According to property the diagonals are equal in rectangle
6x+19=9x-5
9x-6x=19+5
3x=24
x=24/3
x=8
Step-by-step explanation:
A function f(x) can be scaled by a factor of "a" and translated by (h,k) by the relation:
f(x) -> a f(x-h)+k
substitute f(x) by sqrt(x), then
sqrt(x) -> a*sqrt(x-h) + k
So the given equation is derived from f(x) = sqrt(x), hence a radical function.
(-7,-3) (-1,0) (9,5) and (13,7)
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:
9sqrt2.
Step-by-step explanation:
sqrt8 + 3sqrt2 + sqrt32
= sqrt4 * sqrt2 + 3 sqrt2 + sqrt16 * sqrt2
= 2sqrt2 + 3sqrt2 + 4 sqrt2
= 9 sqrt2.
