50 points

Mathematics

2 answers:

JulsSmile [24]3 years ago

7 0

Answer:

b. w= 8x^2-2y / y

Step-by-step explanation:

Given:

(2*x^2)/y = (w+2)/4

Isolating w, we get:

w = (8*x^2)/y - 2

Multiplying and dividing the second term in the right-side of the equality by y, we get:

w = (8*x^2)/y - 2*y/y

Subtracting the fractions:

w = (8*x^2 - 2y)/y

Sergeeva-Olga [200]3 years ago

5 0

Answer:

Step-by-step explanation:

got it on edge

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emmainna [20.7K]

Answer:

Step-by-step explanation:

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8 0

2 years ago

Read 2 more answers

Greatest to least 1.202, 1.29, 1.02

Lady bird [3.3K]

If you were to list these numbers in order from greatest to least, it would be 1.29, 1.202, 1.02.
Hope this helps!!

7 0

2 years ago

Please help! A-level maths.

astra-53 [7]

$x+y=k\implies y=k-x$

Substitute this into the parabolic equation,

$k-x=6-(x-3)^2\implies x^2-7x+(k+3)=0$

We're told the line $x+y=k$ intersects $C$ twice, which means the quadratic above has two distinct real solutions. Its discriminant must then be positive, so we know

$(-7)^2-4(k+3)=49-4(k+3)>0\implies k$

We can tell from the quadratic equation that $C$ has its vertex at the point (3, 6). Also, note that

$-1\le\sin t\le1\implies3\le3+2\sin t\le5\implies3\le x\le5$

and

$-1\le\cos2t\le1\implies2\le4+2\cos2t\le6\implies2\le y\le6$

so the furthest to the right that $C$ extends is the point (5, 2). The line $x+y=k$ passes through this point for $2+5=k\implies k=7$ . For any value of $k$ , the line $x+y=k$ passes through $C$ either only once, or not at all.