hello :<span>
<span>the parabola's equation is : f(x) = a(x-1)²-9
the coefficient of the squared expression in the parabola's equation is : a
but ; f(0) = -6 ... ( </span></span>y-intercepts (0,-6) )
-6 = a(0-1)²-9
-6 =a -9
a=3
f(x) = 3(x-1)²-9
<span> the x-intercepts when : f(x) =0
</span>3(x-1)²-9 =0
(x-1)² =3
x-1 = √3) or x-1 = -√3)
x= 1 +√3 or x= 1 -√3 are <span> the x-intercepts </span>
Answer:
10m×1.5m=15m squared total area of the wall
15×100=1500
1500÷200=7.5 bricks would be needed for that wall.
Answer:
a. 60
b. 25
Step-by-step explanation:
Given that the stained glass window has an area of 900 square inches and this is made of smaller rectangular stained glass pieces, the number of smaller rectangular stained glass pieces used will be equal to the total area (900 square inches) to the area of the smaller rectangular piece.
The area A of the rectangular piece of length l and width w may be stated as
A = l * w
Hence given that
- One window design is made of rectangular stained glass pieces that are 5 inches by 3 inches, number of stained glass pieces are used in the window
= 900/(3 * 5)
= 60
- Another window design is made of square stained glass pieces that are 6 inches by 6 inches, number of stained glass pieces are used in the window
= 900/(6 * 6)
= 25
Answer:
x = -10
Step-by-step explanation:
-2x - 10y = 20 (plug y=0)
-2x = 20
x = 20/-2
x = -10
To find out how much you need when you need a fraction of a number like 1/3 of 9, you can multiply the whole number by the fraction in most cases.
In some cases however, you can convert the whole number into a fraction and then divide it to get the amount in fractional units that you require.
For example:
1/3 of 9
Convert 9 to a fraction.
1/3 / 9/1
1/3 x 9/1 = 3/9
Therefore you would need 3 of 9 for 1/3.
