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Tcecarenko [31]
3 years ago
11

Which of the following equations is in standard form? A. y=1/2x b. y=1/2x-3 c. 4y-1=1/2 x-3 d. 2x+3y=14

Mathematics
2 answers:
aliya0001 [1]3 years ago
6 0
Your answer would be B.) 1/2x - 3

The standard form for an equation is y = mx + b. M is being replaced by 1/2 (the rate) and B is being replaced by -3 (the y-intercept).

Hope this helps!
Natali5045456 [20]3 years ago
3 0
D.   You need Ax+By=C where all of A,B,C are integers
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Jason states that Triangle A B C is congruent to triangle R S T. Kelley states that Triangle A B C is congruent to triangle T S
Brilliant_brown [7]

Answer:

The correct option is;

Jason's statement is correct. RST is the same orientation, shape, and size as ABC

Step-by-step explanation:

Here we have

ABC = (2, 1), (3, 3), (4, 1)

RST = (-4, -2), (-3, 0), (-2, -2)

Therefore the length of the sides are as follows

AB = \sqrt{(2-3)^2+(1-3)^2} = \sqrt{5}

AC = \sqrt{(2-4)^2+(1-1)^2} =2

BC = \sqrt{(3-4)^2+(3-1)^2} = \sqrt{5}

For triangle SRT we have

RS = \sqrt{(-4-(-3))^2+(-2-0)^2} = \sqrt{5}

RT = \sqrt{(-4-(-2))^2+(-2-(-2))^2} = 2

ST = \sqrt{(-3-(-2))^2+(0-(-2))^2} = \sqrt{5}

Therefore their dimensions are equal

However the side with length 2  occurs between (2, 1) and (4, 1) in triangle ABC and between (-4, -2) and (-2, -2) in triangle RST

That is Jason's statement is correct. RST is the same orientation, shape, and size as ABC.

4 0
3 years ago
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Alana and two of her friends evenly split the cost of a meal. each person owes $14.68.
True [87]

Answer:

$44.04

Step-by-step explanation:

14.68 * 3 = 44.04

8 0
3 years ago
Will mark brainliest, answer quick pls !!
Natasha_Volkova [10]

Answer:

X^2 + 10 + 24

Step-by-step explanation:

8 0
2 years ago
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(Set up and solve the system, then answer the associated question)
Dimas [21]

9514 1404 393

Answer:

  • red division: 6 teams
  • blue division: 5 teams

Step-by-step explanation:

We can let r and b represent the numbers of teams in the red and blue divisions, respectively. The total number of goals scored in each division will be the average for that division times the number of teams in that division.

  r - b = 1 . . . . . . there is 1 more red team than blue

  4.5r +4.2b = 48 . . . . . . total goals scored per week

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Solving by substitution, we have ...

  r = b +1

  4.5(b +1) +4.2b = 48 . . . . substitute for r

  8.7b +4.5 = 48 . . . . . . . . simplify

  8.7b = 43.5 . . . . . . . . . . subtract 4.5

  b = 43.5/8.7 = 5 . . . . . divide by 8.7

  r = b +1 = 6 . . . . . . . . . find r

There are 6 red teams and 5 blue teams.

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<em>Additional comment</em>

The basic idea is that you make an equation for each relation given in the problem statement. For a problem like this, you do need to have an understanding of how the average number of goals would be calculated and how that relates to the total goals.

8 0
2 years ago
A square sheet of art paper has an area of 625 square inches. What is the minimum side length of an easel that supports the whol
Mila [183]
If the area of the paper is 625 sq in, the length of one side of this square is sqrt(625 sq in), or 25 inches.  That's the min. side length of an easel that is to support the whole sheet of paper along its lowest side.
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