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liraira [26]
4 years ago
12

Graph the system of equations {3x+y=6 -3x-4y=12

Mathematics
1 answer:
Scorpion4ik [409]4 years ago
7 0
Use desmos it's a great app.
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A rectangle patio has a perimeter of 38 feet. If the length of the patio is 5 feet less than twice the width, find the dimension
gayaneshka [121]

Answer:

The length is 11ft.

The width is 8ft.

Step-by-step explanation:

Hello!

Perimeter of a rectangle: P = 2(l + w)

  • P = perimeter
  • l = length
  • w = width

We know that the length is 5 ft less than twice the width, which can be expressed by the equation: l = 2w - 5. We can plug in 38 for "P".

We can substitute the equation for l, and solve for the width.

<h3>Solve for W</h3>
  • P = 2(l + w)
  • 38 = 2((2w - 5) + w)
  • 38 = 2(3w - 5)
  • 38 = 6w - 10
  • 48 = 6w
  • 8 = w

The width is 8. We can solve for the length by plugging it back into the equation l = 2w - 5

<h3>Solve for L</h3>
  • l = 2w - 5
  • l = 2(8) - 5
  • l = 16 - 5
  • l = 11

The length is 11.

The dimensions are 11 ft and 8 ft.

4 0
2 years ago
5n + 3 = 2(n + 2) + 3n <br> N= ???<br> -Show All Work!-
Gelneren [198K]
Simplifying
5n + 3 = 2(n + 2) + 3n

Reorder the terms:
3 + 5n = 2(n + 2) + 3n

Reorder the terms:
3 + 5n = 2(2 + n) + 3n
3 + 5n = (2 * 2 + n * 2) + 3n
3 + 5n = (4 + 2n) + 3n

Combine like terms: 2n + 3n = 5n
3 + 5n = 4 + 5n

Add '-5n' to each side of the equation.
3 + 5n + -5n = 4 + 5n + -5n

Combine like terms: 5n + -5n = 0
3 + 0 = 4 + 5n + -5n
3 = 4 + 5n + -5n

Combine like terms: 5n + -5n = 0
3 = 4 + 0
3 = 4

Solving
3 = 4
The left and right sides are not equal, therefore there is no solution.
6 0
4 years ago
Please help:) please help:)​
lukranit [14]

Answer:ndjsoalwjjdlq bc hxlansbdlmdnwb

Step-by-step explanation:

5 0
3 years ago
Find the 77th term of the arithmetic sequence 8, 26, 44, ...​
Sindrei [870]

Answer: 1,376

Step-by-step explanation: All we need to do is take our explicit formula and plug in the information we need to know for the problem.

Explicit formula - a_{n} = a_{1} + (n - 1) d

We are trying to find the 77th term of this sequence so we first have a_{77}.

We know a_{1} is 8 because that's the first term in our arithmetic sequence.

The variable <em>n</em> represents the number of terms we're trying to solve for which is 77. So that will be 77 - 1 and then we are going to multiply that by our common difference which is 18.

So plugging into the formula, we have a_{77} = 8 + (77 - 1)18

So now we can go ahead and simplify this

information and see what we get.

So simplifying inside parentheses first, we get 76 and we multiply that by 18 to get 1,368.

So therefore we have a_{77} = 8 + 1,368 which is 1,376.

3 0
4 years ago
Im unsure how to do this
kkurt [141]
Try combining the numbers with like terms, like 5x^2 and -11x^2. Then I will help you out.
4 0
3 years ago
Read 2 more answers
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