Ask question

Ask question

All categories

kakasveta [241]

3 years ago

15

Which do the following equations represent? -4x-5y=-4 and 10x-8y=-1

1 answer:

kicyunya [14]3 years ago

5 0

Parallel have same slope
Perpendicular have opposite reciprocal slopes. Ex. 2/3 is slope of one line so the perpendicular line would have slope of -3/2.

Find slopes of these lines.

-4x-5y=-4
-4x+4 =5y
Divide by 5

Y= -4x/5 +4/5

Second line: 10x-8y=-1

10x+1=8y
Divide by 8

10x/8 +1/8 =y

Y= 5x/4 +1/8

So if you look at slope of line 1= -4/5 and line 2 it’s 5/4 so these both are perpendicular.

You might be interested in

Find the surface area of the figure. 11 in. SA = [ ? ]in.? = 2 in. 5 in. Enter

uysha [10]

The surface area is 174

8 0

2 years ago

Solve for x: <br>5x - 3y = 22<br> 10x - 4y = 46

Alik [6]

Answer:

x=5, y=1

Step-by-step explanation:

Isolate x for 5x-3y=22

5x-3y=22

Add 3y to both sides

5x-3y+3y=22+3y

Simplify

5x=22+3y

Divide both sides by 5

5x/5=22/5+3y/5

Simplify

x=22+3y/5

Substitute x=22+3y/5

10*22+3y/5-4y=46

Simplify 10*22+3y/5-4y

10*22+3y/5=2(3y+22)

=2(3y+22)-4y

Expand 2(3y+22)

=6y+44-4y

Simplify 6y+44-4y

=2y+44

Isolate y for 2y+44=46

2y+44=46

Subtract 44 from both sides:

2y+44-44=46-44

Simplify

2y=2

Divide both sides by 2;

2y/2=2/2

Simplify;

y=1

For x=22+3*1/5 substitute y=1

y=22+3*1/5

22+3*1=25

=25/5

Divide the numbers;25/5=5

=5

x=5

The solutions to the system of equations are;

x=5, y=1

8 0

3 years ago

Line CD passes through (0, 1) and is parallel to x + y = 3. Write the standard form of the equation of line CD. x + y = 1 x – y

Rudiy27

ANSWER

x+y=1

EXPLANATION

We want to find the equation of line CD which passes through (0, 1) and is parallel to x + y = 3.

In slope intercept form, the given line is

y=-x+3

The slope of this line is m=-1

Line CD also has the same slope

The equation is given by:

y=mx+b

The given point (0,1) means the y-intercept;is b=1

Hence the equation is

y=-x+1

In standard form the equation is:

x+y=1

8 0

4 years ago

Read 2 more answers

What is 24x128725(7x782)/199+4+23

ryzh [129]

Answer:

$\bold{\frac{8455687800}{113}}$

Step-by-step explanation:

$\frac{24\times \:128725\left(7\times \:782\right)}{199+4+23}$

$\mathrm{Add\:the\:numbers:}\:199+4+23=226$

$=\frac{24\times \:128725\times \:7\times \:782}{226}$

$\mathrm{Factor\:the\:number:\:}\:24=2\times \:12$

$=\frac{2\times \:12\times \:128725\times \:7\times \:782}{226}$

$\mathrm{Factor\:the\:number:\:}\:226=2\times \:113$

$=\frac{2\times \:12\times \:128725\times \:7\times \:782}{2\times \:113}$

$\mathrm{Cancel\:the\:common\:factor:}\:2$

$=\frac{12\times \:128725\times \:7\times \:782}{113}$

$\mathrm{Multiply\:the\:numbers:}\:12\times \:128725\times \:7\times \:782=8455687800$

$\bold{=\frac{8455687800}{113}}$

$\mathrm{Decimal:74829095.57522}$

5 0

3 years ago

Kimmy earns a $200 commission on all

aalyn [17]

The equation is 30,000+200x=80,000. X is the number of sales.

8 0

3 years ago