Answer:
8
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (- 4, 6 ), thus
y = a(x + 4)² + 6
To find a substitute (- 3, 14) into the equation
14 = a(- 3 + 4)² + 6 ( subtract 6 from both sides )
8 = a
Thus the coefficient of the x² term is a = 8
Answer:
-2y2 - 4y - 7
Step-by-step explanation:
2y2 + 2y2 - 6y2 - 4y - 5 - 3 + 1
4y2 - 6y2 - 4y - 8 + 1
-2y2 - 4y - 7
The probability of rolling an odd number or a number less than 5 is 5/6.
Probability is the likelihood of the occurrence of an event. It is the ratio of number of events to number of possible outcomes.
The possible outcome from rolling a six-sided die is 1, 2, 3, 4, 5 and 6
P(odd number) = 3/6; P(less than 5) = 4/6; P(odd number and less than 5) = 2/6
Hence:
P(odd number or less than 5) = 3/6 + 4/6 - 2/6 = 5/6
The probability of rolling an odd number or a number less than 5 is 5/6.
Answer:
Step-by-step explanation:
we can say the angle is also +45° going in the clock wise direction. so take Tan(45)= 1
Cot(45) = 1
b/c Tan(45) = Sin(45) /Cos(45) = (
/2) / (/2) ofc that's just 1
b/c Cot(45) = Cos(45) / Sin(45) , which is the same as above 1
y = 8
using the ' gradient formula' m = (y₂ - y₁)/(x₂ - x₁)
with (x₁, y₁) = (3, 3), (x₂, y₂) = (- 5, y) and m = - 
(y - 3)/( - 5 - 3) = -
(y - 3)/(-8) = -
multiply both sides by - 8 to eliminate fractions
y - 3 = 5
add 3 to both sides
y = 5 + 3 =8
