Answer:
The correct options are
(b)y²-5y=750
(c)750-y(y-5)=0
(e)(y+25)(y-30)=0
Step-by-step explanation:
Given that,
The area of rectangular room is 750 square feet.
Let the length of the rectangular room be y feet.
Since the width of the rectangular 5 less than the length of the room.
Then the width of the given rectangular room is (y-5) feet.
We know the area of a rectangular plot is = Length×width.
The area of the rectangular room is = y(y-5) square feet
According to problem,
y(y-5) =750.........(1)
⇒y²-5y=750 .......(2)
⇒y²-5y-750=0
⇒y²-30y+25y-750=0
⇒y(y-30)+25(y-30)=0
⇒(y-30)(y+25)=0 ......(3)
⇒y-30=0 or, y+25=0
⇒y= 30, -25
The length of a rectangle can't negative.
So, x=30.
We can rewrite the equation (1) in form of
(i)
y(y-5) =750
⇒750= y(y-5)
⇒750-y(y-5)=0.......(4)
(ii)
y(y-5) =750
⇒y(y-5) -750=0.......(5)
The correct options are
(b)y²-5y=750
(c)750-y(y-5)=0
(e)(y+25)(y-30)=0
Its 55 and 57
I hope I answered your question
Translation of a function y = h(x) to the right/left is given by y = h(x + a) for translation to the left by 'a' units and y = h(x - a) for translation to the right by 'a' units
Translation of a function y = h(x) up/down the y-axis is given by y = h(x) + a for translation 'a' unit up and y = h(x) - a for translation 'a' unit down
So, translating f(x) = x² eight units right and two units up gives:
g(x) = (x-8)² + 2
Answer:-480
Step-by-step explanation:
We are given with two points of a parabola : v (5,-1) and f (3,-1). In this case, we can see that the parabola is opening to the left which means the standard form to be followed is -4a(x-h) = (y-k)^2. a is equal to 2. substituting, -4*2 (x-5) =(y+1)^2. This is equal to -8 (x-5) = (y+1)^2