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Aleksandr [31]
3 years ago
12

Find the equation for the line passing through the point (−3,−3) and perpendicular to the line whose equation is −1x+2y+2=0.

Mathematics
1 answer:
RSB [31]3 years ago
6 0
First we have to figure out the slop of the given equation:
-1x+2y+2=0
y=1/2x - 1 

So the slope is 1/2. A line perpendicular to this line has a slope of the negative reciprocal of this slope. So the slope of the line you want to find is -2.

So:  y +3 = -2(x+3).

And you can expand into the form that you want (or just keep it this way). :)
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The volume of a cube is 216 ft. What is the length of a side?
irina [24]

Answer: 6 in.

Step-by-step explanation:

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Consider the function f(x)=8-3x^2 find the value of f(x) when x= 3
scoray [572]
You start with f(x)=8-3(3)². Then, going in order of PEMDAS, you start with your exponent. So you have f(x)=8-3(9). Then multiplication, f(x)=8-27. Then your subtraction. f(x)=-19
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Find the domain of the rational expression: x-3/2x-8
miss Akunina [59]

Answer:

\huge\boxed{x\neq4\to x\in\mathbb{R}\backslash\{4\}}

Step-by-step explanation:

\dfrac{x-3}{2x-8}

We know: the denominator must be different than 0.

Therefore

2x-8\neq0        <em>add 8 to both sides</em>

2x-8+8\neq0+8

2x\neq8             <em>divide both sides by 2</em>

\dfrac{2x}{2}=\dfrac{8}{2}\\\\x\neq4

6 0
3 years ago
PLEASE HELP QUICK!!! A bowl has 85 pieces of candy. Nineteen children empty the bowl of candy. Some children take 3 pieces, some
Mekhanik [1.2K]

Answer: 3 kids take 3 pieces of candy each

Step-by-step explanation:

Let the number of children that took 3 pieces is x ( total take 3*x pieces of candy)

Number of children that took 5 pieces is y ( total take 5*y pieces of candy)

1 child took 1 piece that actually means that x+y=18 and 3*x+5*y=84.

( Because total number of all kids is 19. We just deduct one kid (Let his name is John) who took only 1 candy.  So we have 19-1 =18 kids without John. The similar is with the candies. Total number is 85. We deduct 1 piece which John has taken. )

So we have 2 equations or the system of 2 equations:

1).  x+y=18

2). 3*x +5*y=84

Multuply both sides of equation 1) by 3

We have   3*x+3*y=18*3

Deduct 3*y from both sides of this equation

3*x+3*y-3*y=54-3*y

3*x=54-3*y

Substitute 3*x in equation  2).  by 54-3*y

2) 54-3*y+5*y=84

2*y=30

y=15  ( kids take 5 pieces of candy each)

Using equation 1) find x

x+15=18

x=3 (kids take 3 pieces of candy each)

5 0
3 years ago
Consider the equation y=-2x+5. Describe everything you know about this graph compared to the parent linear function y=x.​
Mekhanik [1.2K]
Function y = -2x + 5:
slope of -2
y intercept at 5
x intercept at 2 1/2

function y = x
slope of 1
y intercept at 0
x intercept at 0
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