Answer:
19
Step-by-step explanation:
Let T be the set of positive integers less than 100 with a 9 in the ten's place.
T = {90, 91, 92, 93, 94, 95, 96, 97, 98, 99}
n(T) = 10
Let O be the set of positive integers less than 100 with a 9 in the one's place.
O = {9, 19, 29, 39, 49, 59, 69, 79, 89, 99}
n(O) = 10
The common element is 99.
The union of both sets is
Therefore, 19 positive integers are less than 100 those have at least one 9.
Answer:
Line 6
Step-by-step explanation:
The graph intersects at (-5, 16) and (2, 2)
Because she needs to plug the x's back into the equation
so 
or 
and 
or 
Answer:
Step-by-step explanation:
xy = k
where k is the constant of variation.
We can also express the relationship between x and y as:
y =
where k is the constant of variation.
Since k is constant, we can find k given any point by multiplying the x-coordinate by the y-coordinate. For example, if y varies inversely as x, and x = 5 when y = 2, then the constant of variation is k = xy = 5(2) = 10. Thus, the equation describing this inverse variation is xy = 10 or y = .
Example 1: If y varies inversely as x, and y = 6 when x = , write an equation describing this inverse variation.
k = (6) = 8
xy = 8 or y =
Example 2: If y varies inversely as x, and the constant of variation is k = , what is y when x = 10?
xy =
10y =
y = × = × =
k is constant. Thus, given any two points (x1, y1) and (x2, y2) which satisfy the inverse variation, x1y1 = k and x2y2 = k. Consequently, x1y1 = x2y2 for any two points that satisfy the inverse variation.
Example 3: If y varies inversely as x, and y = 10 when x = 6, then what is y when x = 15?
x1y1 = x2y2
6(10) = 15y
60 = 15y
y = 4
Thus, when x = 6, y = 4.
2nd answer choice
constant of variation is xy. XY=23. If X=7 then Y=23/7.
Answer:
216.5
Step-by-step explanation:
866/4
216.5
Applying the properties of a parallelogram, the values of x and y are: x = 8; y = 20.9
<h3>Properties of a Parallelogram</h3>
- The opposite sides in a parallelogram have the same length.
- Opposite angles are equal.
- Adjacent angles in a parallelogram are supplementary.
4x - 17 = 2x - 1 (equal sides)
4x - 2x = 17 - 1
2x = 16
x = 8
(3y+5) + (6y -13) = 180
9y - 8 = 180
9y = 180 + 8
9y = 188
y = 20.9
Therefore, applying the properties of a parallelogram, the values of x and y are: x = 8; y = 20.9
Learn more about parallelogram on:
brainly.com/question/12167853
