Answer:
Step-by-step explanation:
We have the polynomial x^2 + 18x + 81 and are being asked to factor this into two binomials.
A rule that I follow is what two numbers multiplied make c (in this case 81) and when added make b (in this case is 18).
So what two numbers when :
A. Multiplied make 81
B. Added make 18
This would be 9.
Now that we have the answer, we can put it into binomials.
(x + 9)(x + 9)
Since these are the same, we can combine it and make it into one.
Answer:
1. y = -2x + 5
2. y = 3/5x + 5
3. y = -4/5x - 4
4. y = - 1
5. yes
6. yes
7. yes
8. no
Step-by-step explanation:
1. (4,-3) parallel to y= -2x
-3 = -2(4)+b
b=5
2. (-5,2) parallel to y = 3/5x
2= 3/5(-5)+b
b=5
3. (-5,0) -4/5x
0 = -4/5(-5)+b
b = -4
4. (-4,-1)
y= -1
5. yes
6. yes
7. yes
8. no
- Same slope = parallel ex. y = -5x +7, y = -5x +12
- opposite reciprocal = perpendicular ex. y = -5x +7, y = 1/5x + 12
- to find "b" with slope and point
(x,y) y = mx + b
plug in the y value and x value in the eqaution and m=slope, solve for b
|PR| = |PQ| + |QR|; |PQ| = |QR| conclusion |PR| = 2|PQ|
|PQ| = 3y; |PR| = 42; |QR|=?
subtitute
42 = 2(3y)
6y = 42 |divide both sides by 6
y = 7
|QR| = 3(7) = 21
Answer:
Step-by-step explanation:
Angles 1 and 2 have common side, so they are adjacent. They are not making a right or straight angle.
Correct choice is D
