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2 years ago

The lines below are perpendicular if the slope of the solid line is 4 what is the slope of the dashed line

Mathematics

1 answer:

const2013 [10]2 years ago

8 0

Answer:

The slope of the dashed line is $-\frac{1}{4}$

Step-by-step explanation:

Perpendicular lines and slopes:

If two lines are perpendicular, the multiplication of their slopes is -1.

What is the slope of the dashed line

Perpendicular to a line with slope 4, so:

$4m = -1$

$m = -\frac{1}{4}$

The slope of the dashed line is $-\frac{1}{4}$

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Answer:

$20,475\ ways$

Step-by-step explanation:

we know that

<u><em>Combinations</em></u> are a way to calculate the total outcomes of an event where order of the outcomes does not matter.

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$C(n,r)=\frac{n!}{r!(n-r)!}$

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r represents the number of items being chosen at a time.

In this problem

$n=28\\r=4$

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$C(28,4)=\frac{28!}{4!(28-4)!}\\\\C(28,4)=\frac{28!}{4!(24)!}$

simplify

$C(28,4)=\frac{(28)(27)(26)(25)(24!)}{4!(24)!}$

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2 years ago

Alan is building a garden shaped like a rectangle with a semicircle attached to one short side. If he has 70 feet of fencing to

viktelen [127]

The dimension that would give the maximum area is 20.8569

<h3>How to solve for the maximum area</h3>

Let the shorter side be = x

Perimeter of the semi-circle is πx

Twice the Length of the longer side

$[70-(\pi )x -x]$

Length = $[70-(1+\pi )x]/2$

Total area =

area of rectangle + area of the semi-circle.

Total area =

$x[[70-(1+\pi )x]/2] + [(\pi )(x/2)^2]/2$

When we square it we would have

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This gives

$70x - [3.3562]x^2$

From here we divide by 2

$35x - 1.6781x^2$

The maximum side would be at

$x = 35/2*1.6781$

This gives us 20.8569

Read more on areas and dimensions here:

brainly.com/question/19819849

#SPJ1

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1 year ago

4×+5 ayudenme por favor

Anvisha [2.4K]

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Necesitamos saber la respuesta a la ecuación, porque así es como funcionan las funciones.

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