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Mathematics

2 answers:

Inga [223]2 years ago

6 0

Answer:

cant see from the light retake the photo

Step-by-step explanation:

IRINA_888 [86]2 years ago

4 0

We learnt this way in Turkey.

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2x-3y=32<br> 1/2(2X+3y)=-8

Alex787 [66]

Answer:

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Just ut Equation in Scientific Calculator or Symbolab App or WEb search Equation solver

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2 years ago

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guajiro [1.7K]

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the answer is 12 inches

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2 years ago

Read 2 more answers

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.