Answer:
The circle's diameter is approximately 24.2 cm
Step-by-step explanation:
You can use the Pythagorean theorem to solve this, my realising that the 5cm distance of the chord represends one side of a right triangle, half the chord's length is the other side, and the hypotenuse of the two is the circle's radius. With that we can say:
r = √(11² + 5²)
r = √(121 + 25)
r = √146
Now we can double that to get the diameter:
r = 2√146
r ≈ 24.2
Answer:
126
Step-by-step explanation:
52 * 3 = 126
Answer:
5x +y = 34
Step-by-step explanation:
Since a point and slope are given, it is convenient to start with point-slope form, then rearrange the equation to put it into standard form.
For slope m through point (h, k), the point-slope form of the equation of a line is usually written ...
y -k = m(x -h)
For m=-5 and (h, k) = (6, 4), the equation is ...
y -4 = -5(x -6)
y -4 = -5x +30 . . . . . eliminate parentheses
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Standard form looks like ...
ax + by = c
where a > 0 and GCD(a, b, c) = 1. Here's how we can get there.
5x +y -4 = 30 . . . . . . add 5x
5x +y = 34 . . . . . . . . . add 4 to get standard form.
False when you multiply numbers you add the exponents.
