Answer:

Step-by-step explanation:
Look at the picture.
This is an arithmetic series,
so
S(n) = (n/2)*(a(1)+a(n))
S(25) = (25/2)*(a(1)+a(25))
n=25
a(n) = 3n-2
a(1)= 3*1-2=1
a(1)=1
a(25) = 3*25-2=75-2=73
a(25)=73
S(25) = (25/2)*(1+73)=(25/2)*74=925
S(25)=925
Answer : 925
Using proportion...
length of barn length of tree
-------------------------------- = --------------------------------
length of barn's shadow length of tree's shadow
20 x
---- = ---
12 8
Using cross-multiplication...
20 x 8 = 12x
160 = 12x
x = 13 1/3 or 13.3333
The tree is 13 1/3 meters long.
Answer:

Step-by-step explanation:
we are given the zeros and a point where it goes through of a quadratic equation
remember that when the roots are given then the function should be

where a is the leading coefficient and x1 and x2 are the roots
substitute:

simplify:

now the given point tells us that when x is 2 y is -14 therefore by using the point we can figure out a
substitute:

simplify parentheses:

simplify multiplication:

divide both sides by -7:

altogether substitute:

since it want the equation y should be

recall quadratic equation standard form:

so simplify parentheses:

distribute:

hence,
the equation of the parabola in standard form is <u>2</u><u>x</u><u>²</u><u>+</u><u>4</u><u>x</u><u>-</u><u>3</u><u>0</u><u>=</u><u>0</u>