I must assume that you meant 2x - 3y = 9.
A line parallel to this line has exactly the same format, but a different constant on the right: 2x - 3y = c. Substituting the given values of x and y, we get:
2(4) - 3(-1) = 8+3 = 11. Thus, c = 11, and the equation of the new parallel line is
11 - 2x
2x - 3y = 11. Solving for y, -3y = 11 - 2x, or y = -------------
-3
so the slope of the parallel lilnes is 2/3.
A line perpendicular to the given line has a slope which is the negative reciprocal of 2/3: -3/2.
This perpendicular line has the equation
y + 1 = (-3/2)(x-4) (point-slope form), or
2y + 2 = -3(x-4) = -3x + 12. Then 2y = -3x + 12, and y = (-3/2)x + 6 (the perpendicular line's equation)
Answer:
The first option
Step-by-step explanation:
With 11 fish each weighing at roughly 2 pounds or more the total would be about 22 pounds or more which is given in the question, making the statement correct ;)
Hello there,
10,160,555 rounded to the nearest hundred thousand...
6 and up rounds up, 5 and below stays the same...
10,200,000
Answer: 10,200,000
Hope I helped!!
-Char
Answer: B) 0 real roots
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The general rule is...
if D > 0, then you have two different real roots (see note below)
If D = 0, then you have exactly one real root
If D < 0, then you have no real roots (the two roots are imaginary/complex)
where D is the discriminant found by the formula
D = b^2 - 4ac
Note: If D is also a perfect square, then the two real roots are also rational. This assuming that a,b,c are rational.
Answer:
30 inches
Step-by-step explanation:
She takes 12 equal sized steps and they all add up to 10 yards.
The length of each step (in yards) is:
10 / 12 = 5/6 yards
The question requires the answer in inches, therefore, we must convert this to inches:
1 yard = 36 inches
5/6 yards = 5/6 * 36 = 30 inches
Each step is 30 inches long.
