Answer: The largest angle formed during his trip is at the mall between his home and the library.
Step-by-step explanation:
Hi, since the situation forms a right triangle (see image attached) the angle formed between his home and the library is 90°.
The sum of the interior angles of a right triangle is 180°, and the right angle (90°)is the largest angle formed.
So, the largest angle formed during his trip is at the mall between his home and the library.
Feel free to ask for more if needed or if you did not understand something.
Answer:
B) Vertex = (-5, 2)
Step-by-step explanation:
Vertex can be defined as defined as the point where two lines meet and form a particular angle with each other. It can also be described as the point where a line changes its direction
We can find vertex by two methods:
<h3>1) GRAPH</h3>
We can see in the graph attached below that the line changes its direction at point (-5, 2). So the vertex is (-5,2)
<h3>2) FORMULA</h3>
General form of equation of mod function is given by
y = a |x - h| + k
where Vertex = (h, k)
The given equation is
h(x) = 3 |x + 5| + 2
h(x) = 3 |x - (-5)| + 2
where h = -5 and k = 2
So the vertex is:
Vertex = (-5, 2)
Answer:
12
Step-by-step explanation:
the ratio of the 2 numbers = 3 : 4 = 3x : 4x ( x is a multiplier ) , then
3(3x) + 2(4x) = 68 , that is
9x + 8x = 68
17x = 68 ( divide both sides by 17 )
x = 4
smaller number = 3x = 3 × 4 = 12
B.
You can tell this by the shifts from the base graph of 2^x
449.55 x .333 = 149.70 if rounded from 149.70015
449.55 - 149.70 = 299.85
