The general form of the line is, 12x + 2y - 17 = 0.
What is general form?
The formula ax + by + c = 0 is one of the numerous formats in which linear functions can be expressed. The slope intercept form y = mx + b and slope-point form are two more examples.
Consider, the given equation of line
Multiply both sides by 6, we get
Subtract 12 on both sides,
12x + 2y - 5 - 12 = 0
12x + 2y - 17 = 0
This is the general form of equation of line where there are no fractions and the coefficient of x is positive.
Hence, the required equation is, 12x + 2y - 17 = 0.
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Answer:
(3, -2)
Step-by-step explanation:
The solution to a system of equations is the point where the two lines intersect. In the graph, you can see the the two lines intersect at the point (3, -2). Thus, the solution to the system is (3, -2).
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Answer:
b
Step-by-step explanation:
Answer:
the required answer is 3...
<h3>
Answer: 16 cm</h3>
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Explanation:
The drawing is shown below.
- Point A = center of circle
- Points B,C,E = points on the circle's edge
- Point D = midpoint of chord CE
The goal is to find the length of CE based on these facts
- BC = 34 = diameter
- AD = 15 = distance from center to chord
- x = length of segment CD = length of segment DE
Notice how AB = AC = AE = 17 because they are all radii of the same circle. We cut the diameter in half to get the radius.
Focus on triangle CAD. We'll use the pythagorean theorem to find x.
a^2 + b^2 = c^2
(AD)^2 + (DC)^2 = (AC)^2
15^2 + x^2 = 17^2
225 + x^2 = 289
x^2 = 289 - 225
x^2 = 64
x = sqrt(64)
x = 8
Segment CD is 8 cm long, and so is segment DE.
To wrap things up, we then say:
CE = CD + DE
CE = 8 + 8
CE = 16
Chord CE is 16 cm long.