Answer:
Option b is the correct answer
Step-by-step explanation:
The graph in the picture is the graph of a quadratic equation and it takes the shape of a parabola.
The points on the x axis through which the parabola cuts across is used to determine the solution of the quadratic equation.
Looking at the parabola formed from the plotted points, it cuts the x axis at
x = -1 and x= -2
These are the factors of the equation. To get the equation, we multiply the factors.
x= -1, x +1 = 0
x =-2 , x + 2= 0
The equation is (x+1)(x+2)
Expanding the brackets,
x×x + x×2 +1×x + 1×2
= x^2 + 2x + x +2
= x^2 + 3x +2 = 0
Option b is the correct answer
2a+1 + 3a+2 +5a-9 you would start by combining like terms
2a+3a+5a= 10a
1+2-9= -6
10a-6=94
then subtract 94-6=88
then divide 88 by 10= 8.8
a=8.8
The formula of the future value of annuity ordinary
Fv=pmt [(1+r)^(n)-1)÷r]
Fv future value
Pmt payment per year 4000
R interest rate 0.0215
N time 5 years
Fv=4,000×(((1+0.0215)^(5)−1)÷(0.0215))
fv=20,878.69
Answer:
2.8 cm
Step-by-step explanation:
The area of a trapezoid is calculated using the formula:
where
B is the length of the major base
b is the length of the minor base
h is the height of the trapezoid
In this problem, the glass window has the shape of a trapezoid. We know that:
B = 2 cm is the length of the top base
b = 4.5 cm is the length of the bottom base
is the area of the trapezoid
Solving for h, we can find the height of the stained glass window:
