Mathematics, 29.07.2019 00:00 blxxmgrxcie

Two jets leave an airport at the same time, flying in opposite directions. the first jet is traveling at three hundred seventy-seven mph and the other at two hundred seventy-five mph. how long will it take for the jets to be 9128 miles apart?

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Answer from: omidbromand786

Remember that distance equals speed times time: d=st

. We know for our problem that the speed of our first jet is 377 mph, so $s_{1}=377$ . We also know the speed of our second one is 275 mph, so $s_{2}=275$ . Since the the time that will it take for the jets to be 9128 miles apart is the same,

is going to be equal for both jets. Now we can setup our distance equations for both jets.
For our first jet:
$d_{1}=377t$
For our second jet:
$d_{2}=275t$

We know for our problem that after

the jets will be 9128 miles apart, so the total distance will be 9128: $d_{t}=9128$ . Since our jets are traveling in opposite directions, the distance between them will increase over time, so we are going to add $d_{1}$ and $d_{2}$ , and set them equal to $d_{t}$ to find our time:
$d_{t}=d_{1}+d_{2}$
9128=377t+275t

$t= \frac{9128}{652}$
t=14

We can conclude that our jets will be 9128 miles apart after 14 hours.

Answer from: Quest

a. we have two

lines: y = 4-x and

y = 8-x^-1

given two simultaneous equations that are both to be

true, then the solution is the points where the lines cross. the intersection is

where the two equations are equal. therefore the solution that works for both

equations is when

4-x = 8-x^-1

this is where the two lines will cross and that is the

common point that satisfies both equations.

b. 4-x = 8-x^-1

x 4-x 8-x^-1

-3 7

8.33

-2 6 8.5

-1 5 9

0 4

1 3

2 2

7.5

3 1 7.67

the table shows that none of the x values from -3 to 3 is

the solution because in no case does

4-x = 8-x^-1

to find the solution we need to rearrange the equation to

find for x:

4-x = 8-x^-1

multiply both sides with x:

4x-x^2 = 8x-1

x^2+4x-1=0

x= -4.236, 0.236

therefore there are two points that satisfies the

equation.

find y:

x=-4.236

y = 4-x = 4 – (-4.236)

= 8.236

y = 8-x^-1 = .236)^-1

= 8.236

x=0.236

y = 4-x = 4 – (0.236) = 3.764

y = 8-x^-1 = 8-(0.236)^-1

= 3.764

thus the two lines cross at 2 points:

(-4.236, 8.236) & (0.236, 3.764)

c. to solve

graphically the equation 4-x = 8-x^-1

we would graph both lines: y = 4-x and y

= 8-x^-1

the point on the graph where the lines cross is the

solution to the system of equations.

just graph the points on part b on a cartesian coordinate

system and extend the two lines. the

solution is, as stated, the point where the two lines cross on the graph.

step-by-step explanation:

mark brainliest!

Answer from: Quest

see explanation

step-by-step explanation:

(6r + 7) + (13 + 7r) ( remove brackets and collect like terms )

= 6r + 7 + 13 + 7r

= 13r + 20

remove brackets and collect like terms

13 - $\frac{3}{2}$ r - 1 + r

= 12 - $\frac{1}{2}$ r

remove brackets and collect like terms

= - 8 - r + 2r - 4

= - 12 + r

remove brackets and collect like terms

= 7r - $\frac{3}{2}$ - $\frac{2}{3}$ - 6r

[- $\frac{3}{2}$ - $\frac{2}{3}$ = - $\frac{9}{6}$ - $\frac{4}{6}$ = - $\frac{13}{6}$ ]

= r - $\frac{13}{6}$

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