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kompoz [17]
3 years ago
8

Inequalities -60>9x+3=

Mathematics
1 answer:
laiz [17]3 years ago
3 0

Answer:

  x < -7

Step-by-step explanation:

Subtract 3 from both sides of the inequality:

  -63 > 9x

Divide both sides by 9:

  -7 > x . . . . . . the solution

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Answer:

409 is what I got.

Step-by-step explanation:

361 cm, as the square's area

and 48 as the area for the triangle.

Are you sure those are the answer choices because I'm getting 409.

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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.

So 7\le k; in set notation,

\{k\mid 7\le k

4 0
3 years ago
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4 0
2 years ago
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Harman [31]

Answer:

113.1 cubic inches

Step-by-step explanation:

Plug in the numbers into the formula and solve.

3 0
3 years ago
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