Answer:
(i) Not true for any cases, (ii) True for some cases, (iii) True for some cases, (iv) True for all cases.
Step-by-step explanation:
Now we proceed to check each statement in terms of concepts of function from Analytical Geometry:
(i) <em>Two lines that have the same y-intercept and the same slope intersect at exactly one point. </em>
False, two lines that have the same y-intercept and the same slope intersect at every point. Both lines are coincident. (Answer: Not true for any cases)
(ii) <em>Two lines that have the same y-intercept intersect at exactly one point. </em>
Conditionally true, two lines that have the same y-intercept intersect at exactly one point if and only if slopes are different. (Answer: True for some cases)
(iii) <em>Two lines that have the same slope do not intersect at any point. </em>
Conditionally true, two lines that have the same slope do not intersect at any point if and only if they share the same y-intercept. (Answer: True for some cases)
(iv) <em>Two lines that have two different slopes intersects at exactly one point.</em>
True, two lines that have two different slopes intersects at exactly one point no matter what y-intercepts they have. (Answer: True for all cases)
Answer:
14w -14
Step-by-step explanation:
6w + 2(4w - 7)
Distribute
6w+ 8w -14
Combine like terms
14w -14
Answer: Let x = the measure of the larger arc and
let y = the measure of the smaller arc which is closest to the angle’s vertex. We know that x + y = 180 because that is given.
The secant-secant angle has a measure that is half the difference of the intercepts arcs. That means (1/2)(x - y) = 32 for this problem
We just need to solve the system
x + y = 180 and x - y = 64
Adding the equations you get 2x = 244 so x = 122 degrees and y = 58 degrees
Step-by-step explanation:
We are given with an initial value of water equal to 12 ounces of water and the final value of water is 2 1/4 or 2.25 ounces. Since the two substances are the same, we can use direct subtraction to determine what was consumed after walking. The answer is 12-2.25 equal to 9.75 ounces
