Answer:
4
Step-by-step explanation:
solving equation 1
- log125 base 5√5=x
- [5√5=√(25×5)=√125]
- log125 base 125=x
- [From one of the principles of logarithm " logA base a =1]
- therefore, log125 base 125=1
- x=1
solving equation 2
- log 64 base 2√2=y
- [2√2=√(4×2)=√8]
- log 64 base√8=y
- 64=(√8)^y
- 64=8^(½y)
- 8²=8^(½y)
- (8 cancels in both equations and I evaluate the powers figures)
- 2=½y
- y=2×2=4
the product of x and y=x•y=1×4=4
2+3i
------ should be multiplied (numerator and denominator both) by 2+i. This will
2-i remove i from the denominator.
(2+3i) 2+i 4 + 2i + 6i - 3 1 + 8i
-------- * ----------- = ---------------------- = ---------- (answer)
2-i 2+i 4+(-1) 8
You could also write this as (1/8) + i.
Answer:
theese are supplementary angles as their sum is greater than 180
Step-by-step explanation:
supplementary angles: angles whose sum is <180
complementary angles: 2 angles whose sum equals 90 degrees
vertical angles: opposite angles
24.15 for the first question. 32.2 x .75 + 24.15
108% for the second question. 81.54 divided by 75.5 = 1.08 made into percentage is 108%
Hope this helps, please mark brainliest if it was correct!!
We are asked to solve for the zeros of the given quadratic equation f(x) = 9x2 + 6x + 1. To solve this, first, we need to set the given equation into zero such as the succeeding solution is shown below:
0 = 9x2 + 6x +1
Perform factoring such as:
0 = (3x + 1) (3x + 1)
Solving for x1, we have:
3x + 1=0
3x = -1
x1 = -1/3
Soving for x2, we have:
3x +1=0
x = -1/3
Therefore, the zeroes of the given expression is both -1/3 for x1 and x2.