(-1,1)(1,4)
slope = (4 - 1) / (1 - (-1) = 3/(1 + 1) = 3/2
y = mx + b
slope(m) = 3/2
use either of ur points....(1,4)...x = 1 and y = 4
now sub and find b, the y int
4 = 3/2(1) + b
4 = 3/2 + b
4 - 3/2 = b
8/2 - 3/2 = b
5/2 = b
equation is y = 3/2x + 5/2...but we need it in standard form
y = 3/2x + 5/2
-3/2x + y = 5/2.....multiply both sides by -2
3x - 2y = -5 <==== ur standard form equation
The next three numbers in the pattern would be 768, -3072, 12,288.
<h3>What are the next three numbers?</h3>
Looking at the given sequence, it can be seen that the numbers increase by a multiple of 4.
-12 /3 = 4
48 / 12 = 4
192 / 48 = 4
The next three numbers would be:
192 x 4 = 768
768 x 4 = 3072
3072 x 4 = 12,288.
Examining the numbers, it can be seen that the positive and negative signs alternate. Thus, the numbers would be : 768, -3072, 12,288.
To learn more about mathematical sequence, please check: brainly.com/question/26578277
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Answer:
The remaining liquid has a volume of 345.4 cm³.
Step-by-step explanation:
To solve this question we first need to calculate the volume of each container.
Cylindrical:
Volume = h*pi*r² = 14*3.14*(5)² = 1099 cm³
Cone:
Volume = (1/3)*h*pi*r² = (1/3)*20*3.14*(6)² = 753.6 cm³
Since the liquid from the cylinder was transfered to the cone until the latter was full, then what remains in the cylinder is it's original volume minus the cone volume. So we have:
remaining liquid = 1099 - 753.6 = 345.4 cm³
Jackson achieved national distinction for his performance in the War of 1812. In the Battle of Horseshoe Bend, he oversaw the destruction of 15 percent of the Creek population; the treaty that ended hostilities forced the Creek to cede over 20 million acres of their ancestral lands. Jackson is most remembered for his performance in the Battle of New Orleans, during which he led his troops to a decisive victory over the British after the Treaty of Ghent had been signed and hostilities had officially ended.
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In December 1817, President James Monroe authorized Jackson to lead an offensive against the Seminole and Creek Indians in Georgia and Florida, sparking the First Seminole War. Jackson ordered his troops to destroy Seminole settlements, capture a Spanish fort, and execute two British citizens whom Jackson blamed for supporting the Seminoles against white people. In 1819, the Spanish ceded all of Florida to the United States in the Adams-Onís—or Transcontinental—Treaty.
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The election of 1828 and the Bank War
The presidential election of 1828 pitted incumbent John Quincy Adams against Andrew Jackson. Adams was the candidate of the National Republicans, while the party that arose around Jackson became known as the Jacksonian Democrats, or simply, the Democrats.
The focus is (0,1) and the directix is y=-1
