➨ Let (x+2) = a ➩ 
Then we factor a-term out of the expression ➩ Common Factor ➩ 
Then convert from a back to x+2
Thus, our answer would be ➩ 
Scale factor is always (new/original)
so it depends which rectangle came first. if it started as large and was dilated to the smaller one, then the ratio is (.5/2.5) which simplifies to 1/5 or 0.2.
Answer:
x=−1
Step-by-step explanation:
Let's solve your equation step-by-step.
−5x−16+3x=−23−9x
Step 1: Simplify both sides of the equation.
−5x−16+3x=−23−9x
−5x+−16+3x=−23+−9x
(−5x+3x)+(−16)=−9x−23(Combine Like Terms)
−2x+−16=−9x−23
−2x−16=−9x−23
Step 2: Add 9x to both sides.
−2x−16+9x=−9x−23+9x
7x−16=−23
Step 3: Add 16 to both sides.
7x−16+16=−23+16
7x=−7
Step 4: Divide both sides by 7.
7x
7
=
−7
7
x=−1
Answer:
x=−1
D = {0,1,-1,2,-2,3,-3,4,-4,...}
<span>E = {1,2,4,9,16,25,36,49,64,81} </span>
<span>F = {12,14,16,18} </span>
<span>Finding an intersection of sets means listing the elements that are in both sets. </span>
<span>Finding a union of sets means listing all elements that are in either set. </span>
<span>With that in mind, </span>
<span>1. D intersect E = E because every element of E is a whole number, so it is in D also. </span>
<span>2. D intersect F = F because every element of F is a whole number, so it is in D also. </span>
<span>3. D intersect (E intersect F) First we find E intersect F = {16} because only 16 appears in E and F. Then, since 16 is also in D, D intersect (E intersect F) = {16} </span>
<span>4. We've already established that D contains everything in E and F. So when we take a union of (E intersect F) with D, we get all of D. </span>
<span>5. E union F = {1,4,9,12,14,16,18,25,36,49,64,81} because these are all the elements that are in either E or F. Intersecting with D doesn't change this list, since all are whole numbers.</span>
