Answer:
x=-1
y=15
Step-by-step explanation:
This works because completing the square is essentially demonstrating what g(x) - where g(x) in this case = x^2 - would have to be translated by to give the function you have.
So by completing the square you have shown that the function you've been given has been shifted to the left by -1, stretched by a factor of 2 along the y axis and shifted up by 15.
Answer:
Surface area of prism=
Step-by-step explanation:
We are given that surface area of rectangular prism=
We have to write an expression that represents the surface area of prism.
Base of prism is made from length and width
Perimeter of base =2(l+w)
Area of base=lw=Area of top
Surface area of prism=Perimeter of base multiply by height+2 area of base
Because area of base and area of top are equal.
Surface area of prism=Ph+2B=2(l+w)h+2(lw)
Answer:
2/9
Step-by-step explanation:
To determine the fraction of students that walk to school, take the fraction of students that do not ride the bus and multiply by the fraction that walk
6/15* 5/9
Simplify the fractions
6/15 Divide the top and bottom by 3
2/5
2/5 * 5/9 = 2/9
Answer:
1/2.(x+12)=4x-1
x+12=2(4x-1)
x+12=8x-2
Group like terms
12+2=8x-x
14=7x
Divide both sides by 7
x=2
Step-by-step explanation:
Step-by-step explanation:
Here
BC=P=10
AC=B=b
AB=H=15
then using fourmula
h^2= p^2+ b^2
b^2= 15×15 - 10× 10
b^2= 125
b=11.2