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zhuklara [117]
3 years ago
13

Solve this system of equations by graphing. First graph the equations, and then type the solution.

Mathematics
1 answer:
Yakvenalex [24]3 years ago
8 0

Answer:

The answer is below

Step-by-step explanation:

Solve this system of equations by graphing. First graph the equations, and then type the solution. y=2x+2 y=x–2

Solution:

The equation of a straight line is in the form y = mx + b, where m is the slope of the graph and b is the y intercept (value of y when x = 0). To graph the line, online geogebra graphing calculator was used for plotting the two graphs by writing the equation of the graphs.

After plotting the two graphs, the intersection of the two lines should be traced to get the x coordinate and y coordinate of the point. This point is the solution of the two graph equations, hence:

The solution = (-4, -6)

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The edge length of a cube is 17 cm. Identify the length of its diagonal. Round to the nearest tenth, if necessary. HELP PLEASE!!
lara31 [8.8K]

Answer:

29.4 cm

Step-by-step explanation:

The length of the space diagonal can be found to be the root of the squares of the three orthogonal edge lengths. For a cube, those edge lengths are all the same, so the diagonal length is ...

d = √(17^2 + 17^2 +17^2) = 17√3 ≈ 29.4 . . . . cm

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Consider a rectangular prism with edge lengths a, b, c. Then the face diagonal of the face perpendicular to edge "a" has length ...

(face diagonal)^2 = (b^2 +c^2)

and the space diagonal has length ...

(space diagonal)^2 = a^2 + (face diagonal)^2 = a^2 +b^2 +c^2

So, the length of the space diagonal is ...

space diagonal = √(a^2 +b^2 +c^2)

when the prism is a cube, these are all the same (a=b=c). This is the formula we used above.

3 0
3 years ago
Which expression is equivalent to 4k+2k?
Natalija [7]

Answer:

it equals 6k but an equivalent expression could be 2k + 4k

Step-by-step explanation:

2k + 4k = 4k + 2k

3 0
3 years ago
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Answer:

Step-by-step explanation:

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PLEASE HELP IM TIMED
seropon [69]

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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