All categories

2 years ago

9:45 on Tuesday Questions

Mathematics

1 answer:

Serga [27]2 years ago

3 0

Answer:

Neither

Step-by-step explanation:

-12x + 3y = 3

y = 4x + 1

y = mx + b

The second equation given is set up in the correct form already (y = 4x + 1)

We have to convert the first equation into the same format

-12x + 3y = 3

Isolate the y

3y = 3 + 12x

Divide the 3 from the y and the other side

y = 1 + 4x

y = 4x + 1

This is the same as the first equation

They can only be parallel if their slope (m or 4 in this case) is the same and their y-intercepts (b or 1 in this case) are different. Since the equations are the exact same and do not fit the y-intercept criteria for parallel, they cannot be parallel. If they were perpendicular, their lines must cross. This means they have to contain reciprocals or opposite slopes. Our slope here for both of them is 4 or 4/1. Since neither are the opposite (which would be 1/4), it is not perpendicular. Therefore, the answer is neither

You might be interested in

Solve for x -12+4=100

strojnjashka [21]

Answer by JKismyhusbandbae:

$x-12+4=100\\\mathrm{Add/Subtract\:the\:numbers:}\:-12+4=-8\\x-8=100\\\mathrm{Add\:}8\mathrm{\:to\:both\:sides}\\x-8+8=100+8\\\mathrm{Simplify}\\x=108$

3 0

2 years ago

A tree casts a shadow 27 m long. At the same time, the shadow cast by a 66-cm tall statue is 56 cm long. Find the height of the

Nata [24]

$\frac{height _{1} }{shadow_{1}} = \frac{height _{2} }{shadow_{2}}$

$\frac{height _{1} }{27m} = \frac{66cm}{56cm}$

$\frac{height _{1} }{2700cm} = \frac{66cm}{56cm}$

$2700*66=56*h _{1}$

$178200=56h _{1}$

$3182.1cm=h _{1}$

$\frac{3182.1cm}{1000cm} = 3.2m$

$height:3.2m$

6 0

2 years ago

Read 2 more answers

What is the length, in feet, of the hypotenuse of a right triangle with legs that are 3 feet long and 4 feet long? Question 10 o

wel

A^2+b^2=c^2 so 4(4) +3(3) is 16+9= 25 and the square root of that is 5.

7 0

2 years ago

Aaron is using a special beaker in science that is a cylinder with a radius of 2 cm and a height of 3 cm on top of a cylinder th

Vilka [71]

Since in the above case, the beaker has two sections each with different radius and height, we will divide this problem into two parts.

We will calculate the volume of both the beakers separately and then add them up together to get the volume of the beaker.

Given, π = 3.14

Beaker 1:

Radius (r₁) = 2 cm
Height (h₁) = 3 cm

Volume (V₁) = π r₁² h₁ = 3.14 x 2² x 3 = 37.68 cm³

Beaker 2:

Radius (r₂) = 6 cm
Height (h₂) = 4 cm
Volume (V₂) = π r₂² h₂ = 3.14 x 6² x 4 = 452.16 cm³

Volume of beaker = V₁ + V₂ = 37.68 + 452.16 = 489.84 cm³

7 0

2 years ago

Read 2 more answers

What is a square root?

Vlad [161]

Number that produces a specified quantity when multiplied by itself
Example : “ 7 is a square root of 49 “ BECAUSE 7x7=49

6 0

2 years ago

Read 2 more answers