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3 years ago

14

The price of 6 cans of soda is $5.10. What is the constant of proportionality that relates the cost in dollars, y, to the number

of cans of soda, x?

1 answer:

iren [92.7K]3 years ago

8 0

Answer:

0.85

Step-by-step explanation:

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Which function has an inverse that is a function?

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Answer:

m(x)

Step-by-step explanation:

they would have to pass the horizontal line test and the vertical line test for both the origional and the inverse.

b(x) does not pass the horizontal line test in any of the y values over 3

d(x) does not pass the horizontal line test for y=-9

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Lance paid 6% sales tax on a $30 game what total amount did Lance pay?

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The answer should be $31.80.
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3 years ago

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Agata [3.3K]

Answer:

$\frac{5x^{2} }{12}$

Step-by-step explanation:

Given: Height: x

Base: $\frac{5x}{6}$

Now, finding the area of triangle.

Formula; Area of triangle= $\frac{1}{2} \times base\times height$

⇒ Area of triangle= $\frac{1}{2}\times \frac{5x}{6} \times x$

⇒ Area of triangle= $\frac{5x^{2} }{12}$

Hence, area of triangle= $\frac{5x^{2} }{12}$

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3 years ago

Which is the correct use of the distributive property?

sergiy2304 [10]

Answer:

42+18=6(7+3)

Step-by-step explanation:

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3 years ago

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Line segment NY has endpoints N(-11, 5) and Y(3,-3).

777dan777 [17]

Given:

Line segment NY has endpoints N(-11, 5) and Y(3,-3).

To find:

The equation of the perpendicular bisector of NY.

Solution:

Midpoint point of NY is

$Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)$

$Midpoint=\left(\dfrac{-11+3}{2},\dfrac{5-3}{2}\right)$

$Midpoint=\left(\dfrac{-8}{2},\dfrac{2}{2}\right)$

$Midpoint=\left(-4,1\right)$

Slope of lines NY is

$m=\dfrac{y_2-y_1}{x_2-x_1}$

$m=\dfrac{-3-5}{3-(-11)}$

$m=\dfrac{-8}{14}$

$m=\dfrac{-4}{7}$

Product of slopes of two perpendicular lines is -1. So,

$m_1\times \dfrac{-4}{7}=-1$

$m_1=\dfrac{7}{4}$

The perpendicular bisector of NY passes through (-4,1) with slope $\dfrac{7}{4}$ . So, the equation of perpendicular bisector of NY is

$y-y_1=m_1(x-x_1)$

$y-1=\dfrac{7}{4}(x-(-4))$

$y-1=\dfrac{7}{4}(x+4)$

$y-1=\dfrac{7}{4}x+7$

Add 1 on both sides.

$y=\dfrac{7}{4}x+8$

Therefore, the equation of perpendicular bisector of NY is $y=\dfrac{7}{4}x+8$ .

6 0

2 years ago