Answer:
x=-2
Step-by-step explanation:
To solve this, let's set the two exponents so that they have the same base. We know that 9 is 3², so we can rewrite the left side as (3²)^(x-8), which simplifies to 3^(2x-16). Now, we have 3^(2x-16) = 3^(4x-12). Since the bases are equal, the exponents are also equal. Therefore, 2x-16 = 4x-12. When we solve, we get -2x = 4, so x=-2. Hope this helps!
Answer:
x-45=12
Step-by-step explanation:
a number equals x
difference equals -
of a number and 45 so 45 first
is equals =
12 is after is so 12
Answer:
3 : 8
Step-by-step explanation:
9 boys + 15 girls = 24 Ratio is boys to total number of students = boys : total.no = 9 : 24 You simplify= 9 ÷ 3= 3 and 24 ÷ 3 = 8 <u>Answer</u> = boys : total.no = 3 : 8
Answer:
Step-by-step explanation:
(Tangent Length)^2 = y*(y + 11) You are going to have to use the quadratic formula on this.
Tangent Length = 7
7^2 = y * (y + 11)
49 = y^2 + 11y
0 = y^2 + 11y - 49
a = 1
b = 11
c = - 49
When you solve this quadratic equation you get
x1 = 3.40 which is the answer you go with.
x2 = -14.40 which can't be used. A negative length has no meaning.
