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Veseljchak [2.6K]

3 years ago

6

Given the line 2x - 3y - 5 = 0, find the slope of a line that is perpendicular to this line.

2 answers:

shusha [124]3 years ago

8 0

<span>2x - 3y - 5 = 0
3y = 2x - 5
y = 2/3 x - 5/3 so this line has slope = 2/3
perpendicular lines, slope is opposite and reciprocal
so slope = -3/2

answer
-3/2</span>

mojhsa [17]3 years ago

3 0

The Slope of "<span>2x - 3y - 5 = 0" is:

m = 2/3.

Use the mx+y formula to solve this question.

The correct answer is: B

This is a verified answer. </span>

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2 years ago

The amount of time it takes Isabella to wait for the bus is continuous and uniformly distributed between 3 minutes and 17 minute

Arturiano [62]

Answer:

P(X>5) = 0.857

Step-by-step explanation:

Let X $\sim$ uniform(3.17)

$f(x) = \dfrac{1}{17-3} ; \ \ \ 3 \le x \le 17$

The required probability that it will take Isabella more than 5 minutes to wait for the bus can be computed as:

$P(X > 5) = \int ^{17}_{5} f(x) \ dx$

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6 0

3 years ago

A vacant lot is being converted into a community garden. The garden and and a walkway around its perimeter have an area of 460 s

mariarad [96]

Answer:

The width of the walkway is 4 feet.

Step-by-step explanation:

The garden and a walkway around its perimeter have an area of 460 square feet.

The length of the garden = 15 feet

The width of the garden = 12 feet

Assuming that walkway is of uniform width, we can solve the following equation.

$(12+2x)\times(15+2x)= 460$

Expanding this we get;

$4x^{2}+54x+180=460$

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We will solve this using quadratic equation formula:

$x=\frac{-b\pm \sqrt{b^{2} -4ac} }{2a}$

Here a = 4 , b = 54 , c = -280

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Hence, the width of the walkway is 4 feet.

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3 years ago

Which table shows a proportional relationship between x and y?

S_A_V [24]

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Step-by-step explanation:

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3 years ago