The x-intercept is -2, since the line intersects with the x-axis at (-2, 0).
The y-intercept is 1, since the line intersects with the x-axis at (0, 1).
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Answer:
4 kg
Step-by-step explanation:
Answer:
Step-by-step explanation:
Integer factors of 117 include ...
... 117 = 1×117 = 3×39 ≈ 9×13
The last factor pair is two factors that differ by 4. We can take these to be the dimensions of the rectangle.
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If you want to write an equation for width (w), it might be ...
... w(w+4) = 117
... w² +4w -117 = 0
The factorization problem for this quadratic is the problem of finding two factors of 117 that differ by 4. That is what we have done, above.
If you want to solve this by completing the square, you can to this:
... w² +4w = 117
... w² +4w +4 = 121 . . . . . add 4 = (4/2)² to complete the square
... (w+2)² = 121
... w + 2 = ±√121 = ±11 . . . . take the square root
... w = -2 ± 11 . . . . . we're only interested in the positive solution
... w = 9, then w+4 = 13 and the dimensions are 9 cm by 13 cm.
So you need to isolate the variable in order to get your answer. This is how you do it.
3x + 5 = 2x - 7
Subtract 2x from both sides.
1x + 5 = -7
Subtract 5 from both sides to have the variable by itself.
1x = -12
Divide 1 to both sides to find the value of x.
x = -12
Now we need to check.
3(-12) + 5 = 2(-12) - 7
-36 + 5 = -24 - 7
-31 = -31
Since both sides or the same you now know that -12 is the solution.
I hope this helps love! :)
Answer:
X=5 Y=-4
Step-by-step explanation:
