Answer:1968ft^2
Step-by-step explanation:
Perimeter(p)=178feet
P=2L+2w
178=2L+2w
178=2(L+w)
L+w=178 ➗ 2
L+w=89.............(1)
W+7=L
L-w=7...................(11)
L+w=89... ..........(1)
L-w=7...................(11)
Subtract (11) from (1)
2w=89-7
2w=82
w=82 ➗ 2
w=41 width=41feet
Substitute w=41 in (11)
L-w=7
L-41=7
L=7+41
L=48feet
Area= length x width
Area=48 x 41
Area=1968ft^2
Answer:
![\sqrt[3]{4}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B4%7D)
Step-by-step explanation:
To solve this we need to take the square root of both sides with a certain degree.
We can take the root of both sides with a degree of 18.
![\sqrt[18]{4^6} = \sqrt[18]{a^{18}} \\(4^6)^{\frac{1}{18} } = a\\a = 4^{\frac{6}{18} } = 4^{\frac{1}{3} } = \sqrt[3]{4}](https://tex.z-dn.net/?f=%5Csqrt%5B18%5D%7B4%5E6%7D%20%3D%20%5Csqrt%5B18%5D%7Ba%5E%7B18%7D%7D%20%20%5C%5C%284%5E6%29%5E%7B%5Cfrac%7B1%7D%7B18%7D%20%7D%20%3D%20a%5C%5Ca%20%3D%204%5E%7B%5Cfrac%7B6%7D%7B18%7D%20%7D%20%3D%204%5E%7B%5Cfrac%7B1%7D%7B3%7D%20%7D%20%3D%20%5Csqrt%5B3%5D%7B4%7D)
It's helpful to understand that when a number has its square root taken with some degree n. The square root can be represented as just the value raised to the (1/n) power.
It's also helpful to understand that when you raise something to the power of another power, you can simply multiply the powers together. For instance (2^3)^5 = 2^15
Answer: Subtraction Property of Equality
<em>Step-by-step explanation:</em> The Subtraction Property of Equality tells us that
we can subtract the same quantity, or equal quantities,
from both sides of an equation.
To get from the statement 7x + 11 = 39 to 7x = 28,
we subtract 11 from both sides to get 7x = 28.
Slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.
The first step is to find the slope using the provided coordinates (-2, 6) and (2, 14). We can do that using the y1 - y2 / x1 - x2, like so:
6 - 14 / -2 - 2
-8 / -4
2
The slope is two, so we immediately know the answer is either A or B.
Now, plot the two points on graphing paper and determine where the line intersects the y-axis to find the y-intercept...
My graph shows the line intersecting the y-axis at 10, therefore the correct answer is:
y = 2x + 10
