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Gala2k [10]
3 years ago
11

An angle measures 29° . what is the measure of its complement?

Mathematics
1 answer:
Olenka [21]3 years ago
7 0
Complementary angles add up to 90 so 90-29=the complement, which is 61.
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-512 is the answer because 512 is a negative solution in Integers math
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If f(x)= 3x+1 is reflect across the y-axis; what would the slope & y-intercept be? *
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Answer: f(x) = -3x + 1

So the slope is -3 and the y-intercept is 1

Step-by-step explanation:

This is because it’s across the y-axis so the y-intercept doesn’t change. Because it’s a reflection the slope just becomes the opposite of what it originally was, so in this case it will be -3

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Find the future value of $2000 invested at annual rate of 2.4% compounded quarterly for 8 years. Round your answer to hundredths
MatroZZZ [7]

Answer: $2421.95

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3 years ago
Compare the fractions. 4/7 1/6.<br> a. &gt;<br> b. =<br> c.
BabaBlast [244]
To start with, write both fractions with same denominator, i.e LCM of 6 and 7
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Read 2 more answers
If x^2+1/x^2=3 find the value of x^2/(x^2+1)^2<br> Express answer as a common fraction.<br> Thanks!!
timama [110]

x^2+\dfrac1{x^2}=3\implies x^4+1=3x^2\implies x^4-3x^2+1=0

By the quadratic formula,

x^2=\dfrac{3\pm\sqrt5}2\implies x^2+1=\dfrac{5\pm\sqrt5}2

Then

(x^2+1)^2=\dfrac{25\pm10\sqrt5+5}4=\dfrac{15\pm5\sqrt5}2

\implies\dfrac{x^2}{(x^2+1)^2}=\dfrac{\frac{3\pm\sqrt5}2}{\frac{15\pm5\sqrt5}2}=\dfrac{3\pm\sqrt5}{15\pm5\sqrt5}

Multiply numerator and denominator by the denominator's conjugate:

\dfrac{3\pm\sqrt5}{15\pm5\sqrt5}\cdot\dfrac{15\mp5\sqrt5}{15\mp5\sqrt5}=\dfrac{45\pm15\sqrt5\mp15\sqrt5-25}{15^2-(5\sqrt5)^2}=\dfrac{20}{100}=\dfrac15

3 0
3 years ago
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