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serious [3.7K]
2 years ago
13

Algebra- pls help ;-; will mark brainliest

Mathematics
2 answers:
Pavlova-9 [17]2 years ago
7 0

Answer:

The solution is correct.

Sergio [31]2 years ago
6 0

Answer:

r = 9 is the correct solution..

the error was in the 2nd line where it should be -10+2r=8 instead of -10-2r=8

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vodka [1.7K]

Answer:

28 ft

Step-by-step explanation:

4 0
2 years ago
How to find S12 of the following series
11111nata11111 [884]
I think it's a3D unless u tell me what u mean by finding S12
4 0
2 years ago
A china shop receives a shipment of 125 dishes in 5 boxes. At this rate how many dishes will it receive in 15 boxes
Otrada [13]
375 dishes good luck!!
7 0
3 years ago
Read 2 more answers
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
2 years ago
For each scenario below, choose the graph that gives the best representation.
kvv77 [185]

The graph that gives the best representation of the scenario is: option 1 (A).

<h3>Graph of Distance vs Time</h3>
  • A typical graph of distance vs time shows the distance covered as against time.
  • If the graph shows a line that slopes upwards, it implies movement from a spot, if it shows an horizontal line, it implies a rest.

The first graph is the correct one that best represents the scenario because it starts at the point of origin (0, 0), which means the bird covers not distance at zero time when it is still at its nest.

As the bird flies, distance increases with time till it stopped at a point to eat.. This is represented by horizontal line, meaning time increased but distance from the nest remains the same.

The upward slope from the spot represents the further distance the bird is flying in search for more food.

Therefore, the graph that gives the best representation of the scenario is: option 1 (A).

Learn more about distance vs time graph on:

brainly.com/question/18655388

8 0
2 years ago
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