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Klio2033 [76]
3 years ago
8

What is the slope of a line that is perpendicular to the line y = 8x + 5?

Mathematics
2 answers:
sergey [27]3 years ago
8 0
<span>perpendicular lines, slope is opposite and reciprocal
</span><span>y = 8x + 5 has slope = 8
so </span><span>perpendicular line slope = -1/8

answer
-1/8</span>
valentina_108 [34]3 years ago
5 0

Answer: \dfrac{1}{8}

Step-by-step explanation:

The given equation of a line : y = 8x + 5

We know that general Slope-intercept form of equation is given by :-

y=mx+c, where m is the slope of the line.

When we compare the given equation the general slope intercept form of equation , we get

Slope of line = 8

We know that the product of slopes of two perpendicular line is -1.

Let m be the slope of  line that is perpendicular to the line y = 8x + 5, then we have

-8\times m=-1\\\\\Rightarrow\ m=\dfrac{1}{8}

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NNADVOKAT [17]
A percent is a number out of 100, so you'd want to multiply the denominator to get 100. In this case, 25 would have to be multiplied by 4 to get 100. To keep the fractions equal to each other, you have to multiply the numerator by the same thing. 2*4=8. Therefore, your fraction would be 8/100 or 8%
7 0
3 years ago
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Samantha works at a bakery. The function f(x) = 3x2 − 5 represents the amount of money Samantha earns per cookie, where x is the
vfiekz [6]

Answer:

f(g(x)) = 15x³ - 5

Step-by-step explanation:

how confusingly described.

let me try and summarize what I understood :

f(x) = 3x² - 5

money earned when baking x cookies.

g(x) = sqrt(5x³)

the amount of cookies baked in x hours.

f(g(x)) now calculates how much money she earns when baking for x hours.

it is basically very simple : instead of f(x) we have f(g(x)), so g(x) is used as argument/variable in f instead of just plain x.

therefore,

f(g(x)) = 3×(sqrt(5x³))² - 5

with x now representing the baking hours, but f(...) calculating the overall money earned, by implicitly (!) calculating the amount of cookies baked in that time and taking that result automatically to calculate the earned money.

let's simplify this a little bit more.

f(g(x)) = 3×(sqrt(5x³))² - 5 = 3×(5x³) - 5 = 15x³ - 5

3 0
2 years ago
( 3 x 2 ) ^ 4 x 3 ^ -3 / 2 ^ 3 x 3 =<br><br> Simplify the exponential expression
Korvikt [17]

Answer:

2

Step-by-step explanation:

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we apply log property . a^m / a^n = a^m-n

Now subtract the exponents

2^(4-3) = 2^1 = 2



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