1.75
2.15
3.105
4.90
these are the answers
Answer:
We have that 
Step-by-step explanation:
We have just to replace n=10 on the general equation

Therefore:

11. 5x^2-30=0
+30 to both sides
5x^2=30
÷5 both sides
x^2=6
square root both sides
x= +square root 6 ,- square root 6
12. 4x^2+10=26
-10 both sides
4x^2=16
÷4 both sides
x^2=4
square root both sides
x=+2,-2
13. a=72yrd^2
l=2w
w=?
a=l×w
72=2w×w
72=2w^2
÷2 both sides
36=w^2
square root both sides
w=+6,-6
a measurement can't be - so w=6
Plug into l=2w
l=2×6
l=12
w=6
Answer:
The width of the frame is 0.0746 meters
Step-by-step explanation:
We are told that after the frame has been attached to the solar collector, the area that is left exposed is
. As we see in the figure, the dimensions of this area are
and 
where
is the width of the frame.
The product of these dimensions must equal the exposed area:

Now since
and
we have:

we expand this and solve for x using the quadratic formula:


we get two solutions:


We take the second solution i.e
, because first one gives a width larger than the dimensions of the solar collector which cannot be possible.
Thus the width of the frame is 0.0746 meters.