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Delvig [45]
3 years ago
5

Solve the equation using square roots. x2 + 10 = 9

Mathematics
1 answer:
Oksana_A [137]3 years ago
5 0
x^2 + 10 = 9

Subtract 10 from both sides.

x^2 = -1

Since the square of a number, x, equals a negative number, -1, the answer cannot be a real number because the square of a real number is always non-negative. Therefore, there is no real number solution to this equation.

Answer: <span>B. no real number solutions</span>
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Expand the following using the Binomial Theorem and Pascal’s triangle. (x + 2)6 (x − 4)4 (2x + 3)5 (2x − 3y)4 In the expansion o
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\bf (2x+3)^5\implies &#10;\begin{array}{llll}&#10;term&coefficient&value\\&#10;-----&-----&-----\\&#10;1&&(2x)^5(+3)^0\\&#10;2&+5&(2x)^4(+3)^1\\&#10;3&+10&(2x)^3(+3)^2\\&#10;4&+10&(2x)^2(+3)^3\\&#10;5&+5&(2x)^1(+3)^4\\&#10;6&+1&(2x)^0(+3)^5&#10;\end{array}

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for the second term, starts at 0, and every element it goes up by 1, till it gets to the highest

now, to get the coefficient, they way I get it, is "the product of the current coefficient and the exponent of the first term, divided by the exponent of the second term plus 1"

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how did we get 10 for the fourth element?  well, 10*2/4


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7 0
3 years ago
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3 years ago
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If angle 1 is 140°, then find the measure of the other angles.
Vlad [161]
<h2><u>Angles</u></h2>

<h3>If angle 1 is 140°, then find the measure of the other angles.</h3>

  • ∠2 = <u>40°</u>
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  • ∠5 = <u>140°</u>
  • ∠6 = <u>40°</u>
  • ∠7 = <u>40°</u>
  • ∠8 = <u>140°</u>

<u>Explanation:</u>

  • The relationship between ∠1 and ∠2 are <u>supplementary angles</u>, so when you <u>add up their measurements, it will become 180°</u>. Simply subtract 180 and 140 to get the measure of ∠2. As well as ∠3, they're <u>linear pairs</u>. And they are also <u>supplementary</u>. To determine the measure of ∠6 and ∠7, notice the <u>relationship</u> between ∠2 and ∠6. As you noticed, it is <u>corresponding angles</u>. So they <u>have the same measurement</u>. If <u>∠2 = 40°</u>, then <u>∠6 = 40°</u>. As well as ∠7, because the relationship between ∠6 and ∠7 are <u>vertical pairs</u>. So the angle measurement of ∠7 is also <u>40°</u>.

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2 years ago
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FrozenT [24]

Answer:

The answer is 8

Step-by-step explanation:

12*10=120 120/15=8

8 0
3 years ago
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