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mrs_skeptik [129]
3 years ago
5

How do i solve and graph y=x^2+5x+6

Mathematics
2 answers:
erastovalidia [21]3 years ago
8 0
Slope = 4
y-intercept = 6
hope this helps :)
Rasek [7]3 years ago
8 0

y=x^2+5x+6

To graph this equation we find x intercepts and vertex

To find x intercept we replace y with 0

0=x^2+5x+6

Factor the right hand side

0 = (x+3)(x+2)

x+3 =0  and x+2 =0

x=-3  and x=-3

So x intercept are (-3,0) and (-2,0)

Now we find vertex, vertex formula is x = \frac{-b}{2a}

y=x^2+5x+6 , a= 1 and b = 5

so x= \frac{-5}{2(1)}= -2.5

Now plug in -2.5 in y=x^2+5x+6

y=(-2.5)^2+5(-2.5)+6= -0.25

So vertex is (-2.5, -0.25)

The value of a=1 that is positive , so parabola opens upwards.

The graph is attached below.


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Split up the 16-gon into 16 congruent isosceles triangles. Cut each of these isosceles triangles in half to get a right triangle.

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Recall that the exterior angles of any convex polygon sum to 360º in measure. For a regular polygon, these angles are all congruent. There are 16 of them in this case, so they each have measure (360/16)º = 22.5º.

Interior angles are supplementary to exterior angles, which means each interior angle of the 16-gon has measure (180 - 22.5)º = 157.5º.

When we split up the 16-gon into isosceles triangles, the "base angles" are equal in measure to half the measure of the interior angles, since each hypotenuse bisects the interior angle. So each base angle has measure 78.75º.

In each right triangle, we then have base <em>b</em> and height <em>h</em> such that

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32(1/2 <em>b h</em>) = 1800 sin(157.5º) ≈ 688.8 sq. ft.

4 0
3 years ago
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4 0
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