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2 years ago

What are the zeros of the quadratic function represented by this graph?

Mathematics

1 answer:

mario62 [17]2 years ago

6 0

Answer:

Step-by-step explanation:

answer : C when this graph passes trough x-axis

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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

2 years ago

Im so bad at math. Help please!

Ulleksa [173]

Answer is C. Granted gas prices are fixed. if you buy 1 gallon.. price is x. if you buy 2 gallons, price is 2x. and so on. constant rate of change.

6 0

2 years ago

There is a bag containing 26 tiles,each marked with a diffrent letter. what us the ratio of vowel tiles to consonant tiles?

strojnjashka [21]

Answer:

B. 5 : 21

Step-by-step explanation:

Vowels: a, e, i, o, u= 5 vowels

Constants: b, c, d, f, g, h, j, k, l, m, n, p, q, r, s, t, v, w, x, y, z: 21 constants

v : c

5 : 21

6 0

2 years ago

Read 2 more answers

Find the product of 4h(6ah)<br><br> please tell the correct answer:

svlad2 [7]

Answer:

24a $h^{2}$

Step-by-step explanation:

4 0

2 years ago

rachel is frosting the top of two cakes and wants to know which cake will require more frosting. one cake is round with a diamet

siniylev [52]

Answer:

The square cake is larger by 31 in^2

Step-by-step explanation:

A round cake has a circular area on top.

We need to find the radius

d= 2r

8 = 2r

r=4

The area of the circle is pi r^2

A = 3.14 * 4^2

A = 3.14 *16

= 50.24

The area of the square cake is

A =s^2

A = 9^2

A = 81

The square cake is larger

The difference is Asquare - A round

81 -50.24

30.76

Which is close to 31 in ^2

7 0

2 years ago

What are the zeros of the quadratic function represented by this graph?​

What are the zeros of the quadratic function represented by this graph?