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Phantasy [73]
2 years ago
7

A system of equations is graphed on a

Mathematics
1 answer:
Ira Lisetskai [31]2 years ago
8 0

Answer:

(1, 4)  

Step-by-step explanation:

\text{It looks as if "they" are asking you to solve the problem graphically.}\\\text{Then, you must solve each equation for y, plot a few points for each graph,}\\ \text{and see where each graph intersects. }

\begin{array}{rcl}(1) & 2x + 3y = 12 & \\& 3y = 12 - 2x& \text{Subtracted 2x from each side}\\ & y = 4 - \dfrac{2}{3}x & \text{Divided each side by3}\\\\(2) & 4x + 2y =10& \\& 2y = 10 - 4x& \text{Subtracted 2x from each side}\\ & y = 5 - 2x & \text{Divided each side by 2}\\\end{array}\\

Below are a few points for Equations (1) and (2).}

\begin{array}{cc|cc}\mathbf{x} & \mathbf{y} & \mathbf{x} & \mathbf{y}\\0 & 4 & 0 & 5\\& & 1 & 3\\& & 2 & 1\\3 & 2 & &\\6 & 0 & &\\\end{array}\\

Equation (1) is the blue line in the graph below.

Equation (2) is the red line.

The two lines cross at the black dot

Your four points are labelled . The one that is closest to the intersection is (1, 4).

The approximate solution to the system of equations is (1, 4).

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Whats 46.288 rounded to the nearest tenth
lesya692 [45]

Answer:

46.3

Step-by-step explanation:

Find the number in the tenth place (2) and look one place to the right for the rounding digit (8) Round up if this number is greater than or equal to 5 and round down if it is less than 5

4 0
3 years ago
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zhannawk [14.2K]
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3 0
3 years ago
84/12 = 28/x 1. x=4 2. X=28
yan [13]

Answer:

x = 4

Step-by-step explanation:

We can use cross products to solve

84/12 = 28/x

84 * x = 12 *28

Divide each side by 84

84x/84 = 12*28/84

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5 0
3 years ago
An airplane travels 6903 kilometers against the wind in 9 hours and 8613 kilometers with the wind in the same amount of time. Wh
Rzqust [24]

Answer:

The rate of the plane is 862 miles per hour

Step-by-step explanation:

An airplane travels 6903 kilometers against the wind in 9 hours.

Speed = distance / time

Speed of the airplane while travelling against the wind is

6903/9 = 767 miles per hour

The airplane travelled 8613 kilometers with the wind in the same amount of time. This means that the speed while travelling with the wind will be

8613/9 = 957 miles per hour

Let x = speed of the airplane

Let y = speed of the wind

While travelling against the wind,

x - y = 767 - - - - - -- 1

While travelling with the wind,

x + y = 957 - - - - - - -2

Subtracting equation 2 from equation 1,

-y - y = 767 - 957

-2y = -190

y = -190/-2

y = 95 miles per hour

x = 957 - y

x = 957 - 95

x = 862 miles per hour

4 0
3 years ago
50 POINTS!!
Andre45 [30]

Answer:Triangle A: 38 degrees

Triangle B: Unknown (not enough information)

Triangle C: Unknown (not enough information)

Triangle D: 70 degrees

Triangle E: 40 degrees

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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