Answer:
Final answer is 
.
Step-by-step explanation:
Given expression is 
Now we need to find about what is product of both factors.
We see that both factors are in exponent form having equal base "x".
So we can apply formula: 
Hence final answer is .
Answer: e^y=x
ln(x)=y
e^ln(x)=e^y
x=e^y
Answer:
The first set of consecutive even integers equals (8 , 6)
The second set is ( - 8 and - 6) which also works.
Step-by-step explanation:
Equation
(x)^2 + (x + 2)^2 = (x)(x + 2) + 52 Remove the brackets on both sides
Solution
x^2 + x^2 + 4x + 4 = x^2 + 2x + 52 Collect the like terms on the left
2x^2+ 4x+ 4 = x^2 + 2x + 52 Subtract right side from left
2x^2 - x^2 + 4x - 2x + 4 - 52 = 0 Collect the like terms
x^2 + 2x - 48 = 0 Factor
(x + 8)(x - 6) = 0
Answer
Try the one you know works.
x - 6 = 0
x = 6
Therefore the two integers are 6 and 8
6^2 + 8^2 = 100
6*8 + 52 = 100
So 6 and 8 is one set of consecutive even numbers that works.
========================
What about the other set.
x + 8 = 0
x = - 8
x and x + 2
- 8 and -8 + 2 = - 8, - 6
(- 8 )^2 + (- 6)^2 = 100
(-8)(-6) + 52 = 100
Both sets of consecutive numbers work.
Magnetic power and then u can do like bold hehe
Answer:
ranges from 2890 miles to 5780 miles.
Step-by-step explanation:
Let us call the number of miles the car travels, and 
the number of gallons of gas that are used, then we have the relationship
<em>(this says the car travels 17 miles for each gallon of gas).</em>
Now, when 
, we have
and when 
, we have
So, when goes from 170 to 340, goes from 
to 
.
Therefore, when ranges from 170 to 340 gallons, the distance traveled ranges from 2890 to 5780 miles.
