Answer:
Step-by-step explanation:
Method 1
we know that
The equation of a vertical parabola in vertex form is equal to
where
a is the leading coefficient
(h,k) is the vertex
we have
(h,k)=(-1,-9)
substitute
Remember that
one root is (-7,0)
substitute and solve for a
therefore
Method 2
I use the fact that the roots are the same distance from the vertex
the distance from the given root to the vertex is equal to
6 units
so
If one root is x=-7
then the other root is
x=-1+6=5
The general equation of the quadratic equation is equal to
we have the vertex (-1,-9)
substitute the value of x and the value of y and solve for a
so
Expanded the equation, complete the square and rewrite as vertex form
Answer:
The perimeter of a rectangular playground is 46 m. ... 46 – 14 = 32 32 / 2 = 16 ... new carpeting for her family room. Her family room is a 12 ft by 21 ft rectangle. ... Charles has a rectangular flower garden that is 5 yd long and 12 yd wide. ... After installing the carpet, Betty decides to also install floor wood molding for her living.
(i just added names for explanation)
Equation: n+4=12-10
a number= n
Btw: n is negative two..
Answer:
p=is the y-intercept
m=slope
Step-by-step explanation:
Answer:
D is your correct answer
Step-by-step explanation:
This is a quadratic equation which means that it has two roots which is your X-Intercepts. As seen on the graph, your X-intercepts are 3 and 5 which are your roots. Simple bring them over to the other side so you have (X-3) and (X-5)
You now multiply them into each other:
(X-5)×(X-3)=0
: X^2-8x+15