History, 29.11.2021 23:30 u8p4

How might natural barriers, like mountains or bodies of water, have contributed to the development of different cultures?

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Answer from: Quest

answer

$x = \pm 2\sqrt{2} \: \: or \: \: x = \pm 1$

explanation

the given equation is

${x}^{4} - 9 {x}^{2} + 8 = 0$

we can rewrite this as:

$({x}^{2})^{2} - 9 {x}^{2} + 8 = 0$

let

$u = {x}^{2}$

then the equation becomes:

${u}^{2} - 9 {u}^{2} + 8 = 0$

the factors of 8 that sum up to -9 are {-1,-8}

we split the middle term with these factors to obtain,

${u}^{2} - u - 8u+ 8 = 0$

we factor by grouping to obtain:

$u(u - 1) - 8(u - 1) = 0$

$(u - 8)(u - 1) = 0$

apply the zero product property to get:

$u - 8 = 0 \: \: or \: \: u - 1 = 0$

$u = 8 \: or \: u = 1$

but

$u = {x}^{2}$

${x}^{2} = 8 \: or \: {x}^{2} = 1$

$x = \pm \sqrt{8} \: \: or \: \: x = \pm \: \sqrt{ 1}$

$x = \pm 2\sqrt{2} \: \: or \: \: x = \pm 1$

Answer from: Quest

the united states presidential election of 1912 was the 32nd quadrennial presidential election, held on tuesday, november 5, 1912. the election was a rare four-way contest.

incumbent president william howard taft was renominated by the republican party with the support of its conservative wing. after former president theodore roosevelt failed to receive the republican nomination, he called his own convention and created the progressive party (nicknamed the "bull moose party"). it nominated roosevelt and ran candidates for other offices in major states. democrat woodrow wilson was finally nominated on the 46th ballot of a contentious convention, to the support of william jennings bryan, the three-time democratic presidential candidate who still had a large and loyal following in 1912. eugene v. debs, running for a fourth time, was the nominee of the socialist party of america.

wilson won the election, gaining a large majority in the electoral college and winning 42% of the popular vote, while roosevelt won 27%, taft 23% and debs 6%. wilson became the only elected president from the democratic party between 1892 and 1932, and the second of only two democrats to be elected president between 1860 and 1932. this was the last election in which a candidate who was not a republican or democrat came second in either the popular vote or the electoral college, and the first election in which all 48 states of the contiguous united states participated.

hope this !

-austint1414

Answer from: Quest

map scale refers to the relationship (or ratio) between distance on a map and the corresponding distance on the ground. for example, on a 1: 100000 scale map, 1cm on the map equals 1km on the ground.

Answer from: Quest

8 - (2a + 7) = a + 40 distribute/multiply - into (2a + 7)

8 - 2a - 7 = a + 40

1 - 2a = a + 40 add 2a on both sides

1 = 3a + 40 subtract 40 on both sides

-39 = 3a divide 3 on both sides

-13 = a

[proof]

8 - (2a + 7) = a + 40

8 - (2(-13) + 7) = -13 + 40

8 - (-26 + 7) = 27

8 - (-19) = 27