Answer:
that's standard form for slope
Step-by-step explanation:
have a nice day :)
Answer:
Looking at the first question, it's asking what best describes the probability of tossing a number less than 6 on a number cube that has 6 numbers. Impossible means that it will never land on it, for example asking what the probability of landing on 7 is. Unlikely is something that doesn't happen often. The best option that fits our scenario is option C, likely.
Looking at the second question, it's asking what the probability that the teacher chooses a girl in his class. There are 15 girls and a total of 27 students in the class so we take the probability by doing 15/27. We can narrow both the numerator and the denominator using 3 which gives us 5/9. Therefore, the best option that fits our scenario is option C, 5/9.
Finally, looking at the last question, it's asking what the theoretical probability that the coin will land on heads on the next toss. Theoretical probability doesn't consider how much times Murray tossed the coin, the only thing it cares about is what the actual probability of tossing a coin is. Therefore that makes it a 50% chance of landing on a heads and a 50% chance of landing on a tails. The best option that first our scenario is option B, 1/2.
<u><em>Hope this helps! Let me know if you have any questions</em></u>
All of those are true, except the one about the radius. Because alternate definition of diameter uses the idea of chord. So, both ends of a chord have to be on the circle, but one end of a radius is at the center, so a radius can't be a chord.
Answer:
AC = 3x + 3 (answers may vary)
Step-by-step explanation:
AB = 6x + 2
Answers may vary for this question,
Let's say that,
B = 4x + 1
So that means that,
A = 2x + 1
BC = 5x + 3
Since we chose
B = 4x + 1,
we must subtract B from BC to get C,
C = x + 2
Now we add A and C to get AC,
A = 2x + 1
C = x + 2
AC = 3x + 3
Answer:
Step-by-step explanation:
Please refer to the attached image.
Recall that in order to find the equation of a line parallel to another one, one needs to have the actual slope of the original line. This is because one will need to give the same slope in the equation for the new line.
Let's now try to extract the slope of the first line by looking at its graph. Recall as well that the formula for the slope uses information from two points on the plane 
through which the line passes. We then try to find two points with easily identifiable coordinates. Please find two such points marked with red dots in the attached image. Their coordinates are also shown: (0,4) and (10,9).
Now let's use the formula for the slope (m) given two points
If we assign 
, and 
the slope becomes:
Then the parallel line we are going to build should also have slope "1/2"
Now, the next step is to create the equation of the new line using the slope m = 1/2 and also using the point (4,1) where it should be passing. So we use the "point-slope" formula to create the line:
where 
is the coordinate pair of thepont we want the line to go through (in our case the point (4,1)). Then:
which is the third option among your list of answers.
