Answer:
- (√30 - 1, 0)
- (-√30 - 1, 0)
Step-by-step explanation:
Making the equation of the parabola :
⇒ y = a(x - h)² + k
⇒ y = (x + 1)² - 17 - 13
⇒ y = (x + 1)² - 30
x-intercepts have y = 0 :
- 0 = (x + 1)² - 30
- (x + 1)² = 30
Taking the square root on each side :
- √(x + 1)² = √30
- x + 1 = ±√30
- x = ±√30 - 1
The x-intercepts are :
- (√30 - 1, 0)
- (-√30 - 1, 0)
Answer:
Step-by-step explanation:
Calculate the distance d using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 1, 4) and (x₂, y₂ ) = (6, - 2)
d = 
= 
= 
= ← exact distance
Answer:
4. 18-(-12)
Step-by-step explanation:
so i basically took 12 and added that to 18 [and got 30] to find out how many degrees it went up and then i solved each equation till i got 30. I hope this helped and that you could understand the way i did it.
Answer:
(x, y) = (-3, 2)
Step-by-step explanation:
Put the given value of y into the equation and solve for x.
... 7·2 +3x = 5
... 3x = -9 . . . . . . subtract 14
... x = -3 . . . . . . . divide by the x-coefficient
The solution (x, y) is (-3, 2).
Answer:
The correct option is;
3 + (-9) = -6, because -6 is 9 units to the left of 3
Step-by-step explanation:
The given information are;
Kelvin's score after the first round is shown at point K on the number line
The range of numbers on the number line = -10 to +10
The position of point K after the first round = +3
The number of points Kevin lost in the second round = 9 points
Therefore, Kevin's cumulative score = +3 - 9 = -6
Therefore, the expression that shows how many total points he has at the end is of round 2 = 3 + (-9) = -6, because -6 is 9 units to the left of 3.
