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3 years ago

Which equation represents the line that is perpendicular yo y=3/2x+1 and passes through (-12,6)

Mathematics

1 answer:

klemol [59]3 years ago

6 0

Answer:

y = -2/3x - 2

Step-by-step explanation:

Step 1: Find slope m of perpendicular line

Simply take the negative reciprocal of the given line

m = -2/3

y = -2/3x + b

Step 2: Find b

6 = -2/3(-12) + b

6 = 8 + b

b = -2

Step 3: Rewrite perpendicular equation

y = -2/3x - 2

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If you want to place a 9 3/4inch towel bar in the center of a door that is 27 1/2 wide how much faith will be on the each side o

vlada-n [284]

Either 1.4 or 1.75 i think

6 0

3 years ago

Find the remainder when f(x)=x3−4x2−6x−3 f ( x ) = x 3 − 4 x 2 − 6 x − 3 is divided by x+1

loris [4]

Answer:

The remainder is -2.

Step-by-step explanation:

According to the Polynomial Remainder Theorem, if we divide a polynomial P(x) by a binomial (x - a), then the remainder of the operation will be given by P(a).

Our polynomial is:

$P(x) = x^3-4x^2-6x-3$

And we want to find the remainder when it's divided by the binomial:

$x+1$

We can rewrite our divisor as (x - (-1)). Hence, a = -1.

Then by the PRT, the remainder will be:

$\displaystyle\begin{aligned} R &= P(-1)\\ &=(-1)^3-4(-1)^2-6(-1)-3 \\ &= (-1)-4(1)+(6)-3 \\ &= -2 \end{aligned}$

The remainder is -2.

5 0

2 years ago

PLZ HELP!!!!!! (WILL GIVE BRAINLIEST!!!!)

nasty-shy [4]

I think you times all of the inchs together. 5x3x2=30.

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3 0

2 years ago

ROOTS AND CUBES Can someone please help me answer all 4 following?

Alex Ar [27]

NOTES:

squared (²) means multiply that number by itself 2 times
cubed (³) means multiply that number by itself 3 times
square root (√) means 2 numbers multiplied by itself on the inside simplify to 1 of that number on the outside of the radical
cubed root (∛) means 3 numbers multiplied by itself on the inside simplify to 1 of that number on the outside of the radical

Answer: (C) 41

Step-by-step explanation:

$\quad 6^2+\sqrt[3]{125} \\= 6 \cdot 6+\sqrt[3]{5\cdot 5 \cdot 5}\\= 36 + 5\\= 41$