<u>Answer</u>
12 units
<u>Explanation</u>
This can be solved using the properties of a circle.
DG and EG are secants f the circle.
DG×HG =EG×FG
(x+3+5)×5 = (x+6)×6
(x+8)5 = 6x + 36
5x +40 = 6x + 36
x = 4
DG = (x+3+5)
= 4 + 3 + 5
= 12 units
Parameterize ![S{/tex] by[tex]\vec s(u,v)=u\,\vec\imath+v\,\vec\jmath+(8-u^2-v^2)\,\vec k](https://tex.z-dn.net/?f=S%7B%2Ftex%5D%20by%3C%2Fp%3E%3Cp%3E%5Btex%5D%5Cvec%20s%28u%2Cv%29%3Du%5C%2C%5Cvec%5Cimath%2Bv%5C%2C%5Cvec%5Cjmath%2B%288-u%5E2-v%5E2%29%5C%2C%5Cvec%20k)
with
and
.
Take the normal vector to
to be

Then the flux of
across
is



(32•7a3b2)
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "^-4" was replaced by "^(-4)".
Step by step solution :
Step 1 :
Equation at the end of step 1 :
0-(((9•(a2))•(b6))•(0-7ab(-4)))
Step 2 :
Equation at the end of step 2 :
0 - ((32a2 • b6) • -7ab(-4))
Step 3 :
Final result :
(32•7a3b2)
I think its like this ,Tho hope it helped
The amount borrowed from the the lender that charges 4.4% interest is $1000.
The amount borrowed from the the lender that charges 5.7% interest is $1500.
<h3>What are the linear equations that can be derived from the question?</h3>
a + b = $2500 equation 1
0.088a + 0.114b = $246 equation 2
Where:
a = amount borrowed from the lender that charges 4.4% interest
b = amount borrowed from the lender that charges 5.7% interest
<h3>How much was
borrowed from the
lender that charges 5.7% interest?</h3>
Multiply equation 1 by 0.114
0.114a + 0.114b = 285 equation 3
Subtract equation 2 from equation 3
39 = 0.026b
b = $1500
<h3>How much was
borrowed from the
lender that charges 4.4% interest?</h3>
Substitute for b in equation 1
a + $1500 = $2500
a = $2500 - $1500
a = $1000
To learn more about simultaneous equations, please check: brainly.com/question/25875552