Answer:
13y= x + 59
Step-by-step explanation:
gradient= y² - y¹ / x²- x¹
=5 - 4 / 6- -7
= 1/ 13
<h3>equation of line:
<u>y=mx+c</u></h3>
x y
point (6,5)
<u>substitute</u>:
5= <u> </u><u>1</u><u> </u> (6) + c
13
c = 5 -<u> </u><u>6</u><u> </u>
13
= <u>5</u><u>9</u>
13
y=mx+c
13y= 1x + 59
Answer:
f=-5/3 or -1.6repeating or -1 2/3
Step-by-step explanation:
Answer:
the required equation is; y = 21 sin(πt/6)
Step-by-step explanation:
Given the data in the question;
Water rises above sea level = 21 ft
Water drops below sea level = 21 ft
so
maximum = 21 ft and also
minimum = 21 ft
Amplitude = ( maximum + minimum ) / 2
Amplitude = ( 21 + 21 ) / 2
Amplitude = ( 21 + 21 ) / 2 = 42/2 = 21 ft
Period = 12 hours
and we know that; period = 2π/b
so
12 = 2π/b
12b = 2π
b = 2π / 12
b = π/6
Standard equation for simple harmonic is; y = asin(bt)
we substitute
y = 21 sin(πt/6)
Hence the required equation is; y = 21 sin(πt/6)
Answer:
9
Step-by-step explanation:
The factors of 18 are : 1, 2, 3, 6, 9, 18
The factors of 27 are : 1, 3, 9, 27
The common factors are : 1, 3, 9
The gcf is 9