Check the first picture. Our goal is to map <span>EFHG to E′F′H′G′.
</span>
All choices involve a rotation by 90° or 270°<span> counterclockwise about the origin.
consider a rotation </span>by 90° counterclockwise. Each point P(a, b) can be rotated 90° cwise about the origin to form P"(a",b") :
by drawing the right angle POP", such that |PO|=|OP"|.
or by plotting each P"(a",b") so that (a",b")=(-b, a)
for example if G(3, 1) is mapped to G(-1, 3) by either of the procedures described.
check picture 2.
EFHG is mapped to E′'F'′H'′G′'.
In order to map E′'F'′H'′G′' to E'F′H'G′, we need to translate the figure 1 unit right.
Answer:
"<span>A 90-degree counterclockwise rotation about the origin followed by a translation 1 unit to the right</span>"
Answer:
Step-by-step explanation:
Well, first you'd have to get the equations in slope-intercept form in order to make it easier for you to see it in the bigger picture. 2x+y=4 would be y= 2x-4, and the other equation would be y= x-3. If you were to solve it, there would be one solution since the y's cancel out. If you graphed it, there would be a point of intersection, unlike when the lines are parallel if there's 0 solutions or only one line's there if there's infinitely many solutions.
Answer:
<h2>10</h2>
Step-by-step explanation:
Given the function f(x, y) = 2 sin(xy) at (0,5), the maximum rate of change of the function at that point will occur in the direction 

Hence, the magnitude of the maximum rate of the function at the point (0, 5) is 10
Answer:
4(xy + 3w + 3z)
Step-by-step explanation:
The GCF is 4, so you can take that out and put it in front of the parentheses. Then you just divide all of the terms by 4 (4xy / 4 = xy; 12w / 4 = 3w; 12z / 4 = 3z), etc.