Answer:
n= -15
k = -11
Step-by-step explanation:
-14 = -11 + n/5
-14 + 11 = n/5
-3 = n/5
n = -15
-5k-16 = 39
-5k = 39 + 16
-5k = 55
k = -11
Answer: Perimeter = 2(L + W) and
as a simplified expression is, 8x + 2
Step-by-step explanation: The length is represented by L and the width is represented by W in the expression above.
However, since we have been given the sides of the rectangle as x + 2 and 3x - 1, we shall substitute for the values of these in the expression representing the perimeter.
2(L + W) can now be written as
2( {x + 2} + {3x - 1} )
2(x + 2 + 3x - 1)
By collecting like terms, we now have
2(4x + 1)
8x + 2.
The expression can now be simplified as 8x + 2
Solve for x by cross multiplying then isolating the variable:
![\frac{9}{15}= \frac{x}{10}](https://tex.z-dn.net/?f=%20%5Cfrac%7B9%7D%7B15%7D%3D%20%5Cfrac%7Bx%7D%7B10%7D%20%20)
cross multiply
15x=90 Isolate the variable
x=6
Solve for y by cross multiplying then isolating the variable:
![\frac{9}{15} = \frac{6}{y}](https://tex.z-dn.net/?f=%20%5Cfrac%7B9%7D%7B15%7D%20%3D%20%5Cfrac%7B6%7D%7By%7D%20)
cross multiply
9y=90 Isolate the variable
y=10
First, distribute the terms.
1(2x^3) = 2x^3
-1(x^2+11) = -x^2-11
Standard form:
2x^3 - x^2 - 11
Since there is a 3, the degree of polynomial is cubic.
The equation for slope is:
(y2 - y1) / (x2 - x1)
-2 -(-7) = 5
-9 -(-1) = -8
Slope of the line:
5/-8 or -5/8