Answer:
Yes, the two events are independent because P(NF|PB)=P(NF).
Step-by-step explanation:
<span>If this is an isosceles triangle, then it has two 45 degree angles corresponding to two legs of equal length. Orient the base of this triangle so that it's horizontal, and represent its length by b. Let h represent the height of the triangle. Then the area of this right triangle is 50 square inches = (1/2)(b)(h), or A = (b/2)h = 50 in^2.
Due to the 45 degree angles, the height of this triangle is equal to half the base, or h = b/2. Thus, (b/2)h = 50 becomes (b/2)(b/2) = 50, or b^2=200. Thus, b = 10sqrt(2), and h=(1/2)(10 sqrt(2)), or h = 5sqrt(2).
The length of one of the legs is the sqrt of [5sqrt(2)]^2+[5sqrt(2)]^2, or
sqrt(25(2)+25(2)) = sqrt(100) = 10.
</span>
a perfect square trinomial, (x + y)² = x² + 2xy + y²
so, if we have the x of the bx, what is left is the b
the expression would have to be (x + 7)², since we have the 49 and the x²
so, what's left: x² + 14x + 49,
b = 14
<em>hope it helps :)</em>
Answer:
1) 
2) 
3) 
4) 
5) 
Step-by-step explanation:
According to the information given in the exercise, the value of "x" is:

Then:
1) You must substitute
into the expresion
:

Now, you must evaluate:

2) You have to substitute the given value of "x" into the second expression:

Finally, evaluating, you get the following result:

3) According to the Zero exponent Rule, any non-zero number with an exponent of zero is equal to 1.
Then, substituting
into the expression
and then evaluating, you get:

4) By definition:

Then, substituting
into
and evaluating, you get:

5) Since:

When you substitute the given value of "x" into the last expression and then you evaluate, you get:

THE SLOPE IS -2
if we have the coordinates of two points on a line, we can find the slope with this formula:

so the slope is

the answer is -2
good luck