Answer:
w⁴+5w³+17w²+24w +18
Step-by-step explanation:
Area of a rectangle = length * width
Given
Length = w²+3w+9
width = w²+2w+2
Area of the rectangle = (w²+3w+9)(w²+2w+2)
Area of the rectangle = w²(w²) + 2w(w²) + 2w² + 3w(w²) + 3w(2w) + 2(3w)+9w²+9(2w)+9(2)
Area of the rectangle = w^4+2w^3+2w²+3w^3+6w^2+6w+9w²+18w+18
Collect the like terms;
Area of the rectangle = w^4+2w^3+3w^3+2w²+6w²+9w²+6w+18w+18
Area of the rectangle = w⁴+5w³+17w²+24w +18
Hence the area of the entire triangle is w⁴+5w³+17w²+24w +18
Answer:
2 x minus y = negative 6 and 3 x minus y = negative 5
Step-by-step explanation:
y = 2(x+3) = 2x + 6 or 2x - y = -6
y = 5 + 3x or 3x - y = -5
Answer: Long -term capital gain
Step-by-step explanation:
Serena is single, so based on the Taxpayer Relief Act of 1997, she would pay no capital gains tax on the first $250,000 gain.
Therefore, $300,000 - $250,000 = $50,000
<em>The remaining $50,000 gain is taxable because of her being single and it has been her principal residence for three years.</em>
For this case we must pose a verbal problem equivalent to the following expression:
So, we have:
The sum of double a number plus five.
We propose the expression:
A number subtracted from the sum of double the same number plus five equals twenty-six.
Answer:
A number subtracted from the sum of double the same number plus five equals twenty-six.
Answer:
Step-by-step explanation:
We can write the equation of a line in 3 different forms including slope intercept, point-slope, and standard depending on the information we have. We have a point (8,1) and a slope from the equation y=-23x+5. We will chose point-slope since we have a point and slope.
Point slope:
in our new equation because it us perpendicular to it. This means we will need to change it into its negative reciprocal which is 
.
We will substitute and 
.
.
This is the equation of the line perpendicular to y=-23x+5 that crosses through (8,1).
