Answer:
vertex = (- 1, 1 )
Step-by-step explanation:
Given a parabola in standard form
y = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the vertex is
x = - 
y = x² + 2x + 2 ← is in standard form
with a = 1 and b = 2 , then
x = -
= - 1
substitute x = - 1 into the equation for y- coordinate of vertex
y = (- 1)² + 2(- 1) + 2 = 1 - 2 + 2 = 1
vertex = (- 1, 1 )
Answer:
The sum of the length of any two sides must be greater than the length of the third side, so the given lengths do not form a right triangle.
You got the dot on the right spot, the coordinates are (1.5,2.5) because you reflected across the x axis so the y coordinate changed. The distance between them are 5, because you move half of a unit two times which equals 1 whole unit and 4 whole units. 4+1=5
Answer:
There are 8 boys in the chorus and 16 girls in the chorus
The graph in the attached figure
Step-by-step explanation:
Let
x----> the number of boys
y----> the number of girls
we know that
-----> equation A
----> equation B
Solve the system of equations by graphing
Remember that the solution of the system of equations is the intersection point both graphs
The solution is the point (8,16)
see the attached figure
therefore
There are 8 boys in the chorus
There are 16 girls in the chorus
Answer:
Probability of function ' x ' is 
Step-by-step explanation:
Store - 1
Total number of car = 15.
The number of
Black car = 7.
Grey car = 6.
White car = 2.
Store -2
The number of car wishes to buy = 3 car.
The number of black car sold = x .
The probability of 'x' = ?.
P ( x ) = P ( first black ) * P ( second black ) * P ( third is black )
P ( x ) =
= 
So the probability of number of car sold is black or P ( x ) = 