Refer to the triangle below. If a = 3 and b = 6
a. Find the exact length of c in un-simplified radical form
b. Find the exact length of c in simplified radical form
c. Find c to the nearest hundredth.
Answers
с = √(3² + 6²)
= √(9 + 36)
= √45 ← un-simplified radical form
= 3√5 ← simplified radical form
≈ 6.71 ← to the nearest hundredth
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Log4(x)+log4(x+15)=2
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1/2 of 8 is 4
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Answer:
multiplicative inverses
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16x=1200
divide both sides by 16
1200/16
so we simplify 1200/16 by factoring out the ones (4/8=1/2 times 4/4 since 4/4=1)
1200=3*2*2*2*2*5*5
16=2*2*2*2*1
so we notice that there are four 2's in both so those are the 'ones' so cross them off and get
3*5*5/1 or 75/1 or 75 hours
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x^2+y^2-18x-2y+82=64
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Center (9 , 1 ) radius = 8
-82 -82
x² + y² - 18x - 2y = -28
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3. Answer: complementary
That's the word for angles which add to ninety degrees.
4. Who's Christy? We missed part of the story here.
If the idea is that Christy noticed that the acute angles in a right triangle are complementary from some examples, that would indeed be an example of inductive reasoning.
as a trinomial in standard form.
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Final answer:
To express (x-1)^2 as a trinomial in standard form, we expand the square using the formula (a-b)^2 = a^2 - 2ab + b^2. Substituting a = x and b = 1, we get x^2 - 2x + 1.
Explanation:
To express the expression (x-1)^2 as a trinomial in standard form, we need to apply the square of a binomial formula, which is (a - b)^2 = a^2 - 2ab + b^2. In this case, a is x, and b is 1. Substituting these values into the formula, we get:
(x - 1)^2 = x^2 - 2(x)(1) + 1^2
Now, simplify each term:
1. x^2 represents the square of the first term, which is x.
2. 2(x)(1) = 2x, representing twice the product of x and 1.
3. 1^2 = 1, which is the square of the second term, 1.
So, when we simplify the expression further, we have:
(x - 1)^2 = x^2 - 2x + 1
This is the trinomial representation of (x-1)^2 in standard form. It consists of three terms: x^2, -2x, and 1, with each term having a specific coefficient.
Learn more about Expanding a square here:
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Answer:
x² - 2x + 1
Step-by-step explanation:
We want to express (x - 1)² as a trinomial. In other words, we want to expand this out.
(x - 1)² = (x - 1)(x - 1)
We use FOIL (First, Outer, Inner, Last). The First terms are x and x. Multiply:
x * x = x²
The outer terms are x and -1. Multiply:
x * (-1) = -x
The inner terms are -1 and x; multiply:
(-1) * x = -x
The last terms are -1 and -1; multiply:
(-1) * (-1) = 1
Add all these together:
x² + (-x) + (-x) + 1 = x² - 2x + 1
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