All categories

3 years ago

Write the equation of the line going through the point (4,6) that is perpendicular to the lie 3x+6y=12

1 answer:

3 0

3x + 6y = 12
6y = - 3x + 12
y = - 1/2x + 2

Since your slope is - 1/2, we take the opposite reciprocal to find the perpendicular slope. Your perpendicular slope is 2.

y = 2x + b

Plug in the point to solve for b and get your final line.

6 = 2(4) + b
6 = 8 + b
6 - 8 = b
- 2 = b

y = 2x - 2 is your perpendicular line

You might be interested in

A rectangle is to be inscribed in a right triangle having sides of length 6 in, 8 in, and 10 in. Find the dimensions of the rect

Helga [31]

Answer: width = 2.4 in, length = 5

Step-by-step explanation:

The max area of a right triangle is half the area of the original triangle.

Area of the triangle = (6 x 8)/2 = 24

--> area of rectangle = 24 ÷ 2 = 12

Next, let's find the dimensions.

The length is adjacent to the hypotenuse. Since we know the area is half, we should also know that the length will be half of the hypotenuse.

length = 10 ÷ 2 = 5

Use the area formula to find the width:

A = length x width

12 = 5 w

12/5 = w

2.4 = w

8 0

3 years ago

7. The farmer's den___ big eggs lays or lace ?

alexandr1967 [171]

Answer:

lays

Step-by-step explanation:

4 0

3 years ago

I need help..Please make it correct..

STatiana [176]

Answer:

11/13

Step-by-step explanation:

3/13, 5/13, 7/13, 9/13, 11/13

3/13

3/13 + 2/13 = 5/13

5/13 + 2/13 = 7/13

7/13 + 2/13 = 9/13

9/13 + 2/13 = 11/13

4 0

3 years ago

Six pyramids are shown inside of a cube. The height of the cube is h units. Six identical square pyramids can fill the same volu

MAXImum [283]

Answer:

(A)The height of each pyramid is One-half h units.

Step-by-step explanation:

Height of the Cube = h units

Volume of the Cube $=h^3 $ cubic units$

If Base of the cube =Base of the square pyramid

Base of the square pyramid = h units

$\text{Volume of a Pyramid}=\dfrac{1}{3}*Base Area*Height$

$\text{Volume of One Pyramid}=\dfrac{1}{3}*h^2*Height$

$\text{Volume of Six Pyramids}=6*\dfrac{1}{3}*h^2*Height\\=(2h^2*Height)\:cubic\:units$

Since Volume of the Cube = Volume of Six Square Pyramids

Then:

$2h^2*Height=h^3\\Height=\dfrac{h^3}{2h^2} \\$Height of each pyramid =\dfrac{1}{2}h \:Units$

5 0

3 years ago

Read 2 more answers

Doug had been working 20 hours per week at a pet store for $8.00 per hour. His pay was increased to $8.50 per hour, and his hour

stellarik [79]

Answer:

$44

Step-by-step explanation:

First, find how much he was making originally:

Multiply the number of hours he worked by the amount he got per hour:

20(8)

= 160

Then, find how much he gets now:

24(8.50)

= 204

To find his total weekly pay increase, find the difference between them:

204 - 160

= 44

So, his total weekly pay increase is $44

5 0

3 years ago