If the length of the trail on map A is 9 centimeters, and the scale factor is a centimeter to 2 kilometers, the actual length of the trail would be 18 kilometers.
Answer:
<u>Equation:</u>
Step-by-step explanation:
<u>Step 1:</u>
- Pull out like factors:
<u>Trying to factor as a Difference of Cubes:</u>
- Factoring:
- Theory : A difference of two perfect cubes, a^3 - b^3 can be factored into
- (a-b) • (a^2 +ab +b^2)
- Proof : (a-b)•(a^2+ab+b^2) =
- a^3+a^2b+ab^2-ba^2-b^2a-b^3 =
- a^3+(a^2b-ba^2)+(ab^2-b^2a)-b^3 =
- a^3+0+0-b^3 =
- a^3-b^3
- Check : g^1 is not a cube !!
- Ruling : Binomial cannot be factored as the difference of two perfect cubes
<u>Equation at end of step 1:</u>
- <u />
<u>Step 2:</u>
- A product of several terms equals zero.
- When a product of two or more terms equals zero, then at least one of the terms must be zero.
- We shall now solve each term = 0 separately
- In other words, we are going to solve as many equations as there are terms in the product
- Any solution of term = 0 solves product = 0 as well.
<u>Solving a Single Variable Equation:</u>
- Solve
- In this type of equations, having more than one variable (unknown), you have to specify for which variable you want the equation solved.
- We shall not handle this type of equations at this time.
<u>Solution:</u>
It is 1.75 pounds. 16 ounces is equal to 1 pound.
1) 5r*7/15 = 35r/15 = 7r/3
2) 1.2 (w + u/12) = 1.2w + 0.1u
3) 0.2w/2 = 0.1w
4) x +3x/4 + 0.9z = 1.75x + 0.9z
5) 4*( 3y/8 - x/2) = 1.5y -2x
6) 0.6* ( 4w/6 - 5v/18 ) = 2w/5 - 5v/3
Answer:
Angle BOC = 28; Angle AOB = 21
Step-by-step explanation:
Because angle AOC = AOB + BOC you can set the equation:
2x+10 + 4x-15 = 49
<solve for x>
6x - 5 = 49
6x = 54
x= 9
<plug in x for the angles>
BOC = 2(9) +10 = 28
AOB = 4(9) - 15 = 21