function of one or more of the previous terms. Being n an integer greater than 1, then:
f(n) = 2f(n-1)+1
f(1) = 4
To find the first four terms of the sequence, we set n to the values {2,3,4,5}
f(2) = 2f(1)+1
Since f(1)=4:
f(2) = 2*4+1
f(2) = 9
f(3) = 2f(2)+1
Since f(2)=9:
f(3) = 2*9+1
f(3) = 19
f(4) = 2f(3)+1
Since f(3)=19:
f(4) = 2*19+1
f(4) = 39
f(5) = 2f(4)+1
Since f(4)=39:
f(5) = 2*39+1
f(5) = 79
Answer:
YES
Step-by-step explanation:
Explanation:
If this is a right triangle we can then substitute the sides of the triangle (12 and 35) and the hypotenuse (37) into the Pythagoras Theorem and the two sides of the equation will be equal. If this is not a right triangle the two sides of the equation will not be equal.
The Pythagoras Theorem is
a
2
+
b
2
=
c
2
Substituting we get:
12
2
+
35
2
=
37
2
12
⋅
12
+
35
⋅
35
=
37
⋅
37
144
+
1225
=
1369
1369
=
1369
Because these are equal this is a right triangle.
