Answer:
19 blocks
Step-by-step explanation:
To amanda's house, it is 5 blocks (we count 1 to 6 = 5 units)
From amanda's to Karen's, is 6 units (we count from -1 to 5 = 6 units)
Now, to find Karen to own place, we have to use the Pythaogrean Theorem. It is applicable for right triangle (which is shown, Amanda's place is the right angle).
The two distance we found are the two legs of the triangle and the other side (what we need to find) is the hypotenuse (which is the side opposite of right angle). The theorem says:
Leg^2 + Another Leg^2 = Hypotenuse^2
We know the 2 legs' length, so we can solve for hypotenuse (Karen to Own place Distance). Shown below:

So, we have:
Hypotenuse^2 = 61
Hypotenuse = Sqrt(61) = 7.81
Rounded to nearest block, that is 8 blocks
So, total distance traveled is:
5 + 6 + 8 = 19 blocks
Answer:

Step-by-step explanation:






Answer:
2. (b) ∠ZYX
3. (b) noncollinear
Step-by-step explanation:
2. An angle is named by naming the two rays that make it up. The vertex (common end point of the two rays) is named in the middle.
Here, the rays making the angle are YX and YZ. The angle could be named either ∠XYZ or ∠ZYX.
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3. Points not on the same line are <em>noncollinear</em>. Point E does not lie on line AB, so points A, B, and E are noncollinear.
The answer 1 because x:x=1
<h2>
Answer:</h2>
c. Reflection over either the x-axis or y-axis will change the graph
<h2>
Step-by-step explanation:</h2><h3>
a. Reflection over the y-axis will not change the graph since sine is an even function.</h3>
This is false because
is an odd function, not an even one. This means that
, and a reflection over the y-axis will change the graph.
<h3>
b. Sin(x)=sin(-x)</h3>
This is false because we said that 
<h3>
c. Reflection over either the x-axis or y-axis will change the graph</h3>
This is true. Since
is an odd function, then reflection over either the x-axis or y-axis will change the graph as we said in a. So, for
:
<u>REFLEXION IN THE X-AXIS:</u>

<u>REFLEXION IN THE Y-AXIS:</u>

<h3>
d. Sin(x)=-sin(x)</h3>
False by the same explanation as b.