Answer:
44m
Step-by-step explanation:
area of a trapezoid = (a+b)* h/2
since the distance between two parallel sides is 15, that would be your height
plug everything in and you get:
480 = (20 + b) *15/2
b = 44
The value of c for which the considered trinomial becomes perfect square trinomial is: 20 or -20
<h3>What are perfect squares trinomials?</h3>
They are those expressions which are found by squaring binomial expressions.
Since the given trinomials are with degree 2, thus, if they are perfect square, the binomial which was used to make them must be linear.
Let the binomial term was ax + b(a linear expression is always writable in this form where a and b are constants and m is a variable), then we will obtain:
Comparing this expression with the expression we're provided with:
we see that:
Thus, the value of c for which the considered trinomial becomes perfect square trinomial is: 20 or -20
Learn more about perfect square trinomials here:
brainly.com/question/88561
<h2>
Hello!</h2>
The answer is:
The second option,
<h2>
Why?</h2>
Discarding each given option in order to find the correct one, we have:
<h2>
First option,</h2>
The statement is false, the correct form of the statement (according to the property of roots) is:
<h2>
Second option,</h2>
The statement is true, we can prove it by using the following properties of exponents:
We are given the expression:
So, applying the properties, we have:
Hence,
<h2>
Third option,</h2>
The statement is false, the correct form of the statement (according to the property of roots) is:
<h2>
Fourth option,</h2>
The statement is false, the correct form of the statement (according to the property of roots) is:
Hence, the answer is, the statement that is true is the second statement:
Have a nice day!
Y = e^tanx - 2
To find at which point it crosses x axis we state that y= 0
e^tanx - 2 = 0
e^tanx = 2
tanx = ln 2
tanx = 0.69314
x = 0.6061
to find slope at that point first we need to find first derivative of funtion y.
y' = (e^tanx)*1/cos^2(x)
now we express x = 0.6061 in y' and we get:
y' = k = 2,9599