Answer:
A
Step-by-step explanation:
∆ABC is similar to ∆DEF if and only if the ratio of their corresponding side lengths are the same.
Let's find out:
DE/AB = 10/5 = 2
EF/BC = 8/4 = 2
FD/CA = 12/6 = 2
The ratio of their corresponding side lengths are equal, therefore, ∆ABC is similar to ∆DEF based on the SSS Similarity Theorem.
The function is:
f ( x ) = x² - x - 72
This is a quatdratic function. So we can find the zeroes of the function with the formula:
x 1/2 = ( - b +/- √(b² - 4 ac) ) / ( 2a )
And we have: a = 1, b = - 1 and c = - 72
x 1/2 = ( 1 +/- √((-1)² - 4 · 1· ( - 72 )) ) / 2
x 1/2 = ( 1 +/- √( 1 + 288 ) ) / 2
x 1/2 = ( 1 +/- √289 ) / 2
x 1/2 = ( 1 +/- 17 ) / 2
x 1 = ( 1 - 17 ) 2 = - 16 / 2 = - 8
x 2 = ( 1 + 17 ) / 2 = 18 / 2 = 9
Answer: The zeroes are - 8 and 9.
You may express it as :
-18+24x+5x-40=8-20x
49x=56
x=56/49
You gather the like terms together.
if you have -3y +2x +6w -4 + 3y -5x +2w
you put the like terms together
so for the term y:
you have -3y +3y = 0
for x:
2x - 5x = -2x
for w:
6w + 2w = +8w
and you also had -4. if you put them together you get
0 -2x +8w -4
which is
-2x +8w -4
hope this helps
Answer: 572 yards
Step-by-step explanation:
The equation to find the area of a (base1 + base2) x height/2
The two bases are 14 and 30. Add them up to get 44.
Then, times that by the height. You get 1,144.
Lastly, divide 1,144 by 2. You get 572.
I hope this helped!
