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3 years ago

What is the equation of the line perpendicular to y=2/3x+1 that passes through the point (12, -6)?

Mathematics

1 answer:

bixtya [17]3 years ago

5 0

Answer:

y= -3/2x + 12

Step-by-step explanation:

When finding a perpendicular line you take your slope and make it the opposite (flip it and change the sign).

Slope originally=2/3

New slope= -3/2

Next we will use the point slope equation

y-y1=m(x-x1)

y1=y value

m=slope

x1=x value

y--6= -3/2(x-12) Since you have y minus negative 6 you get to change it to y+6

y+6= -3/2(x-12) Now distribute your slope to both terms inside the parenthesis.

y+6= -3/2(x) -3/2(-12)

y+6= -3/2x +18 Finally subtract 6 from both sides.

-6 -6

y= -3/2x + 12

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Un carpintero quiere cortar una plancha de triple y de 1m de largo y 60 cm de ancho, en cuadrados lo más grandes posibles. El ca

Ugo [173]

Answer: $20\ cm$

Step-by-step explanation:

The first step to solve the exercise is to make the conversion from meters to centimeters.

Since $1\ m=100\ cm$ , then the dimensions of the wood board in centimeters are:

$Lenght=100\ cm\\\\Width=60\ cm$

Now, you must find the Greatest Common Factor (GCF). The steps are:

- Descompose 100 and 60 into their prime factors:

$100=2*2*5*5=2^2*5^2\\60=2*2*3*5=2^2*3*5$

- Multiply the commons with the lowest exponents:

$GCF=2^2*5\\\\GCF=4*5\\\\GCF=20$

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$s=20\ cm$

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3 years ago

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melisa1 [442]

Answer:

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3 years ago

Read 2 more answers

What is the value the 0 in the number 601,099

Gekata [30.6K]

There is one zero in the ten thousands place.
There is another zero in the hundreds place.
Both of them have the value of zero.

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3 years ago

zheka24 [161]

Answer:

The circumference of the smaller circle is:

C = 2*pi*x/3

Step-by-step explanation:

We know that for a circle of radius R the circumference is given by:

C = 2*pi*R

where pi = 3.14...

Here we have two circles, A and B, where B is the larger circle and A is the smaller circle.

We know that:

The circumference of B is 3 times the circumference of A.

The radius of circle B is: OB = x

The radius of circle A is: OA

We want to find an expression of OA.

The circumference of circle B will be:

C(B) = 2*pi*OB = 2*pi*x

The circumference of circle A will be:

C(A) = 2*pi*OA

And we know that the circumference of circle B is 3 times the circumference of circle A, then:

C(B) = 3*C(A)

replacing the equations for the circumferences, we get:

2*pi*x = 3*(2*pi*OA)

dividing both sides by 2*pi, we get:

x = 3*OA

Now we want to solve this for OA, then we need to isolate it,

x/3 = OA

We can conclude that the radius of the smaller circle is equal to x/3.

Then the circumference of circle A is:

C(A) = 2*pi*x/3

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2 years ago

Mr nealy has $107.40 he withdrew $120 from the ATM. Does he have enough money to pay for the meal? If he has enough money, how m

guapka [62]

Answer: He has enough

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2 years ago