Please help me!I will give you 44 points

Mathematics

1 answer:

fiasKO [112]2 years ago

8 0

Answer:

a) 5/4

b) y = 5/4x + 27

Step-by-step explanation:

To find the gradient of a line, simply change the equation into slope intercept form (y = mx + b), where b is the y-intercept and m is the slope.

4y - 5x = 2

4y = 5x + 2

y = 5/4x + 1/2

m(gradient) = 5/4

For lines to be parallel, simply keep the gradient the same. Any line with a gradient, or slope, of 5/4 will be parallel. As such, simply keep the first two terms identical, and change the y-intercept into any number.

Hope it helps :)

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Solve the equation without the use of a calculator. please Help!!! Thank you!!! 12x^3-30x=5-2x^2

nata0808 [166]

So, since we have a cubic equation with 4 terms, the first thing we should try is factoring by grouping, so:

$12x^3+2x^2-30x+5 =0 \implies \\ 2x^2(6x+1)-5(6x+1)=0 \implies \\ (2x^2-5)(6x+1) = 0$

Now that we've factored our equation, we can use ZPP and break it up:

$2x^2-5 = 0 \implies \\ 2x^2=5 \implies\\ x^2=\frac{5}{2} \implies\\ x=\pm\frac{\sqrt{5}}{\sqrt{2}}=\pm\frac{\sqrt{10}}{2} \\ \\ 6x+1 =0 \implies \\ 6x=-1 \implies\\ x=\frac{-1}{6}$