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joja [24]
3 years ago
5

23. Daniel bought a gallons of paint at the store for a project. At the end of his project,

Mathematics
1 answer:
Anna [14]3 years ago
4 0

Answer:

Based on your responses and my understanding from what you have said the answer is B.

Step-by-step explanation:

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The three lines given below form a triangle. Find the coordinates of the vertices of the triangle.
LenKa [72]

Answer:

  • (3, 5), (1, 2) and (5, 1)

Step-by-step explanation:

Make three systems with pairs of lines and solve them to work out the vertices.

1) <u>Line 1 and line 2</u>

  • -3x + 2y = 1
  • 2x + y = 11

<u>Double the second equation and subtract equations:</u>

  • -3x + 2y - 2(2x + y) = 1 - 2(11)
  • -3x - 4x = 1 - 22
  • -7x = - 21
  • x = 3

<u>Find y:</u>

  • 2*3 + y = 11
  • 6 + y = 11
  • y = 11 - 6
  • y = 5

The point is (3, 5)

2) <u>Line 1 and line 3</u>

  • -3x + 2y = 1
  • x + 4y = 9

<u>Triple the second equation and add up equations:</u>

  • -3x + 2y + 3(x + 4y) = 1 + 3(9)
  • 2y + 12y = 1 + 27
  • 14y = 28
  • y = 2

<u>Find x:</u>

  • x + 4*2 = 9
  • x + 8 = 9
  • x = 1

The point is (1, 2)

3) <u>Line 2 and line 3</u>

  • 2x + y = 11
  • x + 4y = 9

<u>Double the second equation and subtract the equations:</u>

  • 2x + y - 2(x + 4y) = 11 - 2(9)
  • y - 8y = 11 - 18
  • - 7y = - 7
  • y = 1

<u>Find x:</u>

  • x + 4*1 = 9
  • x + 4 = 9
  • x = 5

The point is (5, 1)

8 0
2 years ago
The side lengths of a triangle are 5,3,and 4. Is this a right triangle
Serggg [28]

Answer:

Yes

Step-by-step explanation:

3, 4, 5 is a pythagorean triplet, meaning they satisfy the Pythagorean theorem.

7 0
3 years ago
X is less than 1/4 of two dozen
vfiekz [6]

Answer: 7

Step-by-step explanation:

4 0
3 years ago
What is the equation for a 75 90 15 triangle​
vladimir1956 [14]

Answer:

30,60,90  triangle, which is the lengths  1      √ 3 , and  2   respectively. This is what I have got so far: Using the 30-60-90 Ratio

Step-by-step explanation:

4 0
3 years ago
Emma needs to divide 7 by 1/2. Which strategy can Emma use to get the answer?
Juliette [100K]

Answer:

14

Step-by-step explanation:

Convert the fraction into a decimal

1/2 = 0.5

Divide

7/0.5 = 14

7 0
3 years ago
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