What is that actual equation
Diagonals that bisect each other are perpendicular and form a right angle.
AEB is a right triangle.
We can apply the Pythagorean theorem:
c^2 = a^2+b^2
Where c is the hypotenuse (longest side) and a and b the other 2 legs.
Replacing:
AB^2 = AE^2+BE^2
AB^2 = 5^2+12^2
AB^2 = 25+144
AB^2 = 169
AB=√169 = 13
Lenght of AB= 13
Answer:
a. 0.58
b. 0.78
Step-by-step explanation:
a. The probability of egg come from B1 or B2
P(B1) = 3000/10000 = 0.3
P(B2) = 4000/10000 = 0.4
P(P1 ∪ B2) = 0.3 + 0.4 -(0.3)(0.4)
P(P1 ∪ B2) = 0.7 - 0.12
P(P1 ∪ B2) = 0.58
b. The probability that the market received an egg that is acceptable
P(received an egg that is acceptable) = P(B1 acceptable) + P(B2 acceptable) + P(B3 acceptable)
P(received an egg that is acceptable) = 0.80*3000 + 0.90*4000 + 0.60*3000 / 10000
P(received an egg that is acceptable) = 2400 + 3600 + 1800 / 10000
P(received an egg that is acceptable) = 7800 / 10000
P(received an egg that is acceptable) = 0.78
Answer
The line of symmetry x = -4
Step by step explanation
Here we have to use the formula.
The symmetry of a parabola x = -b/2a
Now compare the given equation y = 3x^2 + 24x -1 with the general form y = ax^2 + bx + c and identify the value of "a" and "b"
Here a = 3 and b = 24. Now plug in these values in to the formula to find the line of symmetry.
x = -24/ 2(3)
x = -24/6
x = -4
Therefore, the line of symmetry x = -4.
Thank you.
