If the denominator does not equal 0, the equivalent expression of 
is 
<h3>How to determine the equivalent expression?</h3>
The expression is given as:
Divide 14 by 7
Apply the law of indices
Evaluate the differences in the exponents
Hence, the equivalent expression of is
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The cone equation gives
which means that the intersection of the cone and sphere occurs at
i.e. along the vertical cylinder of radius
when
.
We can parameterize the spherical cap in spherical coordinates by
where
and
, which follows from the fact that the radius of the sphere is 3 and the height at which the sphere and cone intersect is
. So the angle between the vertical line through the origin and any line through the origin normal to the sphere along the cone's surface is
Now the surface area of the cap is given by the surface integral,
Answer:
1. x =0; x = -7
2. x = -3; x = 10
3. x = -5; x = -4
Step-by-step explanation:
(1). 6x² + 42x = 0
6x (x + 7) = 0
6x = 0. OR. x + 7 = 0
x = 0/6. x = 0 - 7
x = 0. x = -7
x = 0
x = -7
(2). x² - 7x - 30 = 0
The factors here are (3, -10)
x² - 10x + 3x - 30 = 0
x ( x - 10) + 3 ( x - 10) = 0
(x + 3) ( x - 10) = 0
x + 3 = 0 OR. x - 10 = 0
x = 0-3. x = 0 + 10
x = -3. x = 10
x = -3
x = 10
(3). x² + 9x + 20 = 0
The factors are ( 4, 5)
x² + 4x + 5x + 20 = 0
x ( x + 4) + 5 ( x + 4) = 0
(x + 5) (x + 4) = 0
x + 5 = 0 . OR. x + 4 = 0
x = 0-5. x = 0 - 4
x = -5. x = -4
x = -5
x = -4
We could use the numbers and the difference of the original cost - the end price in a equation.
53 × x/100 = 15.9
Cross multiply 100 × 15.9.
53x=1590
Divide both sides by 53.
x=30
The coupon was 30%
