How do I write this in sigma notation?

The line m has a slope of 4. What is the slope of a line perpendicular to line m?

max2010maxim [7]

Answer:

The slope of the perpendicular line is -1/4

Step-by-step explanation:

Perpendicular lines have slopes that multiply to -1

Let the slope of the perpendicular line have sloe p

m*p = -1

4 * p = -1

Divide each side by 4

p = -1/4

The slope of the perpendicular line is -1/4

3 0

3 years ago

Read 2 more answers

- What is the area of the figure below? Use 3.14 for T. 7 cm 22 cm 18 cm

ziro4ka [17]

Answer: $\Large\boxed{Total~area=586.17~cm^2}$

Step-by-step explanation:

<h2>PART I: Find the area of the triangle</h2>

Given information

$Height=7~cm$

$Base=18~cm$

Given formula

$A=b\times h\times\dfrac{1}{2}$

$A=Area\\b=base\\h=height\\$

Substitute values into the formula

$A=(7)\times (18)\times\dfrac{1}{2}$

Simplify by multiplication

$A=(7)\times 9$

$A=63~cm^2$

<h2>PART II: Find the area of the rectangle</h2>

Given information

$Height = 18~cm$

$Base=22~cm$

Given formula

$A=b\times h$

$A=Area\\b=base\\h=height\\$

Substitute values into the formula

$A=(22)\times (18)$

Simplify by multiplication

$A=396~cm^2$

<h2>PART III: Find the area of the half-circle</h2>

Given information

Diameter = 18 cm

Given formula

$A=(\dfrac{d}{2} )^2\times \pi \div2$

$A=Area\\d=diameter$

Substitute values into the formula

$A=(\dfrac{18}{2} )^2\times (3.14) \div2$

Simplify the fraction

$A=(9 )^2\times (3.14) \div2$

Simplify the exponents

$A=81\times (3.14) \div2$

Simplify by multiplication

$A=254.34\div2$

Simplify by division

$A=127.17~cm^2$

<h2>PART IV: Find the total area</h2>

Given formula

$Total~area=Triangle+Rectangle+circle~(half)$

Substitute values into the formula

$Total~area=(63)+(396)+(127.17)$

Simplify by addition

$Total~area=459+(127.17)$

$\Large\boxed{Total~area=586.17~cm^2}$

Hope this helps!! :)

Please let me know if you have any questions

3 0

1 year ago

The ratio of the lengths of corresponding sides of two similar octagons is 8:9. what is the ratio of their perimeters? *

Anettt [7]

The ratio of perimeters is the same as the ratio of the corresponding sides: 8:9.

_____
Any corresponding length measures of the similar figures will have the same ratio.

5 0

2 years ago

I’ve been stuck on this question since beginning of my freshman year! Someone please explain how to do this please??!

dexar [7]

Hi!

There might be different variations into how anyone would approach this problem but this is by far an easy way for me.

In order to solve fractional relationships with a variable, a perfect way to solve them would be to cross multiply and make them equal to each other.

You see the part '3y+12', and when you criss cross over to the other side of the equation, you get three. Multiply that together.

When you see the part '6', when you glide diagonally, you find '4y'. Multiply this together as well. Make them equal to each other.

(This is how you do cross multiplication.)

You should get something like this:

3(3y+12)=6(4y) Distribute the three on the left side and multiply. Do the same on the right.

9y+36=24y Now, you can combine like terms by subtracting 9y to the other side.

36=15y Isolate y and divide it by 15.

y=2.4

I was unclear of the answer, so I plugged in 2.4 into the original equation where the y variable was, and got the right answer, so 2.4 should be the correct one no matter how you got it.

I hope this helped!

8 0

2 years ago

Suppose marine Turn in late vote for graffiti votes to rabbit votes

Ymorist [56]

Um what?! i vote rabbit

3 0

3 years ago