Answer:
A, B, C and D.
Step-by-step explanation:
Opposite sides are congruent (B) as well as the 3 that are marked.
15 miles and 3/4th hope this helps
Answer:
x = 2√2
y = 2√6
Step-by-step explanation:
Consider the ratio of the two legs of the two smaller interior right triangles. (refer to attached diagrams for the triangles - I have outlined one in blue and the other in red)
These will be equal since the triangles are similar
shorter leg : longer leg
(blue triangle = red triangle)
⇒ x : 4 = 2 : x
⇒ x/4 = 2/x
⇒ x² = 8
⇒ x = √8
⇒ x = 2√2
Now we have x, we have the two legs of the right triangle with hypotenuse labelled y.
Using Pythagoras' Theorem a² + b² = c² (where a and b are the legs and c is the hypotenuse)
⇒ 4² + (2√2)² = y²
⇒ y² = 24
⇒ y = √24
⇒ y = 2√6
Answer: yes, because it is useful to describe changes in the behavior of the thing we are describing.
Step-by-step explanation:
A piecewise function f(x) is a function that is "different" depending on the range of the values of x, this is for example:
y = x -----> if x < 0
y = x^2 ----- if x ≥ 0
This is used to represent changes in the behavior of the thing we are describing.
For example, suppose an object that is moving with constant velocity, the velocity graph will be a constant line.
Now, the object suddenly, at a time t = t0 accelerates to a constant acceleration A, now the graph of the velocity is a linear graph with slope equal to A.
So this situation can be represent this with a piecewise function:
V(t) = c -----> if t < t0
V(t) = c + A*t -----> if t ≥ t0
So the answer is yes, we can.
