What algebraic expression is a product with a factor of 5
1 answer:
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Answer:
Step-by-step explanation:
Reduce the expression -4^2×4^2
Calcualte the product and you get -4^4
If you want the alternative form is will be -256
Hope this helpsʕ•ᴥ•ʔ
The value of r so the line that passes through (-5,2) and (3,r) has a slope of -1/2 is -2
<u>Solution:</u>
Given that line is passing through point (-5, 2) and (3, r)
Slope of the line is
Need to determine value of r.
Slope of a line passing through point is given by following formula:
--- eqn 1
On substituting the given value in (1) we get
Hence the value of "r" is -2
Answer: y-axis.
Explanation:
The equation <span>r = 3 - 4 sin θ may be graphed using cartesian coordinates (i.e. x and y) or polar coordinates.
The logical way is to graph in polar coordinates. I did it using </span>a graphing software and obtained the attached graph.
Also, I attached the graph in cartesian coordinates.
Here you have a table that you can build by your self and use the pairs to draw the graph (either cartesian or polar coordinates).
<span> <span><span> θ (rad) r = 3 - 4 sin θ </span> <span>
0 3 </span> <span>
π/8 2.61731657 </span>
<span> π/4 2.29289322 </span> <span>
3π/8 2.07612047
</span> <span> π/2 2
</span> <span> 5π/8 2.07612047 </span> <span>
3π/4 2.29289322 </span> <span>
7π/8 2.61731657 </span> <span>
π 3 </span> <span>
9π/8 3.38268343 </span> <span>
5π/4 3.70710678 </span> <span>
11π/8 3.92387953 </span> <span>
3π/2 4 </span> <span>
13π/8 3.92387953 </span> <span>
7π/4 3.70710678 </span> <span>
15π/8 3.38268343 </span> <span>
2π 3 </span> </span></span>
In both of the attached graphs you can see that the left side is equal to the right side, but the upper side is not equal to the bottom side.
Therefore, the graph is symmetric about the y-axis.
Explanation:
The equation <span>r = 3 - 4 sin θ may be graphed using cartesian coordinates (i.e. x and y) or polar coordinates.
The logical way is to graph in polar coordinates. I did it using </span>a graphing software and obtained the attached graph.
Also, I attached the graph in cartesian coordinates.
Here you have a table that you can build by your self and use the pairs to draw the graph (either cartesian or polar coordinates).
<span> <span><span> θ (rad) r = 3 - 4 sin θ </span> <span>
0 3 </span> <span>
π/8 2.61731657 </span>
<span> π/4 2.29289322 </span> <span>
3π/8 2.07612047
</span> <span> π/2 2
</span> <span> 5π/8 2.07612047 </span> <span>
3π/4 2.29289322 </span> <span>
7π/8 2.61731657 </span> <span>
π 3 </span> <span>
9π/8 3.38268343 </span> <span>
5π/4 3.70710678 </span> <span>
11π/8 3.92387953 </span> <span>
3π/2 4 </span> <span>
13π/8 3.92387953 </span> <span>
7π/4 3.70710678 </span> <span>
15π/8 3.38268343 </span> <span>
2π 3 </span> </span></span>
In both of the attached graphs you can see that the left side is equal to the right side, but the upper side is not equal to the bottom side.
Therefore, the graph is symmetric about the y-axis.