Answer:
The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept of this line is the value of y at the point where the line crosses the y axis.
Step-by-step explanation:
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Answer:
y=15; y=5
Step-by-step explanation:
y=x2+2x
plug in x as 3:
y=3 2+ 2*3
y=9+6
y=15
Next problem:
y=x3-3
plug in x as 2:
y=2 3-3
y=8-3
y=5
Well X should have the same value as B, but more information would be needed if you're looking for a more specific answer.
Answer:
See below ~
Step-by-step explanation:
1.
- x² + y² + 14x - 2y = -1
- [x² + 14x + 49] - 49 + [y² - 2y + 1] - 1 = -1
- (x + 7)² + (y - 1)² = 49
- Centre = (x, y) = (-7, 1)
- Radius = √49 = 7
2.
- x² + y² - 10x + 8y - 8 = 0
- [x² - 10x + 25] - 25 + [y² + 8y + 16] - 16 - 8 = 0
- (x - 5)² + (y + 4)² = 49
- Centre = (x, y) = (5, -4)
- Radius = √49 = 7
3.
- Points are : (-2, 1) and (4, 3)
- D = √(4 + 2)² + (3 - 1)²
- D = √36 + 4
- D = √40
- D = 2√10
Answer:
The answer is 0.3629
Step-by-step explanation:
Let E represent the elder bridge
Let Y represent the younger bridge
Let A represent the ancient bridge
The chance that the elder bridge will collapse next year is 16%
Pr(E) = 16%
= 0.16
The chance that the elder bridge will not collapse next year is Pr(E')
Pr(E')= 1 – 0.16
= 0.84
The chance that the younger bridge will collapse next year is 4%
Pr(Y) = 4%
= 0.04
The chance that the younger bridge will not collapse next year is Pr(Y')
Pr(Y')= 1 – 0.04
= 0.96
The chance that the ancient bridge will collapse next year is 21%
Pr(A) = 21%
= 0.21
The chance that the ancient bridge will not collapse next year is Pr(A')
Pr(A')= 1 – 0.21
= 0.79
The probability that exactly one of the bridge s will collapse next year is
1 – (Pr(E') n Pr(Y') n Pr(A'))
= 1 – (0.84*0.96*0.79)
= 1 – 0.637056
= 0.362944
= 0.3629(to 4 decimal place)