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3 years ago

Lines that are perpendicular have slopes that are

Mathematics

2 answers:

Rus_ich [418]3 years ago

6 0

Answer:

negative reciprocals of each other

Pachacha [2.7K]3 years ago

5 0

Answer:

Negative reciprocals of each other

Step-by-step explanation:

Multiplying slopes of perpendicular lines give -1.

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The product of 5 and 2 less than triple a number equals the product of 7 and 8 more than twice the number. What is the number?

Oksi-84 [34.3K]

Answer:Hi,

Let the number be x

Twice the number is 2x

Five less than twice the number is 2x-5, which is given as 9

Therefore, 2x-5 = 9

or, 2x = 9+5

or, 2x = 14

or x=7

Thus the number is 7.

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Step-by-step explanation:

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2 years ago

Let f(x)= 100 / −10+ e^ −0.1x . What is f(−6) ?

bija089 [108]

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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2 years ago