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:
<h3>87 feet</h3><h3>1. You can find the value of the vertex of the parabola as following:
</h3><h3 /><h3 /><h3 /><h3>2. Substitute values:
</h3><h3 /><h3>a=-16
</h3><h3 /><h3>b=70
</h3><h3 /><h3>Then:
</h3><h3 /><h3> </h3><h3 /><h3 /><h3 /><h3>3. Substitute the value obtained into the equation given in the problem. Therefore, you obtain the following result:
</h3><h3 /><h3 /><h3 /><h3>4. To the nearest foot:
</h3><h3 /><h3>h=87 feet</h3>
Step-by-step explanation:
<h3>#hopeithelps</h3><h3>stay safe and keep well</h3><h3 /><h3>mark me as brain liest pls</h3>
Answer:
Step-by-step explanation:
It’s a cube with edge length of 12 cm.
The cube has six faces, and the are ma if each face is 144 cm²
Total surface area = 6×144 = 864 cm²
Answer: Burj Khalifa - 828 m ( 2,717 ft)
