The lines are
i) y=-x+6
ii) y=2x-3
The solution of the system of equations is found by equalizing the 2 equations:
-x+6=2x-3
-2x-x=-6-3
-3x=-9
x=-9/(-3)=3
substitute x=3 in either i) or ii):
i) y=-3+6=3
ii) y=2(3)-3=6-3=3
(the result is the same, so checking one is enough)
This means that the point (3, 3) is a point which is in both lines, so a solution to the system.
In graphs, this means that the lines intersect at (3, 3) ONLY
Answer: The graph where the lines intersect at (3, 3)
<span>3m^-2 3n^3
--------- = -----------
5n^-3 5m^2
hope it helps</span>
Answer:
what do answer choices c & d say ?
Your answer would be 3/4 (three quarters).
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This can be simplified even further because both the numerator (6) and the denominator (8) can be divided by 2.
So-- 6 divided by 2 would be <u>3</u>, and 8 divided by 2 would be <u>4</u>. 3/4 cannot be simplified even further so this would be your final answer.
I hope this helped you out a bit :]
ANSWER
The length of a Diameter is 3.714
EXPLANATION
The circumscribed triangle is shown in the attachment.
We use the cosine ratio to find the altitude of the isosceles triangle.
Altitude =8cos(60°)
Altitude=4cm
Let the upper half of the altitude be y cm.
Then the radius of the circle is (y-4)cm
The upper radius meets the tangent at right angles.
From the smaller right triangle,
y=1.857
The diameter is 2y
=2(1.875)
The length of a Diameter is 3.714
