Answer:
Step-by-step explanation:
Distance = speed * time
- d = 12 *1 1/2 = 12*1.5 = 18
Answer:
D. y = 4x - 6
Step-by-step explanation:
The equation that is perpendicular to the line MN should have a slope that when multiplied by the slope of line MN will result to negative one. Therefore,
Therefore,
m₁ × m₂ = -1
Using the 2 coordinates of MN let's find the slope,
(-7, 6)(5, 3)
Therefore,
m₁ = 3 - 6 / 5 - (-7) = -3 / 12 = - 1 / 4
The equation that represent a line perpendicular to the line MN is
y = 4x - 6 because the slope slope(m₂) is 4.
From our formula,
4 × - 1 / 4 = - 1
So, option D meets the requirement.
Answer:
144
Step-by-step explanation:
<u>Data:</u>
<em>Emily's age</em> : 46 years old
<u>Find Colin's age</u>
<em>Colin's age</em>: 11 years older than Emily
Emily's age + 11
46 + 11 = 57 years old
<u>Find Dan's age</u>
<em>Dan's age</em>: 5 years younger than Emily
Emily's age - 5
46 - 5 = 41 years old
<u>Find their combined ages</u>
<em>Combined ages</em>: Emily's age + Colin's age + Dan's age
<em>Combined ages </em>= 46 + 57 + 41
Total = 144
Therefore, the total of their combined ages is 144.
1) Graph the corresponding equation \( x = 2 \); this will split the plane into two regions. One of the region represents the solution set.
2) Select a point situated in any of the two regions obtained and test the inequality. If the point selected is a solution, then all the region is the solution set. If the selected point is not a solution, then the other (second) region represents the solution set.
3) Test: In this example, let us for example select the point with coordinates (3 , 2) which is in the region to the right of the line x = 2. If you substitute x in the inequality \( x ≥ 2 \) by 3 it becomes \( 3 ≥ 2 \) which is a true statement and therefore (3 , 2) is a solution. Hence, we can conclude that the region to the right of the vertical line x = 2 is a solution set including the line itself which is shown as a solid line because of the inequality symbol \( ≥ \) contains the \( = \) symbol. The solution set is represented by the blue hash region in the graph below including the line x = 2.
