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3 years ago

The equation perpendicular to y = (1/3)x + 1 that passes through (-2, -3).

Mathematics

1 answer:

vekshin13 years ago

8 0

y= -3x-9

Step-by-step explanation:

by using the formula, m1.m2= -1

m2= -3 then using the straight line formula

y+3= -3(x+2) y= -3x-9

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3x + y =11<br> 5x - y = 21<br> Solve each system of equations by elimination. Answer QUICK!!!!!!!

julia-pushkina [17]

Answer/Step-by-step Explanation:

1. 3x + y = 11 => equation 1

5x - y = 21 => equation 2

Subtract equation 2 from equation 1 to eliminate y variable

3x + y = 11

5x - y = 21

-2x = - 10

Divide both sides by -2

-2x/-2 = -10/-2

x = 5

Substitute x = 5 into equation 1 or 2:

3x + y = 11 => equation 1

3(5) + y = 11

15 + y = 11

y = 11 - 15 (subtraction 15 from each side)

y = -4

Solution: x = 5, y = -4

2. 5x + 12y = -34 => equation 1

2x + 4y = -12 => equation 2

Multiply equation 1 by 2, multiply equation 2 by 5.

2(5x + 12y = -34) => 10x + 24y = -68 => eqn 3

5(2x + 4y = -12) => 10x + 20y = -60 => eqn 4

Subtract eqn 4 from eqn 3

4y = -8

Divide both sides by 4

y = -2

Substitute y = -2 into equation 2

2x + 4y = -12 => equation 2

2x + 4(-2) = -12

2x - 8 = -12

2x = -12 + 8 (adding 8 to both sides)

2x = -4

Divide both sides by 2

x = -2

Solution: x = -2, y = -2

7 0

3 years ago

Graph it pleaseeeeeeeeeeeeeeeeeeeeeeeeeeee

mina [271]

Answer:

Step-by-step explanation:

5c + 4f ≥ 200

c + f ≤ 60

c > 0

f > 0

5 0

2 years ago

Please help? I'm. terrible at these

kykrilka [37]

13.5 = 30% of 45
4.5 = 15% of 30
4.6 = 23% of 20
4.2 = 60% of 7

Hope this helps!!

3 0

3 years ago

Given:

V125BC [204]

Answer:

10 since its half of the original

6 0

3 years ago

The back of Jill's property is a creek. Jill would like to enclose a rectangular area, using the creek as one side and fencing f

uranmaximum [27]

Answer:

$A= 125*250=31250 ft^2$

Step-by-step explanation:

Let's define some notation first :

w= width , l = length , A= Area, P perimeter

For this case we want to maximize the Area given by this function:

A= l w (1)

With the following restriction P=500 ft

We know that the perimeter on this case is given by:

$P=2w +l$

Since they are using the creek as one side.

So then we have this:

$500 =2w +l$ (2)

Now we can solve w in terms of l from eqaution (2) and we got:

$w=\frac{500-l}{2}$ (3)

And we can replace this condition into equation (1) like this:

$A= \frac{500-l}{2} l =250l - \frac{1}{2} l^2$

And we can maximize this function derivating respect to l and we got:

$\frac{dA}{dl}= 250 -l=0$

And then we got that $l=250$

And if we solve for w from equation (3) we got:

$w=\frac{500-250}{2}=125$

And then the dimensions would be:

$l =250ft , w=125ft$

And the area would be:

$A= 125*250=31250 ft^2$

7 0

3 years ago