Answer: OPTION C
Step-by-step explanation:
By definition, the median is the middle number in the set.
Therefore, keeping the definition above on mind, to solve this problem the numbers must be arranged from least to greastest. In the figure shown in the problem, you can see that they are already arranged in this order. Therefore, the middle number in the set is:
14, 28, 33, 42, 53, 81, 97
Then, you can conclude that the median is: 42.
Therefore, the answer is the Option C.
Put them into y=mx+b
y=1/3x -1
y=2/3x-4
Graph them. Where they touch is your answer. No touch? No solution. Same line? Infinite solutions.
Second set: Same thing.
Solution to first set is (9,2)
Answer:
3. 9x+5+x-7=25
4. 10x-2=25
5. 10x=27
Step-by-step explanation:
3. 9x+5+x-7=25
4. 10x-2=25
10x=25+2
5. 10x=27
x=27÷10
x=2.7
Answer: Start with y2-y1/x2-x1
-4+7/-6+3
Answer=2.5 or 5/2
DONT TRUST ME THOUGH
Step-by-step explanation:
ANSWER

EXPLANATION
Since the directrix is

the axis of symmetry of the parabola is parallel to the y-axis.
Again, the focus being,

also means that the parabola will open upwards.
The equation of parabola with such properties is given by,

where

is the vertex of the parabola.
The directrix and the axis of symmetry of the parabola will intersect at

The vertex is the midpoint of the focus and the point of intersection of the axis of the parabola and the directrix.
This implies that,

and

The equation of the parabola now becomes,


Thus, the distance between the vertex and the directrix.
This means that,

Since the parabola opens up, we choose

Our equation now becomes,

This simplifies to

or

This is the same as,

The correct answer is D .