Answer:
m<√-3 OR m<√3i
Step-by-step explanation:
f(x)=x²+2m(x+1)-3
with x<0
b²-4ac<0
(2m)²-4(1×-3)<0
4m²+12<0
4m²<-12
m²<-12/4
m²<-3
m<√-3 OR m<√3i
Answer:
The roots are
<h3>

</h3>
Step-by-step explanation:
9x² + 54x + 82 = 0
Using the quadratic formula
That's
<h3>

</h3>
From the question
a = 9 , b = 54 , c = 82
Substitute the values into the above formula and solve
That's
<h3>

</h3>
Separate the real and imaginary parts
That's
<h3>

</h3>
We have the final answer as
<h3>

</h3>
Hope this helps you
Answer is B. Zero
Reason
Pick any points on that line, they will have the same y value , it means they lie on a horizontal line. The slope of such a line is 0.
The first equation is given to determine A.
cos A = 2/5
A = cos⁻¹(2/5) = 66.42°
Now that we know A, we use this value to the second equation.
4 + 4tan²A = 4 +24.996 4tan²(66.42°) = 24.996 ≈ <em>25</em>