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Svetach [21]
3 years ago
7

Name the property demonstrated by the following equation: (5 + 4) + 6 = 5 + (4 + 6).

Mathematics
2 answers:
ratelena [41]3 years ago
8 0
The answer for that is D
gizmo_the_mogwai [7]3 years ago
5 0
The associative property states that you can add or multiply and get the same answer, despite how the numbers are grouped (or where you place the parenthesis).

So, I would go with A. Associative Property of Addition. B makes no sense since there is no multiplication used here. 

I hope this is helpful! :D
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HELP PLEASE !!!!!!!!!!!!!!!
nadya68 [22]

Answer:

x=30

Step-by-step explanation:

if 30 x 4 = 120 amd 2 = 30 = 60 then 60+120=180

6 0
3 years ago
PLEASE HELP I WILL GIVE A LOT OF POINTS!
vazorg [7]

9514 1404 393

Answer:

  (2.27, 0.96)

Step-by-step explanation:

The orthocenter is the point of intersection of altitudes of the triangle. The equation for an altitude is the equation of a line through a vertex that is perpendicular to the opposite side.

For example, the line perpendicular to side AC can be found as ...

  (∆x, ∆y) = C-A = (3, -1) -(-4, 2) = (7, -3)

  ∆x(x -h) +∆y(y -k) = 0 . . . . perpendicular through point (h, k)

For side AC, we want the point to be B(4, 5), so the equation is ...

  7(x -4) -3(y -5) = 0

  7x -3y -13 = 0

Similarly, the altitude to side AB can be written as ...

  (∆x, ∆y) = B -A = (4, 5) -(-4, 2) = (8, 3)

  8(x -3) +3(y +1) = 0

  8x +3y -21 = 0

__

By the "cross multiplication method", the solution to these equations is ...

  x = (-3(-21) -(3(-13))/(7(3) -8(-3)) = (63+39)/(21+24) = 102/45 = 2 4/15 ≈ 2.27

  y = (-13(8) -(-21)(7))/45 = 43/45 ≈ 0.96

The orthocenter is near (2.27, 0.96).

__

A graphing application confirms this result.

_____

<em>Additional information about the cross multiplication method</em>

For the general form equations ...

  • ax +by +c = 0
  • dx +ey +g = 0

The "cross multiplication method" has you write the array ...

  \begin{array}{cccc}a&b&c&a\\d&e&g&d\end{array}

and form the "cross products" in groups of four coefficients:

  D = ae -db, X = bg -ec, Y = cd -ga

Then the solution to the set of equations is ...

  1/D = x/X = y/Y   ⇒   x = X/D, y = Y/D

__

<em>Additional note</em>

Videos of this method show you writing the array as bcab/egde and using the final equation x/X=y/Y=1/D. The above gets the same result in a more straightforward manner.

3 0
3 years ago
A fence completely surrounds a pool,that is 30 feet by 10 feet.what is the approximate length,in feet,of the fence
tamaranim1 [39]
Because the fence's dimensions is 30 feet by 10 feet, you can assume that one side of the pool is 30 feet while the other, non-congruent side, is 10 feet. The formula for perimeter, which you are trying to find,  is 2L+2W=P. In this problem, 30 will be your L and 10 will be your W. Therefore, 2(30) +2(10)=80.

So 80 feet will be your answer.
4 0
3 years ago
Which of the following are solutions for x<br> in the equation ax2 = bx?<br> Select all that apply.
Brums [2.3K]
I uploaded it here as the answers Bc




Slkwowkneojw
5 0
3 years ago
Number 7, please help me
MariettaO [177]

Answer:

oh dang.. imma head out, no big brain time for me..

Step-by-step explanation:

4 0
3 years ago
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