Answer:
y - 3= 2(x - 0)
Step-by-step explanation:
hello :
note 1 :
the point-slope formula is :
y - y_1 = m(x - x_1) the point is A(x_1 , y_1 ) , m : the slope
note 2 :
the slope is : m = (y_2 - y_1)/(x_2 -x_1) when given two points :
A(x_1 , y_1 ) and B(x_2 , y_2 )
in this exercice : x_1 =0 y_1 =3 x_2 =1 y_2 =1
calculate now m = (1 - 3)/(1 -0) =-2
an equation in point-slope form is : y - y_1 = m(x - x_1)
y - 3= 2(x - 0)
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:
the difference between bobby and the pool deck is 35 feet
Step-by-step explanation:
Answer:
The coefficients are: 2, 12, 4.
Step-by-step explanation:
