Answer:
1. (x - 3)² = 8
2. (x + 2)² = 3
3. (x + 6)² = 
4. (x + 3)² = 27
5. (x + 4)² = 13
6. 
Step-by-step explanation:
Completion of Square: 
In the following problems the terms in the RHS of the above equation may be missing. We balance the equation. Simplify it and re write it in terms of LHS.
1. x² - 6x + 1 = 0
Taking the constant term to the other side, we get:
x² - 6x = - 1
⇒ x² - 2(3)x = -1
⇒ x² -2(3)x + 9 = - 1 + 9 [Adding 9 to both the sides]
⇒ x² -2(3)x + 3² = 8
⇒ (x - 3)² = 8 is the answer.
2. 3x² + 12x + 3 = 0
Note that the co-effecient of x² is not 1. We make it 1, by dividing the whole equation by 3. And then proceed like the previous problem.
3x² + 12x = -3
Dividing by 3 through out, x² + 4x = - 1
⇒ x² + 2(2) + 4 = -1 + 4
⇒ x² +2(2) + 2² = 3
⇒ (x + 2)² = 3 is the answer.
3. 2x² + 24x = 29
x² + 12x = 
⇒ x² + 2(6)x + 36 = + 36
⇒ x² + 2(6)x + 6² = 
⇒ (x + 6)² = is the answer.
4. x² + 6x - 18 = 0
x² + 6x = 18
⇒ x² + 2(3)x = 18
⇒ x² + 2(3)x + 9 = 18 + 9
⇒ x² + 2(3)x + 3² = 27
⇒ (x + 3)² = 27 is the answer.
5. x² + 8x + 3 = 0
x² + 8x = -3
⇒ x² + 2(4)x = -3
⇒ x² + 2(4)x + 16 = - 3 + 16
⇒ x² + 2(4)x + 16 = 13
⇒ (x + 4)² = 13 is the answer.
6. 9x² - 30x + 6 = 0
9x² - 30x = - 6
⇒ x² 
x = - 6
is the answer.
Hey there!
24 tenths is 240
3 tenths is 30
1 one= 1
240-1=239
239-30=
209
Hope it helps!
841 rounded to the nearest 10th is 840...hope this helps u :)
Answer:
5 <= y <= 85
Step-by-step explanation:
Since the lowest weight possible is 5lbs (just the barbell and no weights) the lowest point of the range is 5lbs (the y intercept when x = 0)
The highest weight possible is 85lbs since, there is only 8 pairs of weight plates (8 is the input value) and the pairs each weigh 10lbs (the slope of the graph) + 5lbs from the barbell (y-intercept).
Using the function given, if you input 8 as the x value, you get
85 = 10(8) + 5
So the highest value of the range is 85lbs, therefore the range is 5 <= y <= 85.
Answer:
The directions followed for each intersection in order are North, 3 times East, 2 times South
and 3 times East.
Step-by-step explanation:
For the word NASSA in their algorithm we know the direction they take in the first intersection is North (N).
The second letter is A = EEE, which means in the 3 next intersections they follow the East.
The two Ss indicate they follow South in the next 2 intersections.
And finally, they follow the East in the last 3 intersections.
Their direction choices can be summarized in North-East-East-East-South-South-East-East-East.
