Since the coefficient of
in the line
is 0, it's a vertical line. The line that we want to find is parallel to
, so that line is vertical, too, i.e., it has the form
.
Then, as the line cointains the point
, which has the x-coordinate equal to -3, our line is
.
Answer: The probability is 2/5.
Step-by-step explanation: If there are 5 pink bows, 1 blue bow, and 4 purple bows, there are a total of 10 bows in the box. The probability of choosing a purple one is 4/10 (since there are 4 purple bows). 4/10 simplifies to 2/5.
Answer:
A
Step-by-step explanation:
This is a linear function whose slope is -3 and whose y-intercept is (0, 2). Answer A is correct.
Answer:
150 degrees
Step-by-step explanation:
Let's start off by looking at what we are working with in this specific problem:
We can see that we are looking at 2 angles, angle L and angle M, that add up to a total of 180 degrees (aka a straight line)
Now that we know that, we also have to keep is mind that angle L + angle M = 180 degrees.
Now that we've got all of that out of the way, let's set up a simple algebraic equation:
angle L + angle M = 180
We also know that angle L is 30 degrees so let's add it into the equation we have just created:
30 + angle M = 180
We now know that 30 plus angle M (whatever it might be) is equal to 180 so in order to solve this problem we have to do some simple subtraction.
180 - 30 = angle M
Now we are left with:
150 degrees = angle M
Answer:
Total distance = 30.3 units
Step-by-step explanation:
Coordinates for the location of Alanah, Mia, Teresa and Arena are,
Alanah → (2, 8)
Mia → (8, 16)
Teresa → (8, 2)
Arena → (14, 4)
Distance between two points and is given by the formula,
d =
Distance between Alanah and Mia =
=
= 10 units
Distance between Mia and Teresa =
= 14 units
Distance between Teresa and Arena =
=
= 6.3 units
Total distance of Alanah's trip to Arena = 10 + 14 + 6.3
= 30.3 units