Answer:
This is slope-intercept form: y = (-3/4)x + 3
The slope is: -3/4
The y-intercept is: 3
Step-by-step explanation:
3x + 4y - 12 = 0
Isolate y
3x - 3x + 4y -12 + 12 = -3x + 12
Simplify
4y = -3x + 12
Divide 4 on each side to get y by itself
4y/4 = -3x/4 + 12/4
Simplify
y = (-3/4)x + 3
This is slope-intercept form: y = (-3/4)x + 3
The slope is: -3/4
The y-intercept is: 3
Answer:
Hypothesis
Step-by-step explanation:
When people make researches, they make a statement and then go further to either price that statement wrong or right.
Once the statement is proven right, either by virtue of field work or laboratory work, it becomes a theory.
That unproven statement that can either be true or wrong, but baseless because it is yet to be proven is called HYPOTHESIS
The speed of the current in a river is 6 miles per hour
<em><u>Solution:</u></em>
Given that,
Speed of boat in still water = 20 miles per hour
Time taken = 3 hours
Distance downstream = 78 miles
To find: Speed of current
<em><u>If the speed of a boat in still water is u km/hr and the speed of the stream is v km/hr, then: </u></em>
Speed downstream = (u + v) km/hr
Speed upstream = (u - v) km/hr
<em><u>Therefore, speed downstream is given as:</u></em>

We know that,
Speed downstream = (u + v)
26 = 20 + v
v = 26 - 20
v = 6 miles per hour
Thus speed of the current in a river is 6 miles per hour