Answer:
B. The Huddle Room, by 3 square feet
Step-by-step explanation:
9 * 11 = 99
8 * 12 = 96
99 - 96 = 3
The Huddle Room, by 3 square feet
Hope this helps!
To graph the equation, plot a few points then connect then with a line.
f(x) = 440 - 55x
Plug in numbers for x to get the y value.
f(0) = 440
f(1) = 385
f(2) = 330
f(3) = 275
f(4) = 220
f(5) = 165
So when you graph these points, the y intercept is y = 440 because the graph crosses the y axis at (0, 440).
The x intercept is where the graph crosses the x axis. This happens when y = 0.
0 = 440 - 55x. Solve for x.
55x = 440
x = 8
So the x intercept is x = 8
Answer:
Up
Step-by-step explanation:
Here the easy rules to remember the orientation of the parabolas are
a) If x is squared it opens up or down. And its coefficient of {![x^{2}[tex] is negative it opens down.b) If y is squared it opens side ways right or left. It its coefficient of [tex]y^{2}](https://tex.z-dn.net/?f=x%5E%7B2%7D%5Btex%5D%20is%20negative%20it%20opens%20down.%3C%2Fp%3E%3Cp%3Eb%29%20If%20y%20is%20squared%20it%20opens%20side%20ways%20right%20or%20left.%20It%20its%20coefficient%20of%20%5Btex%5Dy%5E%7B2%7D)
Hence in our equation of parabola
x is squared and its coefficient is positive , hence it opens up towards positive y axis.
Answer: D. (-4, -2)
<u>Step-by-step explanation:</u>
Rotating 180° about the origin means the signs for the x- and y-values are opposite.
(x, y) → (-x, -y)
(4, 2) → (-4, -2)
<span>y=−3x+2</span> is a linear equation in slope-intercept form with
slope <span>m=<span>(−3)</span></span>
(and y-intercept <span>=2</span>)
We want the equation of a line with slope <span>m=<span>(−3)</span></span> through the point <span>(<span>−2</span>,<span>−8</span>)</span>
Using the point-slope linear equation form:
<span><span>(y−<span>(−8)</span>)</span>=<span>(−3)</span><span>(x−<span>(−2)</span>)</span></span>
Simplifying
<span>y+8=−3x−6</span>
or, in standard form
<span>3x+y=−<span>14</span></span>
