Answer:
-5/ (x^19 * y^12)
Step-by-step explanation:
-15x^-10 * y ^ -3 * x^-9 * y^-9/3 (It's writing it like this.)
15 and 3 have a GCF of 3.
-5x^-10 * y^-3 * x^-9 * y^-9/1
Reduce similar occurrences. *twice in a row*
-5x^(-10 + (-9)) * y^(-3 + (-9))/1
Remove extra signs *twice in a row*
-5x^(-10 - 9) * y^(-3 - 9)/1
Remove extraneous 1.
-5x^(-10 - 9) * y^(-3 - 9)
Add integers.
-5x^-19 * y^-12
Negative powers change multiplication to division.
-5 / (x^19 * y^12) is the final answer.
Even with that, the simplified answer wouldn't have negative exponents because of the negative powers rule.
The method of successive differences uses subtraction to the one number to the next and the process goes on until the difference settles constant which is not equal to zero. In this case, the constant difference reaches 25. Reversing the process to get the next term, the answer is 2509.
75x + 90(15-x)=88(15)
75x+1350-90x = 1320
-15x + 1350 = 1320
-15x= -30
x=2
the amount of 75 octane is 2 gallons
the amount of 90 octane is 13 gallons
Hope this helps.
Explanation:
1. CS ≅ HR, ∠CHS ≅ ∠HCR, ∠CSH ≅ ∠HRC — given
2. ∆CRH ~ ∆HSC — AA similarity theorem
3. ∠SCH ≅ ∠RHC — corresponding angles of similar triangles are congruent
4. CH ≅ HC — reflexive property of congruence
5. ∆CRH ≅ ∆HSC — SAS congruence theorem
6. CR ≅ HS — CPCTC
