How do i solve and graph y=x^2+5x+6
2 answers:
To graph this equation we find x intercepts and vertex
To find x intercept we replace y with 0
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 =
, a= 1 and b = 5
so x= = -2.5
Now plug in -2.5 in
= -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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ANSWER
The smaller angle is
.EXPLANATION
Let the angles be
where y is the smaller angle.
Since they are supplementary, they will add up to 180°.
This implies that,
If one angle is 4 times the other, we can then write the following equation,
We put equation (2) into equation (1) to get,
We divide through by 5 to obtain,
This implies that,
The smaller angle is
.EXPLANATION
Let the angles be
where y is the smaller angle.
Since they are supplementary, they will add up to 180°.
This implies that,
If one angle is 4 times the other, we can then write the following equation,
We put equation (2) into equation (1) to get,
We divide through by 5 to obtain,
This implies that,
Remember that the area of a rectangle is length times width; since we don't know the width, we'll use the Pythagorean theorem to find it first:
Where l is the leg, and h the hypotenuse. We know that one of the legs, the base has a measures 34.3 inches and the hypotenuse a measures 42.1 inches.
Replace the values to get:
Now that we know the width (w), we just net to multiply it by the length to get our area:
We can conclude that the correct answer is <span>B) 836.9 in.</span>
Where l is the leg, and h the hypotenuse. We know that one of the legs, the base has a measures 34.3 inches and the hypotenuse a measures 42.1 inches.
Replace the values to get:
Now that we know the width (w), we just net to multiply it by the length to get our area:
We can conclude that the correct answer is <span>B) 836.9 in.</span>