Rewriting the equation of the given line in slope-intercept form,
The slope of the given line is thus 8/7, and since parallel lines have the same slope, the slope of the line we want to find is also 8/7.
Substituting into point-slope form,
Lets solve it
first multiply each term by x :-
x^2 - 7 = 6x
x^2 - 6x - 7 = 0
(x - 7)(x + 1) = 0
x = 7 and x = -1
We have that
[Volume of the pencil]=[Volume of <span>cylinder]+[volume of cone]
</span>[Volume of cylinder]=pi*(0.5²)*15=11.78 cm³
[volume of cone]=pi*(0.5²)*2/3=0.52 cm³
[Volume of the pencil]=[11.78]+[0.52]=12.30 cm³
the answer is 12.30 cm³
The graph is a parabola with roots at (-4.5, 0) and (0.5, 0) and vertex at (-2, -13)
Equation using roots is a(x + 9/2)(x - 1/2) = a(x^2 + 4x - 9/4) = ax^2 + 4ax - 9/4 a . . . . . . . . (1)
Equation using vertex is a(x + 2)^2 - 13 = a(x^2 + 4x + 4) - 13 = ax^2 + 4ax + 4a - 13 . . . . . . . . (2)
From (1) and (2), -9/4 a = 4a - 13
13 = 4a + 9/4 a = 25/4 a
a = (4 x 13)/25 = 2.08 = 2 approx
Therefore required equation is y = 2x^2 + 4(2)x + 4(2) - 13 = 2x^2 + 8x + 8 - 13 = 2x^2 + 8x - 5
Answer:
y= x -1
y= 2x-5
Step-by-step explanation:
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