The coordinate for the point M is (51/6, 13/6) if the point M on a segment with endpoints X (1, -2) and Y (10, 3) partitions the segment in a 5:1 ratio.
<h3>How to explain the information?</h3>
We have a line segment: XY with end coordinates X(1, -2) and Y(10, 3)
The coordinate for the point M:
x = (1+50)/6 = 51/6
y = (-2+15)/6 = 13/6
Thus, the coordinate for the point M is (51/6, 13/6) if the point M on a segment with endpoints X (1, -2) and Y (10, 3) partitions the segment in a 5:1 ratio.
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Answer:(theta) =π only
Step-by-step explanation:
-4cos(theta)+1=5
Subtract 1 from both sides
-4cos(theta)+1-1=5-1
-4cos(theta)=4
Divide both sides by -4
-4cos(theta) ➗ -4=4 ➗ -4
cos(theta)=-1
(theta)=cos(inverse)(-1)
(theta)=180
(theta)=π
Answer:
mx+b
m=slope
b=y-intercept
Step-by-step explanation:
Answer:
59.98
Step-by-step explanation:
To find the average of a set of numbers, we sum them all together and divide them by the size of the set. Here, we start out with 11 IQ scores. We don't know what they are, but we can still set up an equation with the information we do have. Let's call the sum of those 11 score <em>s</em>. The average must be s/11, which we know is 101.5. With that, we can set up and solve and equation for <em>s</em>:

Let's call the score of the reality TV star <em>r</em>. If we add their score to the set, we now have <em>12</em> scores. The sum of those scores is gonna be the sum of the previous scores, 1116.5, plus the reality TV star's score, r. To find the average, we divide the sum by 12. Finally, we're told that this average is exactly 98.04. Putting all of this into an equation gives us

We can now solve for r algebraically, first by multiplying both sides by 12:

And then subtracting 1116.5 from both sides:
