Answer:
B
Step-by-step explanation:
The graph of x² is known as the parent function. From it, all quadratics can be transformed to make their graphs. It can undergo a series of transformations like translations up/down/left/right or stretch and compression vertically and horizontally. Usually the equation can tell you you what transformations it undergoes. Since g(x) is the same equation as x² except for 4/5 this is a vertical compression. Since it is the leading coefficient under multiplication and 4/5 < 1, this is a compression vertically. Answer B is correct.
2w+2(5+2w)=33
2w+10+4w=33
6w=22
w=11/3 or 3 and 2/3
Answer:
x = 5/2
y = -1/2
Step-by-step explanation:
if both equations start with 'y=' then set the expressions equal to each other
3/5x - 1 = x - 3
add 1 to each side to get:
3/5x = x - 1
subtract 5/5x from each side:
3/5x - 5/5x = -1
-2/5x = -1
multiply each side by -5/2:
x = 5/2
y = 2 1/2 - 3
y = -1/2
<h3>
Answer: 40</h3>
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Explanation:
JQ is longer than QN. We can see this visually, but the rule for something like this is the segment from the vertex to the centroid is longer compared to the segment that spans from the centroid to the midpoint.
See the diagram below.
The ratio of these two lengths is 2:1, meaning that JQ is twice as long compared to QN. This is one property of the segments that form when we construct the centroid (recall that the centroid is the intersection of the medians)
We know that JN = 60
Let x = JQ and y = QN
The ratio of x to y is x/y and this is 2/1
x/y = 2/1
1*x = y*2
x = 2y
Now use the segment addition postulate
JQ + QN = JN
x + y = 60
2y + y = 60
3y = 60
y = 60/3
y = 20
QN = 20
JQ = 2*y = 2*QN = 2*20 = 40
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We have
JQ = 40 and QN = 20
We see that JQ is twice as larger as QN and that JQ + QN is equal to 60.
The correct answer is A. Remember that slope is rise over run. Because the line slopes down, the answer is negative.