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4vir4ik [10]
3 years ago
14

What is the slope of the line?​

Mathematics
2 answers:
solmaris [256]3 years ago
8 0

Answer:

slope = - \frac{3}{2}

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (2, - 1) ← 2 points on the line

m = \frac{-1-2}{2-0} = - \frac{3}{3}

avanturin [10]3 years ago
4 0
The points (4,-4) and (0,2) are the points that touch the top of the squares.

2-(-4) = 6
______ _ = 2
4-0 = 4

The slope is 2.

And 0,2 is the b (y-intercept)

The equation is: y=2x+2
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Can a triangle be formed with side lengths 15, 7, and 6? Explain.
Blizzard [7]

Answer:

<h3>No.</h3>

Step-by-step explanation:

The sides would be unbalanced. To get the sides of a triangle, you have to add up the first two sides. The two sides combined usually have to be less than or equal to 15 to be considered "balanced". 22 is greater than 15, so that would leave you with an unbalanced triangle, sometimes considered degenerate. A degenerate triangle is a flat triangle that almost looks like a line. The triangle's vertices all lie on the same line, which makes it look very flat. That's why degenerate triangles are rarely considered "balanced" in regards to unit measures. So, given this is an unbalanced triangle, the answer to your question would be no.

Hope this helps!

6 0
1 year ago
Which rules would result in a triangle A being congruent to or not congruent to B?
Ipatiy [6.2K]
Well the only thing that would make these triangles not congruent is dilation, Thus, translation, reflection, and rotations all make the triangles congruent.

The bottom one and third one are not congruent while everything else is.
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3 0
3 years ago
A yoga membership costs $16 and an additional $7 per class. write a linear equation modeling the cost of a yoga membership.
MrRissso [65]
Y=16x+7
the x represents the number of memberships the 16 represents the cost of a membership and the 7 represents the additional cost.
8 0
3 years ago
Read 2 more answers
Solve the system of equations.
Xelga [282]

Answer:

  b.  x=1, y=2, z=3

Step-by-step explanation:

The system of equations ...

  • 3x +2y +z = 10
  • 9x -6y +z = 0
  • x -y -3z = -10

has solution (x, y, z) = (1, 2, 3) . . . . matches choice B.

_____

While it is convenient to solve this using a graphing calculator or web site, one can easily solve the system by hand.

Subtract the second equation from 3 times the first:

  3(3x +2y +z) -(9x -6y +z) = 3(10) -(0)

  12y + 2z = 30 . . . . simplify

Dividing this result by 2 gives ...

  6y +z = 15 . . . . . . [eq4]

Subtract 3 times the third equation from the first:

  (3x +2y +z) -3(x -y -3z) = (10) -3(-10)

  5y +10z = 40 . . . . simplify

  y + 2z = 8 . . . . . . . divide by 5 . . . . . [eq5]

The two equations [eq4] and [eq5] can be solved any of the ways you usually solve two equations in two variables. Here, we'll use the first equation to write an expression for z that we can substitute into the second equation.

  z = 15 -6y . . . . . subtract 6y from [eq4]

  y + 2(15 -6y) = 8 . . . . . substitute for z in [eq5]

  -11y +30 = 8 . . . . . simplify

  -11y = -22 . . . . . . . subtract 30

  y = 2 . . . . . . . . . . . divide by the coefficient of y

  z = 15 -6(2) = 3 . . . . substitute for y in our equation for z

Substituting these values for y and z into the third original equation gives ...

  x - 2 -3(3) = -10

  x -11 = -10 . . . . . . . . simplify

  x = 1 . . . . . . . . . . . . add 11

The solution to the above system of equations is (x, y, z) = (1, 2, 3).

_____

<em>Comment on the problem statement</em>

Math is generally unforgiving of imprecision. The given system of equations has no variable "z", and some other typos are apparently involved. That is why we rewrote the system to the equations shown above.

It is very easy to mistake z for 2, or g for 9, or o for 0, or 1 for 7. There are other confusions that are possible, as well. Letters I (eye) and l (ell) are easily confused, and may be confused with 1 (one) as well. Sometimes y and 4, or 4 and 9, can also be written so as to be difficult to tell apart. Great care must be taken when handwriting these symbols.

7 0
3 years ago
What are the two ratios that are equivalent to 2:9
weeeeeb [17]

Answer:

bc

Step-by-step explanation:

2:9 is equivalent to

18: 81 because is 2*9 : 9*9

12:54 because is 2*6 : 9* 6

8 0
3 years ago
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