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3 years ago

If two lines are perpendicular then their slopes have the product ________

Mathematics

1 answer:

7nadin3 [17]3 years ago

5 0

The product of two perpendicular slopes is always -1

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What is the solution to this system of equations?

antoniya [11.8K]

Answer:

Step-by-step explanation:

Since both equations express y in terms of x we can equate the right sides

3x + 5 = - x + 3 ( add x to both sides )

4x + 5 = 3 ( subtract 5 from both sides )

4x = - 2 ( divide both sides by 4 )

x = - 0.5

substitute x = - 0.5 in either of the 2 equations

using y = - x + 3 then y = 0.5 + 3 = 3.5

solution is (- 0.5, 3.5 ) → c

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Answer:

I believe it is 14.

Step-by-step explanation:

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3 years ago

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John is going on a trip and the country he is traveling to uses the Celsius scale. He is curious about converting Celsius temper

Setler79 [48]

Answer:

$f(x)=\dfrac{9}{5}x+32$ converts Celsius to Fahrenheit.

$g(x)=\dfrac{5(x-32)}{9}$ converts Fahrenheit to Celsius.

Step-by-step explanation:

Write given data in the table

$\begin{array}{cc}x&f(x)\\^{\circ}\text{C}&^{\circ}\text{F}\\20&68\\30&86\end{array}$

Let the expression for the function be

$f(x)=ax+b$

Note, that this equation is linear equation and it is well-known fact that the Celsius to Fahrenheit dependence is linear.

Substitute corresponding values into this expression:

$68=20a+b\\ \\86=30a+b$

Subtract these two equations:

$86-68=30a-20a\\ \\10a=18\\ \\a=\dfrac{9}{5}$

Substitute it into the first equation:

$68=20\cdot \dfrac{9}{5}+b\Rightarrow b=68-36=32$

So,

$f(x)=\dfrac{9}{5}x+32$

This is the function which converts Celsius to Fahrenheit.

And function

$g(x)=\dfrac{5(x-32)}{9}$ converts Fahrenheit to Celsius.

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2 years ago

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-1.2 = 1.8x<br> what does x equal?

Eddi Din [679]

Answer:

Step-by-step explanation:

. 6

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3 years ago

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