Step 1.
Use the compass. Place the point of the compass on Q
Draw an arc that intersects the lines of the angle. ( the arc should intersect lines PQ and RQ)
Step 2.
Locate the place where the arc intersects line PQ, put your point on the intersection, and draw another arc that is a little bit bigger than half of the angle. Do the same for line RQ. (the result should be that the two arcs you just drew form a curved x. The arc that you drew in step 1 also should be running through the middle of your x)
Step 3.
You now should have a total of three arcs. Find the point where all three arcs intersect, and draw a line from the point to point Q
Answer:
Step-by-step explanation: x^(105)-x^(3m)=0
Equations:
m = k + 5
k = s + 2
m + k + s = 30
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Substitute for "m" and for "s"::
k+5 + k + k-2 = 30
3k +3 = 30
3k = 27
Kirsty has 9 marbles
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Mina has 9+5 = 14 marbles
Seb has 9-2 = 7 marbles
Answer:
three and three eighteenths
5 3/6 = 33/6
2 1/3 = 7/3 = 14/6
33/6 - 14/6 = 19/6 = 3 1/6 or 3 3/18
Answer:
y = 2x + 11
Step-by-step explanation:
The first thing we need to do
is to find the slope of the line that passes through the points (-4,-3) and (4,1)
Mathematically, that would be;
m = y2-y1/(x2-x1)
where (x1,y1) = (-4,-3) and (x2,y2) = (4,1)
substituting these. values we have;
m = (1-(-3))/(4-(-4)) = 4/8 = 1/2 or 0.5
Now we are told this line is perpendicular to another line that passes through another point.
We can find the slope of this other line
Since both lines are perpendicular, the product of their slope is -1.
Thus , -0.5 * m = -1
m = -1/-0.5 = 2
So the slope of the other line is 2
Using the point-slope form;
y-y1= m(x-x1)
The point for the other line is (-4,3)
So the equation will be
y-3 = 2(x+4)
y-3 = 2x + 8
y = 2x + 11
