The ratio of 14 and 63 is:-
14:63
Answer:
k=-6
Step-by-step explanation:
Answer:
The solution set is the empty set.
Step-by-step explanation:
{x | x < 2} is the set of all numbers less than 2. This means x can take values such as 1.99, 0, -2000 and so on. That is, all values less than 2.
{x | x ≥ 2} is the set of all numbers equal to or greater than 2. This means x can take values such as 2, 2.1, 5000, and so on. That is, 2 or any value greater than 2.
Since there is no sign between the two sets, the question is asking for the intersection between these two sets. That is, what elements are common to these two sets? As we can see, the two sets don't have any common element. Hence, their intersection is the empty set.
(Note that the union of these two sets would be the set of all real numbers as that includes all elements from either set).
Answer:
It is true, because the cosine function has a period of 2π
Step-by-step explanation:
Since, the period of the cos function is 360° ( or 2π radians ), it holds the property of:
Taking as , is equal to
The equation is true!
<u>Note:</u> The cos function is even function
Hence, the equation is true, because the cosine function has a period of 2π, NOT because the cosine function is ODD, which it is not!!
1. y - y1 = m(x - x1)
slope(m) = -1/3
(3,6)...x1 = 3 and y1 = 6
now we sub
y - 6 = -1/3(x - 3) <==
2. y - 9 = -(x + 2)
y - 9 = -x - 2
y = -x - 2 + 9
y = -x + 7 <===
3. y - y1 = m(x - x1)
slope(m) = 0....horizontal lines have 0 slopes
(-4,-1)...x1 = -4 and y1 = -1
now we sub
y - (-1) = 0(x - (-4)
y + 1 = 0(x + 4) <===
4. x + 3y = 6
3y = -x + 6
y = -1/3x + 2.....slope here is -1/3. A parallel line will have the same slope
y = mx + b
slope(m) = -1/3
(5,3)...x = 5 and y = 3
now we sub and find b, the y int
3 = -1/3(5) + b
3 = -5/3 + b
3 + 5/3 = b
9/3 + 5/3 = b
14/3 = b
ur equation is : y = -1/3x + 14/3
5. Perpendicular lines have negative reciprocal slopes. For example : the slope of one line will be 3 and the slope of the other line would be -1/3.
(-1,-4) / (3,3)
slope = (3 - (-4) / (3 - (-1) = (3 + 4) / (3 + 1) = 7/4
that means our other line has to have slope of -4/7, the negative reciprocal
(-3,3)(4,-1)
slope = (-1 - 3) / (4 - (-3) = -4/7
so ur answer is (4,-1)