Write the following equation in the general form Ax + By + C = 0. 2x + y = 6
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Answer:
Given the system of equation:
......[1]
......[2]
we can rewrite equation [2] as;
......[3]
Substitute equation [3] into [1] to eliminate x, and solve for y;
Using distributive property:
Combine like terms;
16 - 8y = -4
Add 4 to both sides we have;
20 - 8y = 0
Add 8y to both sides we have;
20 = 8y
Divide 8 to both sides we have;
Substitute the y-value in [3] we have;
x = 8 - 5 = 3
Therefore, the expression should be substituted into the first equation is, and also the value of x = 3 and y = 2.5
The distance between Ivy's house and the supermarket and the distance between the supermarket and the bank:
H&S = 1,014 M; and S&B = 854m. This is resolved using the Sine Theorem.
Notice that the Angles of a Triangle add up to 180° That is
∠A + ∠B + ∠C = 180°
Thus,
∠C = 180° - 32° - 109°
= 39°
Recall the Sine Theorem which indicates;
a/SinA = b/SinB = c/SinC
thus given that
AC = 1,523m
We have
AC/SinB = BC/SinA
BC = AC/SinB * SinA
= 1523/Sin109° * Sin32°
BC =854m
Therefore
AC/SinB = AB/SinC
Thus,
AB = AC/SinB * SinC
= 1523/Sin109° * Sin39°
AB ≈ 1,014m
Learn more about the Sine Theorem at;
brainly.com/question/27174058
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