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:
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
<u>Algebra I</u>
- Slope Formula:
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Choose any 2 points from the chart.</em>
Point (-6, 11)
Point (-2, 1)
<u>Step 2: Find slope </u><em><u>m</u></em>
- Substitute:
- Subtract/Add:
- Simplify:
Answer: x = 1
Step-by-step explanation: In short, 0 is the only number such that for any number x, x + 0 = x. ... Well, it's the only number which can be multiplied by any other number without changing that other number. In short, the multiplicative identity is the number 1, because for any other number x, 1*x = x.
527,519
= 500,000 + 20,000 + 7,000 + 500 + 10 + 9
= (5) * 100,000 + (2) * 10,000 + (7) * 1,000 + (5) * 100 + (1) * 10 + (9) * 1
= (5) * 10⁵ + (2) * 10⁴ + (7) * 10³ + (5) * 10² + (1) * 10¹ + (9) * 10⁰
Answer:
C(4, 6) => dilated by a factor of 1/3 => C'( 3x2/3, 6x2/3) = C'(2, 4)
