Answer:
Step-by-step explanation:
<u>Given function</u>
From the table we get the function g(x), use pairs (1, 10) and (3, 14)
<u>The slope:</u>
- m = (14 - 10)/(3 - 1) = 4/2 = 2
<u>The y-intercept:</u>
- 10 = 2(1) + b
- b = 10 - 2
- b = 8
<u>The function g(x) is found as:</u>
<u>The y- intercept of f (x) is subtracted from the y-intercept of g (x):</u>
Hello :
y= <span>x² - 4x + 1
calculate : x
y = (x²-4x+4)-4+1
y+3 = (x-2)²
x exist : if y+3 </span><span>≥ 0
y </span><span>≥ -3
the range is : </span><span>{y: y ≥ -3}</span>
Answer:
<h2><em><u>x</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>3</u></em><em><u> </u></em><em><u> </u></em><em><u>&</u></em><em><u> </u></em><em><u>y</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>5</u></em></h2>
Step-by-step explanation:
<h3>
<em><u>Given</u></em><em><u>, </u></em></h3>
(x+1, 10) = (4, 2y)
<u>First</u><u> </u><u>x</u><u> </u><u>coordinate</u><u>, </u>
x + 1 = 4
=> x = 4 - 1
=> <em>x = 3 (Ans) (i)</em>
<u>Second</u><u> </u><u>y</u><u> </u><u>coordinate</u><u>, </u>
10 = 2y

=> <em>y</em><em> </em><em>=</em><em> </em><em>5</em><em> </em><em>(</em><em>Ans</em><em>)</em><em> </em><em>(</em><em>ii</em><em>)</em>
Answer:
A): Right triangle (Right angle)
B): Scalene triangle (No equal angles or side lengths)