Answer: C) All real values of x such that 
In other words, x must be 0 or smaller.
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Explanation:
The reason why is because we must make the stuff under the square root to never be negative. We must make -2x be 0 or larger.
So,
As an example, if x = -2, then -2x = -2(-2) = 4 is positive. Applying the square root to a positive number is valid.
But if x = 5, then -2x = -2*5 = -10 is under the square root, which is not allowed.
Answer:
( 5, 7), ( 5, 7), Yes M is the center
Step-by-step explanation:
It could help you under stand this by drawing it out on paper. I can't draw it here. You just need to visualize a circle with points A and B on the outside portion of the circle. Then there is point M inside the circle. You are trying to figure out if M is in the center or not.
Look at the coordinates for all 3 and find the distance from A to M and then B to M. Count the total distance of the x values and the y values keeping in mind that positive Y numbers are above the x axis and negatives are below. And, negative numbers for X are to the left of the y axis and positive is to the right.
From A ( -1, -9) to M ( -6, -2). Look at the x values. You are going from -1 to -6 which is a total of 5 points. Now look at y values. You are going from -9 to -2 which is a total of 7 points. So the distance in coordinates is ( 5, 7)
From B ( - 11, 5) to M ( -6, -2). Again look at x values. You're going from -11 to -6 which is 5 points. Looking at the y values, you are going from 5 to -2. This is 5 above the x axis going down to a -2 which is below the x axis. So the total is 7 points. The distance of these two is also ( 5, 7 ) which is the same as the other distance.
Therefore, you can state correctly that M is the center of the circle.
Answer:
1 it's a parabola
Step-by-step explanation:
Answer:
She has 15 more purple rocks than blue.
Step-by-step explanation:
purple= 2/3 of all rocks
blue= 3/4 of all rocks that aren't purple
silver= 3 (or 1/4 of all rocks that aren't purple)
if 3 (silver) is 1/4 of all rocks that aren't purple, blue (3/4) is 3x3=9
if purple is 2/3 of all rocks, blue and silver are 1/3 of all rocks
so 1/3 of all rocks would be 9+3=12
if 1/3=12, then 2/3 (purple)=24
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At this point:
purple=24
blue=9
silver=3
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purple (24) - blue (9) =15
She has 15 more purple rocks than she does blue.
