X = 5. Since the shape is a rectangle. you know those opposite sides will be equal in length. So you have to set the two terms equal to each other and then solve for x.
I have attached a picture of the work.
I hope this helps. (:
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Answer:
x = 4.25
Step-by-step explanation:
1. distribue the -5 on the left side of the equal sign by multiplying it with 2x and -9 inside the brackets. Do the same with the negative sign and the -6x and 10 in the brackets on the right side of the equation. this should make:
17 - 10x + 45 = 6x - 10 + 4
2. Combine like terms on both sides of the equal sign. Add 17 and 45, and add -10 and 4 to make:
62 - 10x = 6x - 6
3. Bring like terms onto the same side. You can either bring the 62 to -6, which would make 62 negative, or bring -6 to 62, making the 6 positive. Do the same with -10x and 6x. It should make:
68 = 16x OR -68 = -16x
4. Divide both sides by 16 or -16, depending on which option you went with.
68/16 = 16x/16 OR -68/-16 = -16x/-16
This gives:
4.25 = x
Answer:
see below
Step-by-step explanation:
If (x+5) is a factor of p(x), then the value x=-5 will make that factor be zero. The product p(x) of which it is a part will also be zero, so p(-5) = 0.
Since p(-5) = 0 at x=-5, there will be an x-intercept at x=-5.
Dividing something by a factor of that thing will always give a remainder of zero. So, p(x)/(x+5) has a remainder of 0.
