Answer:
3x - y + 7 = 0
Step-by-step explanation:
The given point is , ( -4 , -5) and the slope is 3. The point slope form is ,
=> y - y₁ = m( x - x₁)
=> y - (-5) = 3 { x - (-4) }
=> y +5 = 3( x + 4 )
=> y + 5 = 3x + 12
=> 3x - y + 12 - 5 = 0
=> 3x - y +7 = 0
<h3>
<u>Hence</u><u> the</u><u> </u><u>equation</u><u> of</u><u> the</u><u> line</u><u> is</u><u> </u><u>3x</u><u> </u><u>-</u><u> </u><u>y </u><u>+</u><u> </u><u>7</u><u> </u><u>=</u><u> </u><u>0</u><u> </u><u>.</u></h3>
The answer is : 60.0625
Explanation
The mean set is meaning the average
To determine the mean you add all the numbers and then divide by the number data of items
Adding all of them equals =961
Having in total of 16 numbers divide the total will equal=60.0625
Answer:
a1 =1
a2= 1/3
a3= 1/12
a4 = 1/60
Step-by-step explanation:
a(n+1) = an/(n+2)
if n=1
a(1+1)= a1/(1+2)
a2= a1/3
a2= 1/3
if n=2
a(2+1)= a2/(2+2)
a3= a2/4 = a2 × 1/4
a3= 1/3 × 1/4 = 1/12
if n=3
a(3+1)= a3/(3+2)
a4= a3/5 = a3 × 1/5
a4= 1/12 × 1/5 = 1/60
The answers are:
P ' = (-4,-7)
Q ' = (-8,-7)
R ' = (-3,3)
------------------------------------------------------------------------------------
All you do is swap the x and y coordinates of the given points P, Q and R
The general rule is (x,y) ---> (y,x)
So that's why something like P = (-7,-4) becomes P ' = (-4,-7) when we reflect over the line y = x. The other points are handled the same way.
1. 3/10
2. 3/14
3. 10/3
4. -35/8
6. 1/11
7. 1/6
9. 1/3
10. 3/8
11. -9/20
12. 12/21
15. 36
17. 27
18. 10 2/3
19. -49/2
20. 18/7