Answer:
Point C
Step-by-step explanation:
We want to reflect across the x axis
That means the y coordinate changes sign
Z = ( 5 1/2 , 3)
Z' = ( 5 1/2 , -3)
That is point C
Step-by-step explanation:
The equation of a parabola with focus at (h, k) and the directrix y = p is given by the following formula:
(y - k)^2 = 4 * f * (x - h)
In this case, the focus is at the origin (0, 0) and the directrix is the line y = -1.3, so the equation representing the cross section of the reflector is:
y^2 = 4 * f * x
= 4 * (-1.3) * x
= -5.2x
The depth of the reflector is the distance from the vertex to the directrix. In this case, the vertex is at the origin, so the depth is simply the distance from the origin to the line y = -1.3. Since the directrix is a horizontal line, this distance is simply the absolute value of the y-coordinate of the line, which is 1.3 inches. Therefore, the depth of the reflector is approximately 1.3 inches.
Answer:
The equation is 
Step-by-step explanation:
Let the quadratic function be
The point (-4,9) must satisfy this function,
The point (0,-7) must also satisfy this function,
The point (1,-1) must also satisfy this function,
We put equation 2 into equation 1 to get;
We again put equation 2 into equation 3 to get;
We add equation 5 and 6 to get;
We put 
into equation 6 to get;
The equation is therefore
Answer:50 %
Step-by-step explanation:
Given
There are 4 girls and 6 boys in a club
Probability of choosing 1 girl and 2 boys is
No of ways of choosing 1 girl and 2 boys
i.e. 
Answer:
See explanation below.
Step-by-step explanation:
The first law of thermodynamic states that heat is a form of energy, and as such, is subject to the principle of conservation of energy (Energy is not destroyed or created but remains constant)
For example, when you put an ice cube in water, the ice will melt but the water will get colder, this is because the temperature between the ice cube and the water tends to an equilibrium and the total heat in the system remained the same during this time.
