Answer:
The constant of variation is k = -2 ⇒ (B)
Step-by-step explanation:
The equation of the direct variation is y = k x, where
- k is the constant of variation
- The constant of variation k =
The given table has 4 points (-1, 2), (0, 0), (2, -4), (5, -10)
We can use one of the points <em>[except point (0, 0)]</em> to find the value of k
∵ (-1, 2) is a given point
∴ x = -1 and y = 2
∵ k =
→ Substitute the values of x and y in the relation above
∴ k = 
∴ k = -2
The constant of variation is k = -2
RS is perpendicular to MN and PQ.
We can use the slopes of these lines to determine the answer.
Slope is given by the formula
m=.
Using the coordinates for M and N, we have:
m=.
Since PQ is parallel to MN, its slope will be as well, since parallel lines have the same slope.
Using the coordinates for points T and V in the slope formula, we have
m=.
This is not parallel to MN or PQ, since the slopes are not the same.
We can also say that it is not perpendicular to these lines; perpendicular lines have slopes that are negative reciprocals (they are opposite signs and are flipped). This is not true of TV either.
Using the coordinates for R and S in the slope formula, we have
m=. Comparing this to the slope of RS, it is flipped and the sign is opposite; they are negative reciprocals, so they are perpendicular.
The answer is B. 2y+3
this is proven by multiplying the divisor of the original question and the solution
Answer:
Expression
Step-by-step explanation:
Remember, an expression is a mathematical phrase that contains numbers, variables, or both. Expressions never have an equal sign. An equation is a mathematical sentence that says two expressions are equal. My work don't copy®️
We know that the perimeter is the all the sides added up together. Generally, you have
, where l is length and w is width.
For a square, all sides are of the same length, so you can write
, where x is any side.
If the smallest perimeter is 14, then
, so x is 3.5. If the largest perimeter is 72, then
, so x is 18.
Therefore, you have 3.5 ≤ x ≤ 18.
