Answer:
73
Step-by-step explanation:
i got it right on edg
Answer:
The vertex of the parabola is;
([-1], [3])
Step-by-step explanation:
The given quadratic equation is presented as follows;
x² + 8·y + 2·x - 23 = 0
The equation of the parabola in vertex form is presented as follows;
y = a·(x - h)² + k
Where;
(h, k) = The vertex of the parabola
Therefore, we have;
x² + 8·y + 2·x - 23 = 0
8·y = -x² - 2·x + 23
y = 1/8·(-x² - 2·x + 23)
y = -1/8·(x² + 2·x - 23)
y = -1/8·(x² + 2·x + 1 - 23 - 1) = -1/8·(x² + 2·x + 1 - 24)
y = -1/8·((x + 1)² - 24) = -1/8·(x + 1)² + 3
Therefore, the equation of the parabola in vertex form is y = -1/8·(x + 1)² + 3
Comparing with y = a·(x - h)² + k, we have;
a = -1/8, h = -1, and k = 3
Therefore, the vertex of the parabola, (h, k) = (-1, 3).
Answer:
by using the identity a square - b square = (a+b)*(a-b)
a = x+y
b=4-x
= (x+y + 4-x)(x+y - 4-x)
y+4 * x+y -4+x
y+4*2x+y-4
2xy+y square -4y + yx + 4x + 4y - 16 +4x
3xy +y square + 8x -16
Step-by-step explanation:
9514 1404 393
Answer:
y = 8
Step-by-step explanation:
You will get the same value for y whether you approach the problem by making corresponding angles equal, or by making corresponding sides equal. The equation for the sides takes less work to solve.
2y -3 = y +5
y = 8 . . . . . . . . add 3-y to both sides
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<em>Check</em>
This value of y makes the angles ...
(6y -5)° = (6·8 -5)° = 43°
(4y +11)° = (4·8 +11)° = 43°
Corresponding angles and the side between them have the same measures, so the triangles are congruent by ASA.
Answer: C
Step-by-step explanation:
Given 2 similar solids whose
ratio of sides = a : b, then
ratio of areas = a^2 : b^2 and
ratio of volumes = a^3 : b^3
Here the area ratio = 169 : 81, thus
side ratio = sqrt{169} : sqrt{81} = 13 : 9
Hence the volume ratio = 13^3 : 9^3
Using proportion then
frac{13^3}{9^3} = frac{124.92}{x} → C
