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2 years ago

Which of the following would best be solved using completing the square?

Mathematics

1 answer:

Andrews [41]2 years ago

7 0

Answer:

2x^2 +15x = 6

Step-by-step explanation:

the form of this equation makes it easier to use the completing the square method

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tester [92]

Answer:

Step-by-step explanation:

6 0

3 years ago

There are three shelves.each shelf has 28 books.there is also a stack of some more books.there are a total of 85 books.which equ

Charra [1.4K]

3s+28=85, take away 28 from both sides of the equals to give you 3s=57, divide by 3 on both side to give you s=19.

8 0

3 years ago

2. Divide 8x - 4x +1 by x+6

Anvisha [2.4K]

Answer:

$\Large{\bold{\frac{4x\:+\:1}{x\:+\:6}}}$

Step-by-step explanation:

$(8x\:-\:4x\:+\:1) ÷ (x\:+\:6)$
$\frac{8x\:-\:4x\:+\:1}{x\:+\:6}$
$\frac{4x\:+\:1}{x\:+\:6}$

3 0

3 years ago

Show tan(???? − ????) = tan(????)−tan(????) / 1+tan(????) tan(????)<br> .

anyanavicka [17]

Answer:

See the proof below

Step-by-step explanation:

For this case we need to proof the following identity:

$tan(x-y) = \frac{tan(x) -tan(y)}{1+ tan(x) tan(y)}$

We need to begin with the definition of tangent:

$tan (x) =\frac{sin(x)}{cos(x)}$

So we can replace into our formula and we got:

$tan(x-y) = \frac{sin(x-y)}{cos(x-y)}$ (1)

We have the following identities useful for this case:

$sin(a-b) = sin(a) cos(b) - sin(b) cos(a)$

$cos(a-b) = cos(a) cos(b) + sin (a) sin(b)$

If we apply the identities into our equation (1) we got:

$tan(x-y) = \frac{sin(x) cos(y) - sin(y) cos(x)}{sin(x) sin(y) + cos(x) cos(y)}$ (2)

Now we can divide the numerator and denominato from expression (2) by $\frac{1}{cos(x) cos(y)}$ and we got this:

$tan(x-y) = \frac{\frac{sin(x) cos(y)}{cos(x) cos(y)} - \frac{sin(y) cos(x)}{cos(x) cos(y)}}{\frac{sin(x) sin(y)}{cos(x) cos(y)} +\frac{cos(x) cos(y)}{cos(x) cos(y)}}$

And simplifying we got:

$tan(x-y) = \frac{tan(x) -tan(y)}{1+ tan(x) tan(y)}$

And this identity is satisfied for all:

$(x-y) \neq \frac{\pi}{2} +n\pi$

8 0

3 years ago

Write an equation that shows the relationship 64% of why is 40

DerKrebs [107]

Answer:

I am not share what the question is, can you please rephrase the question.

Step-by-step explanation:

3 0

4 years ago