Answer:
Carlos is incorrect.
Step-by-step explanation:
We have been given that a line through the origin has a slope of 
. Carlos thinks the slope of a perpendicular line at the origin will be 3.
We know that the slope of a perpendicular line to a given line is always negative reciprocal of the slope of the given line.
The slope of the perpendicular line at the origin will be negative reciprocal of .
Let us find negative reciprocal of as:
Since the slope of a perpendicular line at the origin is 
, therefore, Carlos is incorrect.
When the equation is ax+b which is y =ax+b
Answer:
square root (50) = 7.071
Step-by-step explanation:
Using Pthagoras' theorem, the diagonal length is 
.
Therefore, the diagonal length is the square root of 5^2+5^2,
= 
= 
= 7.071
1 ) Billy walks 15 miles every day to soccer practice and he had 5 practices last week.
We know that, 1 mile = 1760 yards
So, 15 miles = (15× 1760) yards = 26400 yards
Thus the total distance walked in 5 practices will be: 
2) Mark's current age is 
years
So, his age was in 10 years ago 
Given that, his current age is 3 times his age 10 years ago.
So, the equation to represent this situation will be : 
Hi!
Remember that an x-intercept is a point in which the line touches the x-axis (the horizontal line). And, the y-intercept is a point in which the line touches the y-axis (the vertical/up and down line)
-----------------
For A)
The coordinate of the y-intercept is (0,1)
The coordinate of the x-intercept is (3,0)
For B)
The coordinate of the y-intercept is (0,0)
The coordinate of the x-intercept is (0,0) !
*both the x and y axis meet at the origin. So, a line that goes through the origin (0,0) is intersecting with BOTH the x and y-axis.
Hope I helped! Comment if you have any questions or concerns.
-Gabby5792
