Answer:
Both proportions are equivalent.
Step-by-step explanation:
We have been given two proportions
and
. We are asked to find why the solutions to our given proportions are equal.
We can solve proportions by cross multiplying them.
After cross multiplying our both proportions we will get same equation that is:




Since we get same equation after cross multiplying both proportions, therefore, the solutions to the given proportions would be same.
Answer:
x = -12
Step-by-step explanation:
Step 1: Subtract 2x from both sides
2x + 10 = -14
Step 2: Subtract 10 from both sides
2x = -24
Step 3: Divide both sides by 2
x = -12
Answer:
w = 8
Step-by-step explanation:
4+ 1/4 w=6
Subtract 4 from each side
4-4+ 1/4 w=6-4
1/4w = 2
Multiply each side by 4
4* 1/4 w=2*4
w = 8
Step-by-step explanation:
The slope of the given line is -3. Since perpendicular lines have slopes that are negative reciprocals of each other, the slope of the line we need to find is 1/3.
Substituting into point slope form, we get:
y + 6 = ⅓(x+6)