Answer:
Step-by-step explanation:
Slope of a line passing through two points 
and 
is given by the formula,
Slope = 
Slope of the line PQ passing through the two points P(-8, 2) and Q(4, 2) will be,
Slope '
' = 
= 0
Therefore, slope of the line PQ parallel to the x-axis = 0
Slope of the line MN passing through the points M(8, 6) and N(8, -8) is,
Slope '
' = 
= ∞
Therefore, slope of the line MN parallel to y-axis is undefined.
Since, angle between the x-axis and y-axis is 90°,angle at the intersection point between the lines parallel to x and y axis will be 90°.
These lines are perpendicular to each other.
Answer:
Y = 2.5X + 8
Y: height (in feet)
X: time (in years)
Step-by-step explanation:
Height = 8 + 5(t/2)
= 8 + 5t/2
Height = 8 + 2.5t
Y = 2.5X + 8
Proportional reasoning is a form of mathematical reasoning that involves a sense of co-variation and of multiple comparisons, and the ability to mentally store and process several pieces of information. I hope my answer has come to your help. God bless and have a nice day ahead!
Answer:
Distance swam by Sonya in 3 weeks = 19740 m
Step-by-step explanation:
To practice for a competition, Sonya swam 0.94 kilometer in the pool each day for 3 weeks.
Number of days in 1 week = 7
Number of weeks she swam = 3
Total number of days she swam = 3 x 7 = 21 days
Distance swam per day = 0.94 km
Total distance swam = Total number of days she swam x Distance swam per day
Total distance swam = 21 x 0.94 = 19.74 km = 19.74 x 1000 m = 19740 m
Distance swam by Sonya in 3 weeks = 19740 m
y=−3x+9 slope of this equation is -3 and y-intercept is 9
Plot the y -intercept first which is 9 and mark the points using the slope which is -3. Join the points. So blue line in the graph is y = -3x+9
y=−x−5 slope of this equation is -1 and y intercept is -5
Plot the y -intercept first which is -5 and mark the points using the slope which is -1 . Join the points. So pink line in the graph is y = -x-5
The intersection point of these two lines gives you the solution.
The coordinates of point of intersection (7,-12)
