Answer:
c = -3
Step-by-step explanation:
The discriminant is 73, that means we have:
(-1)^2-4*6*c=73
then: 1-24c=73
or -24c= 73 -1
-24c = 72
Then c = 72/-24= -3
The answer is -3
Hope that useful for you.
Step-by-step explanation:
First factor out the negative sign from the expression and reorder the terms
That's

<u>Using trigonometric </u><u>identities</u>
That's
<h3>

</h3>
<u>Rewrite the expression</u>
That's

We have
<h3>

</h3>
<u>Rewrite the second fraction</u>
That's
<h3>

</h3>
Since they have the same denominator we can write the fraction as

Using the identity
<h3>

</h3>
<u>Rewrite the expression</u>
We have
<h3>

</h3>
<u>Using the trigonometric identity</u>
<h3>

</h3>
<u>Rewrite the expression</u>
That's
<h3>

</h3>
Which is
<h3>

</h3>
<u>Using the trigonometric identity</u>
<h3>

</h3>
Rewrite the expression
That's
<h3>

</h3>
<u>Simplify the expression using symmetry of trigonometric functions</u>
That's
<h3>

</h3>
<u>Remove the parenthesis </u>
We have the final answer as
<h2>

</h2>
As proven
Hope this helps you
You're answers are correcy
Answer:
34 ft. tall
Step-by-step explanation:
Your first step should to draw a diagram. When you do that, your diagram should look like a right triangle, the leg, or the distance from the firetruck to the building, (we'll call this a) should be 30ft. and the hypotenuse, or the ladder (we'll call this c), should be 45ft.
Now we have a visual so it'll be easier.
We know that this problem is a right triangle and we know that to solve for a missing side of a right triangle you use pythagorean theorem: a^2+b^2=c^2
We know one leg 'a' and the hyp. 'c' and we just need to find 'b' the other leg (aka the building):
Plug in numbers and simplify:
30^2+b^2=45^2
900+b^2=2025
b^2=1125
≈33.54 OR 34 ft. tall
Answer:
42.5
Step-by-step explanation:
see attached image.