Answer:
11.5
Step-by-step explanation:
3 x 3 5/6
3 x 23/6
=69/6
=11.5
Answer:
12.7 cm
Step-by-step explanation:
ABC
12² = 6² + BC²
12² - 6² = BC²
144 - 36 = 108
CB² = 108
√108 = 10.392
CB = 10.392
CBD
Sin (55°) = CB / CD
0.81915 = √108 / CD
CD = 10.392 / 0.81915
CD = 12.686
CD = 12.7cm
Exponentail thingies
easy, look at all them them, see that they have 5 in common?
rremember how esay it was to factor
ax^2+bx+c=0
now we have
5^(2x)-6(5^x)+5=0
remember that 5^(2x)=(5^2)^x or (5^x)^2
in other words, we can rewrite it as
1(5^x)^2-6(5^x)+5=0
if yo want, replace 5^x with a and factor
1a^2-6a+5=0
(a-1)(a-5)=0
a=5^x
(5^x-1)(5^x-5)=0
set each to zero
5^x-1=0
5^x=1
take the log₅ of both sides
x=log₅1
5^x-4=0
5^x=4
take the log₅ of both sides
x=log₅4
x=log₅1 and/or log₅4
second quesiton
same thing
1(2^x)-10(2^x)+16=0
factor
(2^x-8)(2^x-2)=0
set each to zero
2^x-8=9
2^x=8
x=3
2^x-2=0
2^x=2
x=1
x=3 or 1
first one
x=log₅1 and/or log₅4
second one
x=1 and/or 3
Answer:
x= -12
Step-by-step explanation:
-13+x=-25
+13 +13
x= -12
Answer:
the answer is
x=8
Step-by-step explanation:
3x = 24
divide
