Answer:
- 18x - 9 = 72
- 3(6x - 3) = 72
- x = 45
Step-by-step explanation:
Apply the distributed property:
- Apply the distributed property: 3/5 × 30x = 18x, 3/5 × 15 = 9
- Re-write the equation: 18x - 9 = 72
- 18x - 9 = 72 is an option listed, so that's one of the answers.
See the other options:
- Another option that looks like it could be the answer is 3(6x - 3) = 72
- Apply the distributed property like we did above, so it now looks like this: 18x - 9 = 72
- This is the same as what we got above, so it is also an answer.
Solve:
- Add 9 to each side, so it now looks like this: 18x = 81
- Divide each side by 18 to cancel out the 18 next to x. It should now look like this: x = 4.5
- x = 45 is an option listed, so that's one of the answers.
I hope this helps!
Answer:
n = 0 or 10
Step-by-step explanation:
From the question,
Equation of the circle = (x-1)²+(y-5)² = 50 ............... Equation 1
Coordinate of the circle = (6,n)
From the question
x = 6, y = n
Substitute the value of x and y into equation 1
(6-1)²+(n-5)² = 50
5²+(n-5)² = 50
25+(n-5)² = 50
(n-5)² = 50-25
(n-5)² = 25.
Solving for n
n-5 = √(25
n-5 = ±5
Either,
n-5 = -5
n = -5+5
n = 0
or
n-5 = +5
n = 5+5
n = 10
Answer:
Asanji drove for
hours before Huong caught up
Step-by-step explanation:
Let the time for which Asanji drove alone is "X" hours
Asanji and Huong met after three hours of driving of Huong.
Total time for which Asanji drove
hours
Thus, distance travelled by Asanji in
hours is equal to distance travelled by Huong in
hours

On solving the above equation, we get -

Asanji drove for
hours before Huong caught up
Answer:
Step-by-step explanation:
Given expression:

In order to simplify the given expression, we will first group the like terms.

Then we combine the like terms,

The terms combined can be written as:
(Answer)