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3 years ago

What is the equation of the line that passes through the point (-6,-6)and has a slope of -\frac{1}{3}− ?

Mathematics

1 answer:

Gnesinka [82]3 years ago

3 0

9514 1404 393

Answer:

y +6 = (-1/3)(x +6)

Step-by-step explanation:

Given a point and a slope, it is appropriate to use the point-slope form to represent the equation:

y -k = m(x -h) . . . . . line with slope m through point (h, k)

For your point and slope, the equation is ...

y -(-6) = -1/3(x -(-6))

y +6 = -1/3(x +6)

Of course, this can be rearranged to whatever form you need.

y = -1/3x -8 . . . . slope-intercept form

x +3y = -24 . . . . standard form

You might be interested in

Which expressions are equivalent to 7^8 x 7? Select all that apply.

nlexa [21]

Answer:

Step-by-step explanation:

7^8*7=

5764801 * 7= 40353607

A. 7^3*7^3= 343*343= 117649 <--- not the answer

B. 7^18/7^9= 40353607 <---- right answer

C. (7^3)^3= 343^3= 40353607 <------ right answer

D. 7^5+7^4= 16807+2401= 19208 <---- not the answer

E. 7^5*7^4= 16807*2401= 40353607 <---- right answer

7 0

3 years ago

A seed company planted a floral mosaic of a national flag. The perimeter of flag is 2,340 ft determine the flag’s width and leng

Natali5045456 [20]

Answer:

Width: 450 feet

Length: 720 feet

Step-by-step explanation:

So we start with the equation to find the perimeter -

2l + 2w = p

l = length

w = width

p = perimeter

We insert the 2,340 ft as the perimeter -

2l + 2w = 2,340 ft

Now we find another equation for the "length is 270 ft greater than width" -

l = 270 ft + w

Using substitution, we substitute the y in the first equation with 270 ft + w -

2 (270 ft + w) + 2w = 2,340 ft

540 ft + 2w + 2w = 2,340 ft

540 ft + 4w = 2,340 ft

4w = 2,340 ft - 540 ft

4w = 1,800 ft

w = 1,800 ft / 4

w = 450 ft

Now to find the width we substitute the w with 450 ft -

l = 270 ft + w

l = 270 ft + 450 ft

l = 720 ft

Check -

2 * 720 ft + 2 * 450 ft = 2,340 ft

1,440 ft + 900 ft = 2,340 ft

2,340 ft = 2,340 ft (Correct)

3 0

3 years ago

A gardener has 520 feet of fencing to fence in a rectangular garden. One side of the garden is bordered by a river and so it doe

Bond [772]

The shortest side is 130 feet, the longest side is 260 feet and the greatest possible area is 33800 square feet

<h3>What dimensions would guarantee that the garden has the greatest possible area?</h3>

The given parameter is

Perimeter, P = 520 feet

Represent the shorter side with x and the longer side with y

One side of the garden is bordered by a river:

So the perimeter is:

P = 2x + y

Substitute P = 520

2x + y = 520

Make y the subject

y = 520 - 2x

The area is

A = xy

Substitute y = 520 - 2x in A = xy

A = x(520 - 2x)

Expand

A = 520x - 2x^2

Differentiate

A' = 520 - 4x

Set to 0

520 - 4x = 0

Rewrite as:

4x= 520

Divide by 4

x= 130

Substitute x= 130 in y = 520 - 2x

y = 520 - 2 *130

Evaluate

y = 260

The area is then calculated as:

A = xy

This gives

A = 130 * 260

Evaluate

A = 33800

Hence, the shortest side is 130 feet, the longest side is 260 feet and the greatest possible area is 33800 square feet

Read more about area at:

brainly.com/question/24487155

#SPJ1

7 0

2 years ago

Find the acute angle between the two given lines<br><br> y=-2x and y=x

Marina CMI [18]

Answer:

θ ≈ 71.6°

Step-by-step explanation:

The angle between two lines with slopes m₁ and m₂ is:

tan θ = | (m₂ − m₁) / (1 + m₁m₂) |

Here, m₁ = -2 and m₂ = 1.

tan θ = | (1 − (-2)) / (1 + (-2)(1)) |

tan θ = | 3 / -1 |

tan θ = 3

θ ≈ 71.6°

3 0

4 years ago

What is 20×40+3×9÷3+4

-Dominant- [34]

<span><span /><span>The answer to that problem is 813. When you are given a problem like this, you can answer it by using the MDAS technique. MDAS stands for multiplication, division, addition, and subtraction. Since you are following the MDAS technique, you are asked to answer the equation based on MDAS order. To put this simply, look at the example below:

   20x40+3x9/3+4
     800+3x9/3+4
     800+27/3+4
   800+9+4
   809+4
     813</span></span>

You can clearly see the MDAS order by following the bold text.

5 0

3 years ago

Read 2 more answers