You can set y = to each side of the equation, then multiply by the denominator and put into standard form.
Left side:
.. y = 1/4x -3
.. 4y = x -12 . . . . multiply by 4
.. 4y -x = -12 . . . subtract x
Right side:
.. y = 1/2x +8
.. 2y = x +16 . . . multiply by 2
.. 2y -x = 16 . . . subtract x
These equations correspond to selection B.
So this is a two step process, first you must find the area of the rectangle, then find the area of the semicircle.
So to find the area of a rectangle, you use: Length*Height=Area
In this case that would be: 7*2=14cm
Next you find the area of the semicircle, to do this you first find the area of the circle (Pi*r^2) then divide it by 2.
The diameter of the circle is 4 because: 7-2-1=4cm
Next divide that by 2 so that you get the radius: 4/2=2cm
Not you can plug that into the equation to get the area of the circle: Pi*2^2<span>≈13cm^2
Next divide it by 2 so that you get the area of the semicircle:13/2</span><span><span>≈</span>6cm^2
At this point you can add the area of the semicircle to the area of the rectangle: 14+6=20cm^2
So your final answer is 20cm^2!
</span>
Answer:
5 seconds
Step-by-step explanation:
All you have to do is make a ratio.
10 yards = 5/3 seconds
10 * 3 = 30 yards
5/3 * 3 = 15/3 = 5 seconds
Step-by-step explanation:
she increased the amount from 48g to 54g. that is 54-48 = 6g.
so, the question really is, how many % of 48 is 6 ?
100% = 48g
1% = 100%/100 = 48/100 = 0.48g
how many % are 6g ?
as many as how often 1% (0.48g) fits into 6g :
6 / 0.48 = 12.5%
Answer:
About 0.559 seconds
Step-by-step explanation:
The height equation is:
Where 
is the initial height of the book, which is 5, so we can write:
Now, we want time it took for the book to reach ground (h = 0)
So, we substitute h = 0 and solve for t:
It took about 0.559 seconds for the book to reach the ground
