Answer:
The third one I think, O (5,-1), but I'm not sure if I'm correct or not.
Step-by-step explanation:
Answer: x = 3
Step-by-step explanation:
Simplifying
10x + -4 = 6x + 8
Reorder the terms:
-4 + 10x = 6x + 8
Reorder the terms:
-4 + 10x = 8 + 6x
Solving
-4 + 10x = 8 + 6x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6x' to each side of the equation.
-4 + 10x + -6x = 8 + 6x + -6x
Combine like terms: 10x + -6x = 4x
-4 + 4x = 8 + 6x + -6x
Combine like terms: 6x + -6x = 0
-4 + 4x = 8 + 0
-4 + 4x = 8
Add '4' to each side of the equation.
-4 + 4 + 4x = 8 + 4
Combine like terms: -4 + 4 = 0
0 + 4x = 8 + 4
4x = 8 + 4
Combine like terms: 8 + 4 = 12
4x = 12
Divide each side by '4'.
x = 3
Simplifying
x = 3
Given:
A grandfather is 9 times older than his granddaughter.
In 8 years the grandfather will be 5 times older than his granddaughter.
To find:
The present age of grandfather and granddaughter.
Solution:
Let x be the present age of granddaughter.
Then, present age of grandfather = 9x
After 8 years,
Age of granddaughter = x+8
Age of grandfather = 9x+8
In 8 years the grandfather will be 5 times older than his granddaughter.
Isolate variable terms.
Divide both sides by 4.
Now,
Present age of granddaughter = 8
Present age of grandfather = 9(8) = 72
Therefore, the present age of granddaughter is 8 years and present age of grandfather is 72 years.
The two vertices (-5, 8) and (-5, -6) of the rectangle have the same x-coordinates
The distance between the two vertices is 14 units
<h3>How to determine the distance between the two vertices?</h3>
The vertices are given as:
(-5, 8) and (-5, -6)
The distance between the two vertices is calculated using:
d = √[(x2 - x1)^2 + (y2 - y1)^2]
So, we have:
d = √[(-5 + 5)^2 + (8 + 6)^2]
Evaluate the sum
d = √196
Evaluate the square root
d = 14
Hence, the distance between the two vertices is 14 units
Read more about distance at:
brainly.com/question/7243416
Answer:
n = 3.5
Step-by-step explanation:
basically it's saying that 2.8 is proportional to 4.8 as n is proportional to 6. therefore:
2.8/4.8 = n/6
0.583 = n/6
3.5 = n