Answer:
The Pythagorean theorem states that a2 + b2 = c2 in a right triangle where c is the longest side. You can use this equation to figure out the length of one side if you have the lengths of the other two. The figure shows two right triangles that are each missing one side's measure.
Step-by-step explanation:
<h3><em>#</em><em>H</em><em>O</em><em>P</em><em>E</em><em> </em><em>IT</em><em> </em><em>HELPS</em></h3><h3><em>#</em><em>C</em><em>A</em><em>R</em><em>R</em><em>Y</em><em> </em><em>ON</em><em> </em><em>LEARNING</em></h3><h3><em>#</em><em>C</em><em>A</em><em>N</em><em> </em><em>I</em><em> </em><em>GET</em><em> </em><em>BRAINLIESTS</em><em> </em><em>ANSWER</em><em>?</em><em /></h3>
An equation for the parabola would be y²=-19x.
Since we have x=4.75 for the directrix, this tells us that the parabola's axis of symmetry runs parallel to the x-axis. This means we will use the standard form
(y-k)²=4p(x-h), where (h, k) is the vertex, (h+p, k) is the focus and x=h-p is the directrix.
Beginning with the directrix:
x=h-p=4.75
h-p=4.75
Since the vertex is at (0, 0), this means h=0 and k=0:
0-p=4.75
-p=4.75
p=-4.75
Substituting this into the standard form as well as our values for h and k we have:
(y-0)²=4(-4.75)(x-0)
y²=-19x
<span>–12 – 3 + 9
(-12 - 3) + 9
-15 + 9
-6</span>
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