Answer:
Area = (22 ft)(12 ft) + (22 ft)(w)
Step-by-step explanation:
The area is the product of length and width. The length is given as 22 ft (the same for both rooms). The width is the total of the widths of the two rooms.
Straightforward application of the area formula gives ...
... Area = length×width
... = (22 ft)×(12 ft + w)
This is one side of the equation that expresses the distributive property:
... a(b +c) = ab + ac
The other side is
... area = (22 ft)(12 ft) + (22 ft)(w)
The equation in bold above is a direct application of the area formula. The bold equation immediately above here is the result of applying the distributive property, which is apparently what the problem statement wants.
(You may be expected to write it as ... 22×12 + 22×w . . . . without any units.)
Plug into the equation of the ellipsoid:
Complete the square:
Then the intersection is such that
which resembles the equation of a circle, and suggests a parameterization is polar-like coordinates. Let
(Attached is a plot of the two surfaces and the intersection; red for the positive root , blue for the negative)
Answer:
Rate = 56 gal / 7 min
= 8 gal / min
Step-by-step explanation:
Hope this helps leave a heart ad maybe brailiest
Use cosine. Cosine= Adjacent over hypotenuse
Answer:
y = -1/2x
Step-by-step explanation:
Okay, so you probably heard of the slope-intercept form, y = mx + b. We have to use that formula to create a line that goes through (2,1), because thats the bisector.
Let's have our point start at the origin, (0,0). This you make our equation of y=mx+b <u>into</u> y = mx + 0. Since it's 0, let's just <em>drop</em> it out of our equation.
So now for slope. Rise/Run is what we're going to use to create our slope. Since we started at the origin, our slope is going to be negative. We can go down one over two from the origin to get to points (2,1) so why can't that be our slope? We're rising -1, and running 2, making our slope -1/2. In the equation, it would be y= -1/2x + 0, which can be simplified into y = -1/2x
It's a lot of writing and explaining, so I hope this helps! Try asking your teacher just to make sure it's correct.