In order to find zeroes of a function, we will probably want to use our quadratic formula.
-b±√b^2-4(a)(c)/2a
If we know our values, we can plug it in.
Our values:
A=1 (Since there is no number in front of x, it is an assumed 1)
B=17
C=72
Now, We can plug it into our formula.
BE SURE TO PUT PARENTHESIS AROUND ALL TERMS!
-(17)±√(17)^2-4(1)(72)/2(1)
Now we can type it into a calculator!
When we plug it into the formula. It gives us two real solutions (or zeroes) which are represented as:
-8 & -9.
Answer:
8 cubic inches
Step-by-step explanation: I just know
Divide the long leg by the square root of 3 to find the short leg. Double that figure to find the hypotenuse.
Answer:
km
Step-by-step explanation:
The submarine's path from its base forms a right triangle when its final position is "connected" to the base. We know that the right triangle has legs of 
km and 
km, and we need to find the length of its hypotenuse. To do so, we can use the Pythagorean Theorem, which states that in a right triangle, 
, where 
and 
are the lengths of the triangle's legs and 
is the length of the triangle's hypotenuse. In this case, we know what and are, and we need to solve for c, so after substituting the given values of and into to solve for c, we get:
(Substitute 
and 
into the equation)
(Evaluate the squares on the LHS)
(Simplify the LHS)
(Symmetric Property of Equality)
(Take the square root of both sides of the equation)
(Simplify)
is an extraneous solution because you can't have negative distance, if that makes sense, so therefore, the submarine is approximately km away from its base. Hope this helps!
First is yes
Second is no
Third is no
Fourth is no
