4 sailboats to 12 motorboats

Mathematics

1 answer:

lukranit [14]2 years ago

8 0

Answer:

4:12

Step-by-step explanation:

I think you asked for a ratio?

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What is the zero in the quadratic function f(x)= 9x^2-54x-19?

Alex17521 [72]

Answer:

6.33... and 0.333...

Step-by-step explanation:

The quadratic formula is

$x=\frac{-b+\sqrt{b^2-4ac} }{2a}$ .

It is important because while some quadratics are factorable and can be solved not all are. The formula will solve all quadratic equations and can also give both real and imaginary solutions. Using the formula will require less work than finding the factors if factorable. We will substitute a=9, b=-54 and c=-19.

$x=\frac{-b+/-\sqrt{b^2-4ac} }{2a}\\x=\frac{-(-54)+/-\sqrt{(-54)^2-4(9)(-19)} }{2(9)}\\x=\frac{54+/-\sqrt{2916+684} }{18}$

We will now solve for the plus and the minus.

The plus,,,

$x=\frac{54+\sqrt{3600}}{18}\\x=\frac{54+60}{18}\\x=\frac{114}{18}\\x=6.3$

and the minus...

$x=\frac{54-\sqrt{3600}}{18}\\x=\frac{54-60}{18}\\x=\frac{-6}{18}\\x=-0.333...$

8 0

3 years ago

Let c be parametrized by x = et sin (10t) and y = et cos (10t) for 0 ≤ t ≤ 2. find the length l of

marysya [2.9K]

$C:x(t)=e^t\sin10t;\,y(t)=e^t\cos10t;\,0\le t\le2$

$\displaystyle\int_0^2\sqrt{x'(t)^2+y'(t)^2}\,\mathrm dt$
$\displaystyle=\int_0^2\sqrt{(e^t\sin10t+10e^t\cos10t)^2+(e^t\cos10t-10e^t\sin10t)^2}\,\mathrm dt$
$\displaystyle=\int_0^2e^t\sqrt{\sin^210t+20\sin10t\cos10t+100\cos^210t+\cos^210t-20\sin10t\cos10t+100\sin^210t}\,\mathrm dt$
$=\displaystyle\int_0^2e^t\sqrt{1+100}\,\mathrm dt$
$=\displaystyle\sqrt{101}(e^2-1)$

7 0

3 years ago

I need help on this question

Setler79 [48]

N, O, S, and Z all have rotational symmetry

3 0

3 years ago

Read 2 more answers

Which is a correct first step in solving 5 - 2x < 8x - 3?

Natasha2012 [34]

Answer:

5< 10x -3