Can you please help me solve this

What is the slope of the line parallel to 3x + y = 12?

Doss [256]

Answer:

slope = -3

Step-by-step explanation:

1) Rearrange eqn into slope intercept form

slope intercept form: y = mx + b

where...

m = the slope

b = the y-intercept (where the line crosses the y axis)

3x + y = 12

y = -3x+12

2) Know parallel rule. A line that runs parallel has the same slope but a different y-intercept

So the slope is: -3

8 0

3 years ago

Read 2 more answers

Complete the proof with the statements and reasons below. Write the letter of the statement or reason in the box.

maw [93]

Base on the question that said to write the letter of the statement or the reason in the said numbers in the question, and in my further analysis and research, the following are the answers:
Statements:
#1 C. x=15
#2 G. 3x-12=33
#3 L. 3x=45
#4 O. 3x+0=45
#5 s. 3(x-4)=33

Reasons:
#1 R. Given
#2 F. Subtraction Property of Equality
#3 I. Division Property of Equality
#4 E. Addition Property of Equality
#5 Distributive Property

8 0

3 years ago

William Arsenio is remodeling his home in order to save money he is upgrading the plumbing himself he needs 27 pieces of copper

Reptile [31]

Answer:

Yes.

2 feet

Step-by-step explanation:

Pieces of copper that Arsenio needs in total = 27 pieces

Length of each piece of copper tubing that he needs = 2/9 foot

Length of available tubing = 8 foot

Since, the length of each piece is 2/9 foot, the length of 27 pieces would be:

$\frac{2}{9} \times 27 = 6$

This means, Arsenio needs 6 feet in total for the copper tubing. Since he got 8 feet in total, he has sufficient amount of tubing available.

After making the 27 pieces, he will be left with 8 - 6 = 2 feet of tubing.

6 0

3 years ago

Find the scale factor please.

torisob [31]

Answer:

5/2

Step-by-step explanation:

The scale factor for linear measures, such as perimeter, is the square root of the scale factor for areas. The ratio of larger area to smaller is ...

... 75/12 = 25/4

so the ratio of the larger perimeter to the smaller is ...

... √(25/4) = 5/2

3 0

3 years ago

A landscape designer has to construct a rectangular flower bed with a perimeter of 100 feet and the maximum possible area. What

Alinara [238K]

9514 1404 393

Answer:

625 square feet

Step-by-step explanation:

The greatest area of a polygon with a given perimeter is that of a regular polygon. A regular rectangle is one that has all sides the same length -- a square. The side length of a square with 100 ft perimeter is 25 ft. The area of a square with such a side length is

A = (25 ft)² = 625 ft²

The maximum possible area is 625 ft².

__

In the attached, x is the length of one side. The area versus side length is plotted. The maximum is seen to be 625 ft² for a side length of 25 ft.

8 0

3 years ago