We are given that
.
Substitute x with 5-x, then the above equation becomes:
, that is
So, we have the following system of equations:
i)
ii)
multiply the first equation by -4, so that we eliminate f(5-x)'s
i)
ii)
adding the 2 equations side by side we have:
expanding the binomial, and collecting same terms we have:
dividing by -5:
dividing by 3:
Answer:
Answer/Step-by-step Explanation:
Circumference of a circular object = πd
Where,
π = 3.14,
d = diameter
Circumference of hula pop with diameter of 35 in:
Circumference = πd = 3.14*35 = 109.9 in
Diameter of circular pond with a circumference of 556 ft:
556 = 3.14*d
Divide both sides by 3.14
556/3.14 = d
177.07 = d
d ≈ 117 in
Circumference of magnifying glass with a diameter of 5.2 in:
Circumference = πd = 3.14*5.2 = 16.328 ≈ 16.4 cm
Diameter of car tire with a circumference of 71.6 in:
71.6 = 3.14*d
Divide both sides by 3.14
71.6/3.14 = d
22.80 = d
d ≈ 22.8 in
The answer to 1 is (E) All of the above. This is because a negative cannot be under a square root and it comes out as an i.
The answer to 2 is (B) a is real and b is imaginary. This is because anything that has an "i" attached to it is considered imaginary.
Answer:
Given: 
, y =6
To prove: x =7
On substituting the value of y =6 in the equation 7y = 8x -14 to solve for x.
or
42 = 8x -14 ......[1]
Addition Property of equality states that you add the same number to both sides of an equation.
Add 14 to both sides in equation [1];
42+14 =8x -14+14
Simplify:
56 = 8x
or
8x =56 ......[2]
Division Property of equality states that you divide the same number to both sides of an equation.
Divide by 8 to both sides of an equation [2];
Simplify:
x =7 Hence proved!
A two Column proof:
Statement Reason
1. 7y = 8x -14 Given
y= 6
2. 7(6) = 8x -14 Substitution property
3. 42+14 = 8x Addition property of equality
4. 56 =8x Simplify
5. x =7 Division Property of equality
Answer:
14
Step-by-step explanation:
-2x^3 - 2x^2 - 4x-2
Let x = -2
-2 (-2)^3 - 2 (-2)^2 -4(-2) -2
Exponents first
-2 (-8) -2 (4) -4(-2) -2
Then multiply
16 -8 +8 -2
Then add and subtract
14
