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3 years ago

Can you factor m3 - 216

Mathematics

1 answer:

Sergio039 [100]3 years ago

6 0

Answer:

Step-by-step explanation:

m³ -216 = m³ - 6³

a³ - b³ = (a-b) (a² + ab + b²)

a = m and b = 6

m³ - 6³ = (m - 6)(m² + 6m + 6²)

= (m - 6)(m² + 6m + 36)

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Let p be the statement "I do my chores," and let q be the statement "I get my allowance." Which statement uses p as the hypothes

andrew-mc [135]

Step-by-step explanation:

given that

p= "I do my chores"

q= "I get my allowance."

The statement that uses p as hypothesis is, if "I do my chores", which leads to the conclusion of "I get my allowance."

hence the test/ hypothesis is if "I do my chores", i get my allowance

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3 years ago

A certian natural number is not divisible by 7. Can it be divisible by 14?

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Yes, because I think two could work

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3 years ago

How do you solve for x the similarity statement is abc~ xyz

tensa zangetsu [6.8K]

Answer:

m<X= 36.87 degrees

Step-by-step explanation:

Since the triangle abc and xyz are similar, hence;

m<C = m<Y

90 = x - 5

Add 5 to both sides

90+5 = x-5+5

95 = x

Swap

x = 95

m<Y = x - 5

m<Y = 95 - 5

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Find m<X

Using the SOH CAH TOA

Opposite to m<X = YZ = 6

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3 years ago

I need someone to help me do this, see attached documents for the questions

Brilliant_brown [7]

Answer:

1.) 20.2

Step-by-step explanation:

1.) You need to use the distance formula:

$d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}$

Find the distance of A to B first:

$(-2,2)(3,2)\\\\\sqrt{(3+2)^2+(2-2)^2}\\\\\sqrt{(5)^2+(0)^2}\\\\\sqrt{25} =5$

B to C:

$(3,2)(-1,-5)\\\\\sqrt{(-1-3)^2+(-5-2)^2}\\\\\sqrt{(-4)^2+(-7)^2}\\\\\sqrt{16+49}\\\\\sqrt{65} =8.06=8.1$

C to A:

$(-1,-5)(-2,2)\\\\\sqrt{(-2+1)^2+(2+5)^2}\\\\\sqrt{(-1)^2+(7)^2}\\\\\sqrt{1+49}\\\\\sqrt{50}=7.07=7.1$

Add distances to find the perimeter:

$5+8.1+7.1=20.2$

2.) Part A:

You need to use the mid-point formula:

$midpoint=(\frac{x_{1}+x_{2}}{2} ,\frac{y_{1}+y_{2}}{2} )$

$(3,2)(7,11)\\\\(\frac{3+7}{2},\frac{2+11}{2})\\\\(\frac{10}{2},\frac{13}{2})\\\\m=( 5,6.5)$

Part B:

1. Use the slope-intercept formula:

$y=mx+b$

M as the slope, b the y-intercept.

Find the slope of the two points A and B using the slope formula:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} =\frac{rise}{run}$

Insert slope as m into equation.

Take point A as coordinates $(x,y)$ and insert into the equation. Solve for the intercept, b:

$(y)=m(x)+b$

Insert the value of b into the equation.

2. Use the mid-point coordinate. Take the slope.

If you need to find the perpendicular bisector, you will take the negative reciprocal of the slope. Switch the sign and flip it. Ex:

$\frac{1}{2} =-\frac{2}{1}=-2\\$

Insert the new slope into the slope-intercept equation as m.

Take the mid-point coordinate as (x,y) and insert into the equation with the new points. Solve for b.

Insert the value of b.

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3 years ago

Ida is walking dogs to help pay for sports equipment. She gets paid $10 for every dog walked and made a total of $70 on Saturday

Stells [14]

A because x next to ten represents the amount of dogs that she walked

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3 years ago

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