Answer:
5 feet & 15 feet
Step-by-step explanation:
<em>The question is to find the lengths of 2 sides of the rectangle</em>.
<u>Solution:</u>
Let shorter side be "x"
Let longer side be "y"
From the question, we can write:
y = 3x
also
y - x = 10
Now, putting the first on second equation, we get:
y - x = 10
3x - x = 10
2x = 10
x = 10/2 = 5
Now, y = 3x, y = 3(5) = 15
So we can say the lengths of 2 sides of the rectangle is 5 feet & 15 feet
order of operations
BEMDAS:
B - <em>Brackets</em>
E - <em>Exponents</em>
D - <em>Division</em>
M - <em>Multiplication</em>
A - <em>Addition</em>
S - <em>Subtraction</em>
73 • 7 - 5 = 511 - 5 = 506
Part A: the data represent a function because for each value of x, there is a unique value of y.
Part B: from the table, when x = 7, y = 8. from the function f(x) = 2x + 13, f(7) = 2(7) + 13 = 14 + 13 = 27.
Hence f(x) = 2x + 13 has a greater value when x = 7.
Part c: f(x) = 2x + 13 = 75
2x = 75 - 13 = 62
x = 62/2 = 31
Answer:
The vertex is (1,-2)
Step-by-step explanation:
On your page it would be C :)
<h3><u>d^3 - 4bd^2 + 16b^2d - 64d^3 is the expanded binomial.</u></h3>
The binomial theorem involves Pascal's triangle, and essentially gives you the coefficients for the formula you're going to use to expand it.
In this case, the coefficients will be 1, 3, 3, and 1.
We can set up our formula like this:
(a + (-b)) = a^3 + a^2b + ab^2 + b^3
Now we can just plug in our values:
(d + (-4b))^3 = d^3 + d^2(-4b) + d(-4b)^2 + (-4b)^3
Now, we can simplify the equation.
(d + (-4b))^3 = d^3 - 4bd^2 + 16b^2d - 64d^3
