Answer:
<h2>B. The slope is 5 and (2, 4) is on the line.</h2>
Step-by-step explanation:
The point-slope form of an equation of a line:
<em>m</em><em> - slope</em>
<em>(x₁, y₁)</em><em> - point</em>
<em />
We have the equation:
Therefore
<em>m = 5</em>
<em>(x₁, y₁) = (2, 4)</em>
<em />
Answer:
Step-by-step explanation:
Let the other side of the rectangle be y. The perimeter of the rectangle is expressed as P = 2(x+y)
Given P = 30ft, on substituting P = 30 into the expression;
30 = 2(x+y)
x+y = 15
y = 15-x
Also since the area of the rectangle is xy;
A = xy
Substitute y = 15-x into the area;
A = x(15-x)
A = 15x-x²
The function that models its area A in terms of the length x of one of its sides is A = 15x-x²
The side of length x yields the greatest area when dA/dx = 0
dA/dx = 15-2x
15-2x = 0
-2x = -15
x = -15/-2
x = 7.5 ft
Hence the side length, x that yields the greatest area is 7.5ft.
Since y = 15-x
y = 15-7.5
y = 7.5
Area of the rectangle = 7.5*7.5
Area of the rectangle = 56.25ft²
Sol_
( 3 - 2 ) + ( 4 - 1 ) ^ 2
= 1 + 3^2
= 1 + 9
= 10
Answer is " - " .
hope it helped !
Thanks!
Answer:
b = (log(y^45))/log(1/y^9) + (2 i π n)/log(1/y^9) for n element Z
Step-by-step explanation:
Solve for b:
(1/y^9)^b = y^45
Take the logarithm base 1/y^9 of both sides:
Answer: b = (log(y^45))/log(1/y^9) + (2 i π n)/log(1/y^9) for n element Z
Answer:
2(2n - 1)
Step-by-step explanation:
Let x = the number of books Theo has read
Then 4x = four times the number of books Theo has read.
And 4n - 2 = 2 less than four times the number of books Theo has read
But 4n -2 = the number of books Maya has read
Factor the expression
4n - 2 = 2(2n - 1)
The factored expression is 2(2n - 1).
