What is the equation of the graphed line written in standard form?

True or false? In a two-column proof, the right column states your reasons

lisov135 [29]

It is true because right is the reasons and left are the statements.

Hope this helps :)

8 0

3 years ago

Two trucks leave a warehouse at the same time. One travels due west at an average speed of 58 miles per hour, and the other trav

Aleksandr [31]

Answer:

17.33 hours or 17 hours 20 minutes.

Step-by-step explanation:

The distance travelled per hour for truck "A" = 58 miles.

The distance travelled per hour for truck "B" = 46 miles.

Now, it is obvious that the first truck (Truck A) was travelling with a fairly greater speed than the second truck (Truck B) so it is safe to say that the distance covered by truck A in a given number of hours will certainly be greater than the distance that is covered by truck B over the same period. In this situation, let us use "y" to represent that number of hours that it will take for the distance between the two trucks to now become 208 miles assuming the two trucks (A and B) maintained their respective average speed.

This means that, for that number of hours(y), the distance covered by the first truck (truck A) will be 58 × y = 58ymiles and the distance that the second truck would cover over the same period will be 46 × y = 46ymiles.

This ultimately implies that the distance between them or the difference between the distances that the trucks have covered after this unknown number of hours is 208miles. Since they are travelling due west and due east respectively and the first truck is travelling at a greater speed, then:

58y miles - 46y miles = 208 miles.

12y = 208

y = 208/12

y = 17.33 hours.

Since 1 hour = 60 minutes, then 0.33 hours is:

1 hour --------- 60 mins

0.33 hour -------- ? mins

= 0.33/1 × 60/1 = 20 minutes

If the drivers of both trucks maintained their average speeds, then the time it will take for them to become 208 miles apart is 17 hours 20 minutes or 17.33 hours

5 0

3 years ago

X

ratelena [41]

C the correct answer is C

4 0

3 years ago

Vanessa has scored 45, 32, and 37 on her three math quizzes. She will take one more quiz and she wants a quiz average of at leas

zhenek [66]

45 + 32 + 37 = 114

114÷3 = 38

4 total quizzes,

for a 40 average on 4 quizzes she needs 40*4 = 160 total points

for 3 quizzes she has 45 +32 +37 = 114 points

160-114 = 46, she needs at least a 46 on the 4th quiz

6 0

3 years ago

Read 2 more answers

Find a set of parametric equations of the line with the given characteristics. (Enter your answer as a comma-separated list of e

emmainna [20.7K]

This question is incomplete, the complete question is;

Find a set of parametric equations of the line with the given characteristics. (Enter your answer as a comma-separated list of equations in terms of x, y, z, and t.) The line passes through the point (3, 1, 2) and is parallel to the line given by x = y = z.

Answer:

the set of parametric equations of the line with the given characteristics are; x = t+3, y = t+1, z = t+2

Step-by-step explanation:

Given that;

line x = y = z and point ( 3, 1, 2 )

the given line can be written as;

[x-0 / 1] = [y-0 / 1] = [z-0 / 1]

if two lines are parallel directional ratios are equal.

so DIRECTIONAL RATIOS of given line is ( 1, 1, 1 )

therefore required line is;

[x-3 / 1] = [y-1 / 1] = [z-2 / 1] = t

⇒ [x-3 / 1] = t

x = t+3

[y-1 / 1] = t

y = t+1

[z-2 / 1] = t

z = t+2

Therefore the set of parametric equations of the line with the given characteristics are; x = t+3, y = t+1, z = t+2

8 0

3 years ago