Answer:
<h2>
x=-3</h2>
Step-by-step explanation:
log(2x + 6) +8 = 3
Solve this log equation for x
First subtract 8 from both sides
log(2x+6)= -5
Now we convert it into exponential form
If log(x) = a then 10^a = x
log(2x+6)= -5 becomes
subtract 6 from both sides
Now we divide by 2 on both sides
x= -3 approximately
Answer:
Step-by-step explanation:
Given :
l + m + n = 9
l²+ m² + n²= 31
l + m + n = 9
On squaring both sides
(l + m + n)²= 9²
(l²+m²+n²+2(lm+mn+nl) = 81
31 +2(lm+mn+nl) = 81
2(lm+mn+nl) = 81 - 31
2(lm+mn+nl) = 50
(lm+mn+nl) = 50/2
(lm+mn+nl) = 25
Hence, the value of (lm+mn+nl) = 25
I believe the answer is D. Divide 37 by four and you get 9 remainder 1. I equals one.
Hope this helps mate.
Just remember that i to the fourth power is i.
Answer:
Option b. 
Step-by-step explanation:
step 1
In the right triangle ABC
<em>Find the sine of angle CAB</em>
---> the sine of angle CAB is equal to divide the opposite side angle CAB (BC) by the hypotenuse (AC)
substitute
simplify
---->equation A
step 2
In the right triangle BDC
<em>Find the sine of angle CBD</em>
---> the sine of angle CBD is equal to divide the opposite side angle CBD (DC) by the hypotenuse (BC)
substitute
----> equation B
step 3
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent
In this problem
Triangles ABC and BDC are similar by AA Similarity Theorem
therefore
m∠CBD≅m∠CAB
equate equation A and equation B
solve for DC
step 4
Find the value of AD
substitute the values
