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Sergeu [11.5K]
4 years ago
15

Describe the similarities and differences in the solution of 2x -7 =15 and 2x - 7 < 15

Mathematics
1 answer:
KonstantinChe [14]4 years ago
5 0
<span>Both solutions will have values that exist at the "11" value. However, the major difference is due to one being an equation and the other an inequality. The first equation only has one solution. The inequality has infinitely many solutions, and they are all the values that are less than 11 (x<11).</span>
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Answer:

y =  -  \frac{1}{3} x + 4

Step-by-step explanation:

The equation of a line is usually written in the form of y=mx+c, where m is the gradient and c is the y-intercept.

The product of the gradients of perpendicular lines is -1.

Gradient of given line= 3.

(Gradient of line)(3)= -1

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subst. m= -  \frac{1}{3} into the equation:

y =  -  \frac{1}{3} x + c

To find the value of c, substitute a coordinate.

When x=0, y=4,

4 =  -  \frac{1}{ 3} (0) + c \\ 4 = c \\ c = 4

Thus the equation of the line is y =  -\frac{1}{3} x + 4.

3 0
3 years ago
the length of a rectangle is 2 inches less than 3 times it width . The perimeter of the rectangle is 124 inch. WHat is the lengt
vitfil [10]

Step-by-step explanation:

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Step-by-step explanation:

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