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Free_Kalibri [48]
3 years ago
13

Solve the system y = 2x + 6 and 3y = 6x + 18 by using graph paper or graphing technology. What is the solution to the system?

Mathematics
2 answers:
katen-ka-za [31]3 years ago
6 0

Answer:

Step-by-step explanation:

sveta [45]3 years ago
6 0

Answer:

Infinite solutions

Step-by-step explanation:

We can see that when we multiply both sides of the first equation of the system by 3, it becomes exactly the same as the second one. When that happens, it means that there are infinite solutions to this system.

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This figure is made up of a rectangle and parallelogram.
ivann1987 [24]

The area of the figure is 40 units. (rounded off from 39.998 units)

Step-by-step explanation:

1. Area of the figure = Area of Rectangle + Area of Parallelogram.

2. Naming points:

Let the rectangle consist of points A(-6,-1), B(-5,-5), C(3,-3) and D(2,1).

Let the parallelogram consist of points C(3,-3), D(2,1), E(2,7) and F(3,3).

3. Each coordinate has a point on the x-axis and a point on the y-axis. We shall refer to these points as x', x'' ,x''' and so on corresponding to the x-axis values of A, B, C and so on in that order till F. For the y-axis points, we will name them in the series of y', y'', y''' and so on.

In simple words, in A(-6,1), x' = -6; y' = -1

4. Formula for finding area:

Area of a rectangle = length (l) × width (w)

Area of a parallelogram = base (b) x height (h)

5. Finding area of the rectangle:

l = AD = \sqrt{[x'''' - x']^{2} - [y'''' - y']^{2}}

, i.e. AD = \sqrt{[2 - (-6)]^{2} - [1 - (-1)]^{2}}

, i.e. AD = √68 = 8.246 (rounded to 3 decimals) = l

Now, w = AB = \sqrt{[x'' - x']^{2} - [y'' - y']^{2}}

, i.e. AB = \sqrt{[(-5) - (-6)]^{2} - [(-5) - (-1)]^{2}}

, i.e. AB = √17 = 4.123 (rounded to 3 decimals) = w

Area of rectangle = l x w = 8.246 x 4.123 = 33.998 units.

6. Finding area of the parallelogram:

b = DE = 6 units (we can observe this from the graph, i.e. points from 1 to 7 on the y axis)

h = Height is the line drawn perpendicular to the base from point F, which as we can see is 1 unit long.

Hence, Area of parallelogram = b x h = 6 x 1 = 6 units.

7. Now, adding both, we can arrive at the final answer.

Area of the figure = Area of rectangle + Area of parallelogram,

i.e. 33.998 units + 6 units = 39.998 units. (can be rounded off to 40 units)

4 0
3 years ago
please give solutions kindly write and send pic in my whatsap no.( eight zero one seven zero zero zero nine five zero)​
zloy xaker [14]

Answer:

You simply take the values away from 180°.

a) 180-85-65 = 30°

b) 180-37-63=80°

c) 180-52-78=50°

d) 180-102-58=20°

e) 180-100-60=20°

f) 180-105-25=50°

g) 180-127-23=30°

6 0
2 years ago
May someone please help me?
Vesna [10]

Answer:

The 3rd table

Step-by-step explanation:

The x values are dividing by 5 to  get the y values. The table is proportional because it's a pattern not just random values.

5 0
2 years ago
Is 1/2*4/5 less than 4/5
kati45 [8]
No hope this helps bc it’s being multiplied and even then u simplify
4 0
3 years ago
Solve the equation for the indicated variable (for c)<br><img src="https://tex.z-dn.net/?f=15%20%3D%20%20-%203%282c%20%2B%20d%29
11Alexandr11 [23.1K]

Answer:

c= -2.5-0.5d

Step-by-step explanation:

15=-3(2c+d)

15=-6c+-3d

15+3d=-6c

-2.5-0.5d=c

5 0
3 years ago
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