Answer:
Step-by-step explanation:
If two lines are perpendicular, they create 4 90° angles. Meaning, in this case, that m<DBC = 90 and m<DBA = 90.
We're given that m<DBE = 2x - 1 and that m<CBE = 5x - 42.
The sum of angles DBE and CBE = m<DBC = 90°
We can add the two angles and set it equal to 90 to find x
In this problem we need to find the value of a and b. So given that t<span>he function should be in the form f(n) = an + b and we know each value of n, then out goal is to find a and b.
For getting this purpose, we need to find a system of two equations (given that we have two unknown variables)
Therefore:
(1) f(0) = a(1) + b = 18
</span>∴ a + b = 18
<span>
(2) f(1) = a(2) + b = 24
</span>∴ 2a + b = 24<span>
Solving for a and b we have:
a = 6
b = 12
Finally:
f(n) = 6n + 12</span>
Answer: 1&8
Step-by-step explanation:
1+8=9
8-1=7
When you multiply exponents like in the problem, you add them together.
So to find the answer, just subtract the final exponent of 'a' from the original.
6-2=4
The answer should be 4
