The pattern for first and second arrangement:
3 + 9 + 8 - 6 =14
10 + 2 + 7 - 3 = 16
Third arrangement:
11 + 8 + 17 - 4 = 32
the sum of the squares of the lengths of the legs of a right triangle equal the square of the length of the hypotenuse
Explanation
Pythagorean theorem is related to the right angle triangle and it states that
c^2= a^2 + b^2
Where C is the length of the hypotenuse
a and b are the length of the sides of the triangle
The theorem states that the sum of the squares of the lengths of the sides of a right triangle is equal to the square of the length of the hypotenuse
Answer:
(A) m = –3 and b = –3
Step-by-step explanation:
If m=–3 and b=–3
The system of linear equations:
y = –3x + 5
y = mx + b
Becomes
y = –3x + 5 ......(i)
y = –3x – 3 .......(ii)
Notice that 5 is added to -3x in (i) and -3 is added to -3x in (ii) and both equals y. This is impossible. Thus the system has no solution.
Answer:
1
Step-by-step explanation:
You only need two points to find the slope.
Let's use (1,7) and (2,8).
The formula for slope is (y2-y1)/(x2-x1)
Let's plug the values in:
(8-7)/(2-1) = 1.
So, the slope is 1.
