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3 years ago

Is the ordered pair (4, -2) a solution to this system? Explain why or why not.

Mathematics

1 answer:

Ludmilka [50]3 years ago

5 0

Answer: No, it would not be a solution.

Step-by-step explanation:

The solution to a systems of equations is the point where the lines intersect. The lines do not intersect at (4,-2) so it is not a solution. The lines do intersect at (-2,4), so (-2,4) would be the solution to this system.

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NISA [10]

24. Answer: 15 because to add up to the 90° angle you subtract 90-75 to get 15

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3 years ago

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Heather left the hospital and drove toward the desert at an average speed of 35 km/h. Danielle left sometime later driving in th

elena55 [62]

Answer:

Danielle drove 3 hours

Step-by-step explanation:

Suppose Heather moved in the x direction.

Then Danielle moved in the opposite direction, that is, she moved in the -x direction.

Let's call $V_1$ , $x_1$ , $t_1$ at the speed, distance and time that I code Heather

Let's call $V_2$ , $x_2$ , $t_2$ at the speed, distance and time Danielle codes.

Observe the following diagram:

(x) Heather <------ $x_1$ --------- hospital ---------- $x_2$ -----------> Danielle (-x)

So:

$V_1 = 35\ km/h$

$t_1 = 4\ h$

$V_2 = 50\ km/h$

We know that after 4 hours the distance between Heather and Danielle was 290 km.

That is to say:

$x_2 + x_1 = 290\ km/h$

We know that $x_1= v_1t_1$

$x_1 = 35(4)$

$x_1 = 140\ km$

We already know $x_1$ , the distance from the hospital to Heather, so we can find $x_2$ and thus know $t_2$

So:

$x_2 = 290 - 140\\\\x_2 = 150\ km$

Then:

$t_2 = \frac{x_2}{v_2}\\\\t_2 = \frac{150}{50}\\\\t_2 = 3\ h$

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3 years ago

So a man goes to sleep at 8 am and wakes up on the following day and wakes up at 1 am. can you tell me what happened?

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Answer:

He was on an airplane.

Step-by-step explanation:

Hope I helped!

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3 years ago

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vlada-n [284]

Answer:

Step-by-step explanation:

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3 years ago

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-3(-4b - 7n) use n = 8 and b = 2 show works plsssssss

Lilit [14]

Answer:

192

Step-by-step explanation:

-3(-4(2) - 7(8))

= -3(-8 - 56)

= -3(-64)

= 192

*Negative x negative = positive

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3 years ago