Answer:
see explanation
Step-by-step explanation:
If AB is a tangent then ∠ ABC = 90° and Δ ABC is right
Using the converse of Pythagoras' identity
If the square of the longest side is equal to the sum of the squares on the other 2 sides.
15 is the longest side and 15² = 225
9² + 12² = 81 + 144 = 225
Thus Δ ABC is a right triangle at B
Thus AB is a tangent to the circle at B
Answer:
Adam will have to pay $22
Step-by-step explanation:
Hope this helps :)
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!
Because you can have a negative inside the absolute value so even if it is inside the absolute value of -3 will come out as 3.
y = -0.60x - 4
because the slope stays the same because it is parallel and the y intercept for the new equation ends up being -4