Answer:
If the line RS has been rotated 90 degrees, then VU will be perpendicular to RS and the two slopes must be opposite and reciprocal, i.e. product of the two slopes will equal -1.
As a verification, we find the locations of V and U from rotations of R & S.
(actually, the triangle had been rotated -90°, 90 ° clockwise)
Step-by-step explanation:
Slope RS, m1:
Slope VU, m2
Hence m1*m2=1*-1=-1, meaning that m1 and m2 are opposite (in sign) and are reciprocal to each other, as expected
<span>The sign value for x is positive and for y is negative. In standard position, the x point is at the origin, so the value will be 0. The terminal side is the line that moves to create the angle. At -60 degrees, the terminal side will be in the minus side of the y axis.</span>
It's equivalent to 1/5 square roots of x^2
Answer:
15 two-point questions and 5 four-point questions.
Step-by-step explanation:
Let x represent number of two-points questions and y represent number of four-points questions.
We have been given that Janice wants to create a test containing 20 questions. We can represent this information in an equation as:
Since all questions are worth 50 points. We can represent this information in an equation as:
From equation (1), we will get:
Upon substituting this value in equation (2), we will get:
Therefore, there are 5 questions that are worth 4 points each.
Now, we will substitute in equation (1) to solve for x.
Therefore, there are 15 questions that are worth 2 points each.
Answer:
8 cups of water : 1 cup of cleaner
Step-by-step explanation:
To find the ratio, divide one value by the other. 12÷1½=8, so the ratio is 8 cups of water : 1 cup of cleaner.
