Answer:
2³ = 8
Step-by-step explanation:
According to the laws of exponents, when raising a power to another power, you need to multiply the exponents. After you multiply each set of exponents by the additional power, then it become a multiplication problem where the base is the same. When multiplying exponents with the same base, you keep the base and add the exponents:
Answer: The answer is:
d=220, b=300
Step-by-step explanation:
You could solve this problem using a series of equations:
d+b=520
b-80=d
How I solve this is:
If d+b=520, you could divide 520 by 2 and say that d and b's average is 260 (though that is not their value).
Then , you know that the difference between them is 80. Since the average is 260, you could add half of 80 (which is 40) and subtract the same to get 220 and 300, which, as you can see, have a difference of 80 and add up to 520. Now you have to find out which is which.
Since 80 fewer tickets were purchased at the door than before the concert (d+80=b (the second equation)), you know that the number of tickets at the door is the lesser number, making the answer:
d=220, b=300
Answer:
The other length of the leg is <em>8 feet.</em>
Step-by-step explanation:
To find the answer we have to find what<em> 10</em> and <em>6 is squared.</em> <em>10 x 10 = 100</em>.
<em>6 x 6 = 36. </em>Now since we are trying to find the length of the other leg, we will <em>subtract 100 from 36</em> and we get <em>64</em>. Then for the last step, we will figure out what number<em> squared equals 64.</em> Because 8 x 8 = 64, <em>8 is our answer.</em>
23 is the constant rate of change..............
Answer:
The equation of the line is: 
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
In which m is the slope and b is the y-intercept.
Two points:
We have these following two points in this exercise:
x = -6, y = -3, so (-6,-3)
x = 4, y = 3, so (4,3)
Finding the slope:
Given two points, the slope is given by the change in y divided by the change in x.
Change in y: 3 - (-3) = 3 + 3 = 6
Change in x: 4 - (-6) = 4 + 6 = 10
So
Then
Finding b:
We replace one of the points in the equation to find b. I will use (4,3).
The equation of the line is:
