Y-(-1)=3(x-3)->y+1=3x-9->y=3x-10 so y=3x-10 is your new line
Step-by-step explanation:
sin 46°= a/12.8
a = sin46° * 12.8 = 9.20
cos59°=b/16.8
b = cos59°*16.8 = 8.65
9514 1404 393
Answer:
- 4 3-point baskets
- 7 2-point baskets
Step-by-step explanation:
Let x represent the number of 2-point baskets Nicoli made. Then (x -3) is the number of 3-point baskets. The total number of points is ...
2x +3(x -3) = 5x -9 = 26
5x = 35 . . . . . . add 9
x = 7 . . . . . . . divide by 5
(x -3) = 4 . . . find the number of 3-point baskets
Jokic made 7 2-point baskets and 4 3-point baskets.
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.
Answer:
probability of landing on a number greater than 2 on the spinner.
Step-by-step explanation:
A theoretical probability is given by the number of desired outcomes divided by the number of total outcomes.
In this question:
8 possible outcomes(all numbers from 1 to 8).
6 desired outcomes(3, 4, 5, 6, 7 and 8, that is, all the numbers greater than 2). So

probability of landing on a number greater than 2 on the spinner.