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2 years ago

Graph the equation. y=2x^2-8x+3y=2x 2 −8x+3

Mathematics

1 answer:

Gwar [14]2 years ago

8 0

9514 1404 393

Answer:

see attached

Step-by-step explanation:

The equation can be rewritten to vertex form, so you can tell the vertex is at (2, -5). The leading coefficient of 2 means the points will be twice as far apart vertically than they would be if the leading coefficient were 1. A couple of points are shown in the attached.

y = 2(x^2 -4x) +3

y = 2(x^2 -4x +4) +3 -8 . . . . . . complete the square

y = 2(x -2)^2 -5 . . . . . . . . . . . . finish putting in vertex form

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2 years ago

A cone with a diameter of 12 inches has a volume of 640.88 cubic inches. find the height of the cone

BlackZzzverrR [31]

Answer:

The height of the cone is $17\ in$

Step-by-step explanation:

we know that

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2 years ago

The only solution to |r+3|=1 is -2? true or false

ikadub [295]

True! The absolute Value is just the value of the digit. -2+3=-1. The absolute value of -1 is 1. There is no other combination of numbers that would lead to this answer.

7 0

2 years ago

Read 2 more answers

If A+B+C=<img src="https://tex.z-dn.net/?f=%5Cpi" id="TexFormula1" title="\pi" alt="\pi" align="absmiddle" class="latex-formula"

seraphim [82]

Answer:

$a + b + c = \pi \\ = > c= \pi - a - b \\ < = > \tan(c) = \tan(\pi - a - b) = -\tan(a + b)$

Step-by-step explanation:

we have:

$\tan(a) + \tan(b) + \tan(c) \\ = \tan(a) + \tan(b) - \tan(a + b) \\ = \tan( a) + \tan(b) - \frac{ \tan(a) + \tan(b) }{1 - \tan(a) \tan(b) } \\ = \frac{ ( \tan(a) + \tan(b) ) \tan(a) \tan(b) }{ \tan(a) \tan(b) - 1 } (1)$

we also have:

$\tan(a) \tan(b) \tan(c) \\ = - \tan(a) \tan(b) \tan(a + b) \\ = \frac{ -(\tan( a ) + \tan(b) ) \tan(a) \tan(b) }{1 - \tan(a) \tan(b) } \\ = \frac{( \tan(a) + \tan(b)) \tan(a) \tan(b) }{ \tan(a) \tan(b) - 1 } (2)$

from (1)(2) => proven

5 0

2 years ago