The standard form of a quadratic equation is
,
where
,
, and
are coefficients. You want to get the given equation into this form. You can accomplish this by putting all the non-zero values on the left side on the equation.
In this case, the given equation is

Since
is on the right side of the equation, we subtract that from both sides. The resulting equation is

Looking at the standard form equation
, we can see that

Slope formula is the change in y over the change in x
Change in y: -1
Change in x: +1
-1/1 = -1
Slope: -1
Hope it helped :)
Please give brainliest
We have that
f(x) = –4x²<span> + 24x + 13
</span>
we know that
The vertex form for a parabola that opens up or down is:
f(x) = a(x - h)^2 + k
in the given equation, <span>a=-4</span><span>, therefore we add zero to the original equation in the form of </span><span>4h</span>²<span>−4h</span>²
f(x) = –4x² + 24x + 4h²−4h² +13
<span>Factor 4 out of the first 3 terms and group them
</span>f(x) = –4*(x² -6x +h²) +4h² +13
<span>We can find the value of h by setting the middle term equal to -2hx
</span>−2hx=−6x
<span>h=3</span><span> and </span><span>4h</span>²<span>=<span>36
</span></span>f(x) = –4*(x² -6x +9) +36 +13
we know that the term (x² -6x +9) is equals to------> (x-3)²
so
f(x) = –4*(x-3)² +49
the answer isf(x) = –4*(x-3)² +49
Answer:
<h2>BR ≈ 49.0</h2>
Step-by-step explanation:
Use cosine:

We have


Substitute:

<em>cross multiply</em>
<em>divide both sides by 8,572</em>

