Answer:
<h2>w² - 2(w)(1) + 1² = w² - 2w + 1 = (w - 1)²</h2>
Step-by-step explanation:
(a - b)² = a² - 2ab + b²
We have
w² - 2w = w² - 2(w)(1)
We must add 1²
w² - 2(w)(1) + 1² = (w - 1)²
Addition is the property being shown
The vertex is always halfway between the focus and the directrix, and the parabola always curves away from the directrix, so I'll do a quick graph showing the focus, the directrix, and a rough idea of where the parabola.
<span>So the vertex, exactly between the focus and directrix, must be at <span>(h, k) = (1,
–2)</span><span>. The absolute value of </span>p<span> is the distance between the vertex and the focus and the distance between the vertex and the directrix. (The sign on </span>p<span>tells me which way the parabola faces.) Since the focus and directrix are two units apart, then this distance has to be one unit, so </span><span>| p | = 1</span>.<span>Since the focus is to the left of the vertex and directrix, then the parabola faces left (as I'd shown in my picture) and I get a negative value for </span>p<span>: </span><span>p = –1</span><span>. Since this is a "sideway" parabola, then the </span>y<span> part gets squared, rather than the </span>x<span> part. So the conics form of the equation must be:</span>(y<span> – (–2))2 = 4(–1)(x – 1)</span><span>, or </span><span>(y<span> + 2)</span>2<span> = –4(</span>x<span> – 1)</span></span>
<span><span>
</span></span><span><span>Please give me brainiest! I'm striving for the next rank</span></span> </span>
We can form a ratio equation. the ratio would be the amount of original apples to the cost versus the new amount of apples and new cost. we know all amounts except original cost.
pounds/cost = new pounds/new cost
9/x = (3/4)9 / 15
9/x = (27/4) / 15
9/x = 27/60
9/x = 9/20
cross multiply
9x = 180
x = 20
The library would have 90 non-fiction books.