Answer:
x = 4
Step-by-step explanation:
There is a 50/50 chance Bob and Wanda will sit next to each other.
Answer
y = 1(x +1) - 3
Explanation
A quadratic equation of the form y = ax^2 + bx + c
This written in complete the square form provides you with the vertex (either a maximum or minimum point depending on the equation).
This results in y = a(x + p) + q
Where - p is the x value and q is the y value of turning point.
For graph 22, x = -1 and y = -3
Therefore, the equation is of the form
y = a(x + 1) - 3 (*)
We still need the value a, this can be obtained by using the y-intercept we are given.
We are told x = 0 when y = -2
Substitute this in (*) equation:
-2 = a(0+1) - 3
-2 = a - 3
a = 1
Therefore final equation is
y = 1(x +1) - 3
This should provide you with the train of thought of how the second question should also be tackled.
If unsure about why the equation
y = a(x + p) + q gives the vertex ask in comments I will respond
Answer:
168 in²
Step-by-step explanation:
The square would be 36 in²
Area of a triangle is A= 1/2 bh
A = 1/2 (11 x 6), A= 1/2 (66)
1/2 (66) = 33 in², which is the area of a triangle.
Then you multiply 33 x 4 to get the area of all the triangles, which is 132 in²
You add the area of the square to the area of the triangles, which is 168 in².
