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otez555 [7]
3 years ago
12

What is the slope of the line graphed on the coordinate plane?

Mathematics
2 answers:
lina2011 [118]3 years ago
6 0

Answer:

18*

slope is 18  degrees.



Kruka [31]3 years ago
5 0

For this case we must find the slope of the line plotted on the coordinate plane. We know that by definition, the slope is given by:

m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}}

We must replace two points that the line passes through, then:

(x_ {1}, y_ {1}) = (0,6)\\(x_ {2}, y_ {2}) = (1, -2)

Substituting we have:

m = \frac {-2-6} {1-0}\\m = \frac {-8} {1}\\m = -8

Thus, the slope of the line is m = -8

Answer:

m = -8


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Select the correct answer. which expression is equivalent to the given expression? assume the denominator does not equal zero. a
Alexxandr [17]

If the denominator does not equal 0, the equivalent expression of \frac{14x^4y^6}{7x^8y^2} is \frac{2y^{4}}{x^{4}}\frac{x^{10} y^{14}}{729}

<h3>How to determine the equivalent expression?</h3>

The expression is given as:

\frac{14x^4y^6}{7x^8y^2}

Divide 14 by 7

\frac{14x^4y^6}{7x^8y^2} = \frac{2x^4y^6}{x^8y^2}

Apply the law of indices

\frac{14x^4y^6}{7x^8y^2} = \frac{2y^{6-2}}{x^{8-4}}

Evaluate the differences in the exponents

\frac{14x^4y^6}{7x^8y^2} = \frac{2y^{4}}{x^{4}}

Hence, the equivalent expression of \frac{14x^4y^6}{7x^8y^2} is \frac{2y^{4}}{x^{4}}

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4 0
2 years ago
Let f(x)= 100 / −10+ e^ −0.1x . What is f(−6) ?
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The value of f(-6) is -12.2

Explanation:

Given that the function f(x)=\frac{100}{-10+e^{-0.1\left(x\right)}}

We need to determine the value of f(-6)

The value of f(-6) can be determined by substituting the value for x=-6 in the function and simplify the function.

Hence, let us substitute x=-6 in the function, we get,

f(-6)=\frac{100}{-10+e^{-0.1\left(-6\right)}}

Let us apply the rule -\left(-a\right)=a , we get,

f(-6)=\frac{100}{-10+e^{0.1\left(6\right)}}

Multiplying the numbers, we get,

f(-6)=\frac{100}{-10+e^{0.6}}

The value of e^{0.6}=1.822

Substituting the value of e^{0.6}=1.822 , we get,

f(-6)=\frac{100}{-10+1.822}

Subtracting the denominator, we have,

f(-6)=\frac{100}{-8.178}

Dividing, we have,

f(-6)=-12.228

Rounding off to the nearest tenth, we have,

f(-6)=-12.2

Thus, the value of f(-6) is -12.2

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