Answer:
a)
b)
c)
d)
Step-by-step explanation:
We solve this using backward or forward substitution.
a) We have this:
then:
for we have:
from this, we can see that is a solution for this recurrence relation, where . This is:
b) We have with . Then:
but at the same time
we have:
or
by the next:
We can see that the recurrence rule is:
this is
c)Note that:
taking all this we have to:
then:
this is:
d)We take . Then:
replacing we have:
Answer: F.) 7 triangles
Step-by-step explanation:
Congruent means completely equal in side lengths and angles. Think of this weird figure like 4 triangles that are see through and are covering a diamond underneath
Of those 4 "see through triangles", there are 3 equal to ΔABC
Now on the diamond underneath, there is another 4. Its hard to actually explain what I mean, but take two triangles from that dimaond. Theyre gonna be congruent to ΔABC.
That's 4 + 3 = 7 total triangles
Answer:
;5x+7......... according to the order
$81! 70 + 11 = 81, therefore dan payed $81
Answer:
a = 4, b = - 5, c = 5
Step-by-step explanation:
Expand the product of factors on the left side and compare like terms on both sides.
(3x - 1)(ax + b) ← expand using FOIL
= 3ax² + 3bx - ax - b
= 3ax² + (3b - a)x - b
Equating coefficients of like terms with 12x² - 19x + c , then
3a = 12 ( divide both sides by 3 )
a = 4
3b - a = - 19
3b - 4 = - 19 ( add 4 to both sides )
3b = - 15 ( divide both sides by 3 )
b = - 5
c = - b = - ( - 5) = 5