Consider the inequality -5(x+7) < -10. write an inequality representing the solution for x
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The equation of a elipse:
The length of the major axis is equal 2a if a > b or 2b if b > a.
We have
therefore the length of the major axis is equal 2 · 7 = 14.
For the sake of showing work I will replace the empty space with an x like so...
To find out what x is you must cross multiply (aka butterfly)
***Image of this step is attached below
9*x = 10*90
9x = 900
Next divide 9 to both sides to finish isolating x. Since 9 is being multiplied by x, division (the opposite of multiplication) will cancel 9 out (in this case it will make 9 one) from the left side and bring it over to the right side.
9x ÷ 9 = 900 ÷ 9
1x = 100
x = 100
To make these fractions equivalent the empty spot must be 100
Hope this helped!
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