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3 years ago

What is the slope of a line that is perpendicular to the line whose equation is 3x+5y=4?

Mathematics

1 answer:

kap26 [50]3 years ago

8 0

Answer:

5/3 or 1.67

Step-by-step explanation:

Find the slope of the original line

3x+5y=4 Subtract 3x from both sides

5y = - 3x + 4 Divide both sides by 5

y = (-3/5)x + 4

The original line has a slope of - 3/5 or - 0.6

Find the slope of the perpendicular line

m1 * m2 = - 1

m1 = - 3/5

m2 = -1/(-3/5)

m2 = 5/3

The slope of the perpendicular line is

5/3 or 1.67

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Aye help me please :)

mina [271]

Answer:

there's no solution.

Step-by-step explanation:

if y = 3x -4 then use this instead of y in the second equation

9x -3(3x+4) = 14 ➡9x-9x -12 = 14 9x will eliminate -9x and -12 can't be = 14 so there's no solution

4 0

2 years ago

An aquarium measures 61 cm long, 30.5 cm wide, and 30.5 cm high.If the tank is only filled to 80% capacity with water, how much

LiRa [457]

Answer:

$V=45396.2\ cm^3$

Step-by-step explanation:

Given that,

The dimensions of an aquarium are 61 cm long, 30.5 cm wide, and 30.5 cm high.

The tank is filled to 80% capacity with water.

We need to find the water needed for this tank.

The volume of cuboid is given by :

$V=lbh$

As it is filled to 80% capacity, so,

$V=\dfrac{80}{100}\times lbh\\\\=0.8\times 61\times 30.5\times 30.5\\\\V=45396.2\ cm^3$

So, $45396.2\ cm^3$ of water is needed for this tank.

5 0

2 years ago

The length of a rectangle is 6 cm longer than its width.

oksian1 [2.3K]

2(6+w)+2(w)=40
12+2w+2w=40
12+4w=40
4w=28
w=7
Now we know that the width is 7; abd the length is 7+6 which is 13.
To find the area we multiply 13x7
The area is 92cm squared

4 0

2 years ago

Allie has 3 pairs of white socks, 5 pairs of blue socks, and 2 pairs of pink socks. Wade has 8 pairs of white socks, 1 pair of b

Helen [10]

3 more. The color doesn't matter at all. It's all about the amount.

6 0

3 years ago

Read 2 more answers

39 is what percent of 96

ra1l [238]

Answer:

40.625%

Step-by-step explanation:

This is a very simple question.

We have to understand converting word equations to algebraic ones.

"is" means "="

"of" means "*"

So, we can write:

39 = what percent * 96

Now, we let "what percent" be "p" and solve the equation for p:

39 = P * 96

So,

$39 = P * 96\\39=96P\\P=\frac{39}{96}\\P=0.40625$

Converting this decimal to percentage means multiplying by 100, so we have:

0.40625 * 100

= 40.625%

7 0

3 years ago