Area= LxW
=33x10
=330feet
Perimeter =L+W+L+W
=33+10+33+10
=86feet
Hope this helps :)
Answer:
The standard form of the line is 10x + 3y = 10
Step-by-step explanation:
First we need to find the slope of the equation, which we can do using the slope equation and the two points given: (3, 0) and (0, 10)
m(slope) = (y2 - y1)/(x2 - x1)
m = (10 - 0)/(0 -3)
m = 10/-3
Now we can write the equation in slope intercept form since we have the slope and the intercept.
y = mx + b
y = -10/3x + 10
Now we can manipulate the equation to get the standard form.
y = -10/3x + 10
10/3x + y = 10
10x + 3y = 30
Answer:
2/3 x 5/5 and 4/4 x 2/3
Step-by-step explanation:
I used my calculator so I really can't explain it to you but those are the answers for sure. Good Luck!!! :) :)
I assume that the equation is supposedly written as, y = (76)(1.013^x). This means that the population of the United States increases by 1.3% every year. If we substitute 0 to the value of x,
y = 76(1.013^0) = 76(1) = 76
I assume that the unit for y in the equation is million. Therefore, the answer is letter B. 76 million.
<em>Options:</em>
<em>Rotation of 180° about point B
</em>
<em>Rotation of 90° about point b
</em>
<em>Reflection over the x-axis
</em>
<em>Translation down 2 units</em>
<em></em>
Answer:
Rotation of 180° about point B
<em></em>
Step-by-step explanation:
Considering coordinates of point B
Assume the coordinates of the line at point B is (x,y)
i.e. 
First, we need to determine the slope at point B
Taking coordinates about the origin.
The slope of B is:

Where
--- origin

becomes


Taking the options one after the other:
Option A.
When rotated by 180°, the resulting coordinates of B would be

Taking the slope of B'
The slope of B is:

Where
--- origin

becomes



Notice that the slope of B and B' is the same;

<em>Hence:</em>
<em>Rotation of 180° about point B answers the question</em>
<em></em>
<em>There's no need to check for other options</em>