C(a,b), because the x-coordinate( first coordinate) is a (seeing as it is situated directly above point B, which also has an x-coordinate of a) and the y-coordinate ( second coordinate) is b (seeing as it is situated on the same horizontal level as point D, which also has a y-coordinate of b)
the length of AC can be calculated with the theorem of Pythagoras:
length AB = a - 0 = a
length BC = b - 0 = b
seeing as the length of AC is the longest, it can be calculated by the following formula:
It is called "Pythagoras' Theorem" and can be written in one short equation:
a^2 + b^2 = c^2 (^ means to the power of by the way)
in this case, A and B are lengths AB and BC, so lenght AC can be calculated as the following:
a^2 + b^2 = (length AC)^2
length AC = √(a^2 + b^2)
Extra information: Seeing as the shape of the drawn lines is a rectangle, lines AC and BD have to be the same length, so BD is also √(a^2 + b^2). But that is also stated in the assignment!
Answer:
perpendicular
Step-by-step explanation:
3y = x + 4 in slope intercept form y = 1/3x +4/3
3x + y = 1 in slope intercept form y = -3x +1
the slopes are negative reciprocals of each other so they are perpendicular
Answer:
They are equal.
Step-by-step explanation:
First, we can simplify the second equation by multiplying 7 times 6 and then 7 times 5 due to the distributive property.

Therefore, using the distributive property, they are equal.
I’m not the best at math, but ⬇️
For example, apply the distributive property to the expression 3(2 + x) to produce the equivalent expression 6 + 3x; apply the distributive property to the expression 24x + 18y to produce the equivalent expression 6 (4x + 3y); apply properties of operations to y + y + y to produce the equivalent expression 3y
Answer:
1. I need to see the table to answer that
2. I think you need to find the probability of getting 1, H. That probability is 1/10 which is also 10%.
3. can't answer a, but b is 1/14 or 7%
4. as a fraction= 1/6
as a percent= 17% (rounded up)
Step-by-step explanation:
2. I just took the outcome needed and decided by the possible outcomes.
3. That was a compound event so I just got the probability of flipping tails (1/2) and multiplied it by the probability of getting a white ball (1/7)
4. another compound event, I got the probability of getting a medium (1/3) and multiplied it by getting yellow (1/2)
hope this helped!