Answer:
Perpendicular slope is or .
Step-by-step explanation:
Given:
Let the perpendicular slope be x.
The given slope is
For perpendicular slopes, the product of the slopes is equal to -1.
Therefore,
Therefore, the perpendicular slope is or .
Answer:
- domain: [1, 2) ∪ (2, 4) ∪ (4, 6]
- range: [1, 3) ∪ (3, 5) ∪ (5, 6]
Step-by-step explanation:
The open circles identify points where the function is <em>not defined</em>. They are excluded from both the domain and the range.
The domain is the horizontal extent of the function. This function is defined on the interval [1, 6], except at points x=2 and x=4, so those values need to be excluded from the domain.
The range is the vertical extent of the function. This function is defined between y=1 and y=6, excluding values y=3 and y=5. Those y-values will be excluded from the range.
In the interval notation used above, the curved bracket means the value is excluded. All values up (or down) to that are included, but that one is not. The square bracket means the end value is included in the interval.
Answer:
<u>k = 5; y = 5x</u>
Step-by-step explanation:
The constant of proportionality is the value of y/x. Picking a random value on the graph, such as (2, 10), we can substitute this into the formula for k = y/x. 10/2 = 5. This satisfies one portion of the answer. Now, if we take the value of x from the same point, (2, 10), which is 2, and multiply it by 5, as illustrated in y = 5x, we get 10 for y. This suits the equation as mentioned and we can check other points with the same process to ensure that this answer is correct.
Might be wrong but a 190 angle would be number 1
Answer:
The answer is the first choice, x < −4.
Step-by-step explanation:
Let's solve your inequality step-by-step.
2x−2>4x+6
Step 1: Subtract 4x from both sides.
2x−2−4x>4x+6−4x
−2x−2>6
Step 2: Add 2 to both sides.
−2x−2+2>6+2
−2x>8
Step 3: Divide both sides by -2.
x<−4