Answer:
Perpendicular lines have slopes that are opposite and reciprocal. Therefore, the line we are looking for has a -3 slope.
y= -3x+b
Now, we can substitute in the point given to find the intercept.
2= -3(4)+b
2= -12+b
b=14
Finally, put in everything we've found to finish the equation.
y= -3x+14
Answer:
85.95 km
Step-by-step explanation:
Given that,
Alberto ran 45 kilometers on Monday.
On Tuesday, he runs 91% of the distance he ran on Monday.
We need to find how far did he run on Tuesday. It can be given by :

So, he run 85.95 km on Tuesday.
Answer:
5
Step-by-step explanation:
Use pythagorean theorem. The rise is 3 units and the run is 4 unites. Now the length of the line we are trying to find is a hypothenuse(the side opposite of the right angle
Answer:
<h2>
2x + 3y = 33 </h2>
Step-by-step explanation:
As we move from (-2, 5) to (1, 3), x increases by 3 and y decreases by 2.
Hence, the slope of this line is m = rise / run = -2/3.
Start with the slope-intercept form y = mx + b.
Substitute 3 for y and 1 for x and -2/3 for m:
3 = (-2/3)(1) + b.
Remove fractions by mult. all three terms by 3:
9 = -2 + b, so b = 11, and y = (-2/3)x + 11
Again, mult. all three terms by 3:
3y = -2x + 33, or, in standard form,
<h2>
2x + 3y = 33 </h2>
Answer:
190 students
Step-by-step explanation:
Set up a proportion:
95/100 = x/200
Cross multiply:
100x = 19000
Simplify:
x = 190 students