Answer:
F = -16
Step-by-step explanation:
F/4-5=-9
Add 5 to each side
F/4-5+5=-9+5
F/4=-4
Multiply each side by 4
F/4 *4=-4*4
F = -16
Proving a relation for all natural numbers involves proving it for n = 1 and showing that it holds for n + 1 if it is assumed that it is true for any n.
The relation 2+4+6+...+2n = n^2+n has to be proved.
If n = 1, the right hand side is equal to 2*1 = 2 and the left hand side is equal to 1^1 + 1 = 1 + 1 = 2
Assume that the relation holds for any value of n.
2 + 4 + 6 + ... + 2n + 2(n+1) = n^2 + n + 2(n + 1)
= n^2 + n + 2n + 2
= n^2 + 2n + 1 + n + 1
= (n + 1)^2 + (n + 1)
This shows that the given relation is true for n = 1 and if it is assumed to be true for n it is also true for n + 1.
<span>By mathematical induction the relation is true for any value of n.</span>
1. b=2.4-4
b= -1.6
2. 1.2g/1.2 = 3.6/1.2
g=3
3. 3.75x/3.75 = 3/3.75
x= 0.8
4. w = -4.1 + 9
w= 4.9
5. p = -7.4 - 8.8
p= -16.2
6. y = 2.9 + 6.9
y = 9.8
7. A= 1.5 - 5.7
A= -4.2
8. V/0.2 * 0.2 = -3.5 * 0.2
V= -0.7
9. Z/9 * 9 = 1.6 * 9
Z= 14.4
10. -9.9t/-9.9 = -9.9/-9.9
t= 1
Answer:
Slope = -7/4
Step-by-step explanation:
Let's find the slope between your two points.
(0,0) ; (−4,7)
(x1,y1) = (0,0)
(x2,y2) = (−4,7)
Use the slope formula:
m = y2−y1 / x2−x1
= 7−0/−4−0
=7/−4
= −7/4
Answer:
m= −7/4
Hope this helps!!
Answer:
3rd angle of a triangle = x = 75°
Step-by-step explanation:
1st angle of a triangle = 50°
2nd angle of a triangle = 55°
3rd angle of a triangle = x = ?
We know that sum of three angle of triangle = 180°
1st angle of a triangle + 2nd angle of a triangle + 3rd angle of a triangle = 180°
50° + 55° + x = 180°
105° + x = 180°
x = 180° - 105°
x = 75°
3rd angle of a triangle = x = 75°
