A line has one dimension, length.
A plane consists of an infinite set of lines.
AnswA line can be written in the form y = mx + b where m is the slope and b is the y intercept.
Since the slope is given as 4, the equation will be y = 4x + b
Plugging in the point (2,1) to the equation we get 1 = 4(2) + b or 1 = b + 8
Solving for b gives b = -7 so the equation will be y = 4x - 7er:
Step-by-step explanation:
Answer:



.
Step-by-step explanation:
We use the Venn diagram to calculate the desired probabilities.
Note that there are 6 possible results in the sample space
S = {1, 2, 3, 4, 5, 6}
Then note that in the region representing the intercept of A and B there are two possible values.
So

In the region that represents event A there are 4 possible outcomes {4, 5, 1, 2}
So

In the region that represents event B there are 3 possible outcomes {1, 2, 6}
So
.
Now


The <em><u>correct answers</u></em> are:
B- x + y ≤ 10
; and D- x ≥ 4
Explanation:
The illusionist needs at least 4 female volunteers. This means he could use 4 or more; this means x, the number of female volunteers, is greater than or equal to 4:
x ≥ 4
The total of number of volunteers needed is up to 10. This means the illusionist can use 10 or fewer people; this means the total is less than or equal to 10.
The number of female volunteers is x and the number of male volunteers is y; together they create the expression x+y. This gives us
x+y ≤ 10