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3 years ago

How do you write a an equation to represent a real world situation

1 answer:

8 0

Well, there's many equations that represent real world situations. These equations we use a lot in engineering. For example, something fundamental is that we can calculate the velocity of something by knowing it's acceleration by taking the integral of the acceleration.

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Is FGH ~ JKL? If so, identify the similarity postulate or theorem that applies.

Leokris [45]

Yes, for triangles to similar two angles have to be the same, in this case, they both have 55 and 30 degrees), this makes the third angle the same. Triangles angles add up to 180 degrees and if you subtract 30 and 55 from 180..
180-30=150-55=95
95+30+55=180

8 1

3 years ago

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Use the equation and type the ordered-pairs. y = log 3 x {(1/3, a0), (1, a1), (3, a2), (9, a3), (27, a4), (81, a5)

vagabundo [1.1K]

Answer:

Considering the given equation $y = log_{3}x\\$

And the ordered pairs in the format $(x, y)$

I don't know if it is log of base 3 or 10, but I will assume it is 3.

For $(\frac{1}{3}, a_{0} )$

$x=\frac{1}{3}$

$y=a_{0}$

$y = log_{3}x\\y = log_{3}(\frac{1}{3} )\\y=-\log _3\left(3\right)\\y=-1$

So the ordered pair will be $(\frac{1}{3}, -1 )$

For $(1, a_{1} )$

$x=1$

$y=a_{1}$

$y = log_{3}x\\y = log_{3}1\\y = log_{3}(1)\\Note: \log _a(1)=0\\y = 0$

So the ordered pair will be $(1, 0 )$

For $(3, a_{2} )$

$x=3$

$y=a_{2}$

$y = log_{3}x\\y = log_{3}3\\y = 1$

So the ordered pair will be $(3, 1 )$

For $(9, a_{3} )$

$x=9$

$y=a_{3}$

$y = log_{3}x\\y = log_{3}9\\y=2\log _3\left(3\right)\\y=2$

So the ordered pair will be $(9, 2 )$

For $(27, a_{4} )$

$x=27$

$y=a_{4}$

$y = log_{3}x\\y = log_{3}27\\y=3\log _3\left(3\right)\\y=3$

So the ordered pair will be $(27, 3 )$

For $(81, a_{5} )$

$x=81$

$y=a_{5}$

$y = log_{3}x\\y = log_{3}81\\y=4\log _3\left(3\right)\\y=4$

So the ordered pair will be $(81, 4 )$

4 0

3 years ago

Four students are competing in a spelling bee. The top three students will receive a medal. How many different ways can they fin

Gre4nikov [31]

Answer:

<em>How many different ways can the letters of the word MATH be rearranged to form a four- ... 4 · 3 · 2 · 1 = 24 ways to spell a code worth with the letters MATH. ... example, coming in first means that you get the gold medal instead of the ... A group of four students is to be chosen from a 35-member class to represent the class.</em>

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Find a measure of the ark

lakkis [162]

Just add that’s by 6 then times it by 5 the add 3 to it

8 0

2 years ago

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Write an equation of the line in slope-intercept form that passes through (-3,5) and is perpendicular to y = -3x- 1

inna [77]

9514 1404 393

Answer:

y = 1/3x +6

Step-by-step explanation:

The slope of the given line is the coefficient of x, -3. The slope of the perpendicular line will be the opposite reciprocal of that:

-1/(-3) = 1/3

The point-slope equation is then ...

y -k = m(x -h) . . . . . for line of slope m through point (h, k)

Here, we have m = 1/3, (h, k) = (-3, 5), so the point-slope equation is ...

y -5 = 1/3(x +3)

y = 1/3x + 1 + 5 . . . . eliminate parentheses, add 5

y = 1/3x +6 . . . . slope-intercept equation of the line

6 0

3 years ago