The area of the rectangular patio to be painted is: B. A = (x + 20)(x + 10) - 12.
<h3>What is a Rectangle?</h3>
A rectangle, by definition, is a quadrilateral with two pairs of opposite that have the equal lengths. All four angles of a rectangle are right angles (90 degrees).
<h3>What is the Area of a Rectangle?</h3>
The area of a rectangle = (length of rectangle)(width of rectangle).
Given the following parameters for the patio and the bench:
- Length of rectangular patio = x + 20
- Width of rectangular patio = x + 10
- Length of rectangular bench = 6
- Width of rectangular bench = 2
Area to be painted = area of rectangular patio - area of rectangular bench
Area of rectangular patio = (x + 20)(x + 10)
Area of rectangular bench = (6)(2) = 12
Area to be painted = (x + 20)(x + 10) - 12
The answer is: B. A = (x + 20)(x + 10) - 12.
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Answer:
Rational
Step-by-step explanation:
Answer: -(x-6) (x+2)
Step-by-step explanation: screenshot
Answer:
B) <
Step-by-step explanation:
Since both numbers are being multiplied by 10^-5, we can completely cut that part out of the inequality and instead just compare the values 3.2 and 4.6. It is obvious when looking at the problem that 3.2 is <em>smaller than</em> 4.6, so we will use the less than symbol <.
Hopefully that's helpful! Good luck on your quiz. :)
Answer:
x=-2+3t , y=-9-10t
Step-by-step explanation:
I'm going to start by solving the first equation for t....which will give (x-x1)/(x2-x1) =t.
You can now substitute this in the second equation to get....y=y1 + (y2-y1)(x-x1)/(x2-x1)
Rearranging, you get y-y1 = (y2-y1) / (x2-x1) * (x-x1) which is equivalent to y-y1= m(x-x1) which is the point-slope formula for a line.
So since t was varying between 0 and 1,
plugging in t=0 you get x=x1 and y = y1 givin you the coordinate (x1,y1)
similarly, plugging in t=1 leads to (x2,y2)
So this is a representation of a segment connecting these 2 points.
B) just plug in the points into your given formula from part a to get...
x=-2 +(1--2)t and y = 9 +(-1-9)t
or x=-2+3t , y=-9-10t