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3 years ago

Graph a line that contains the point (4, 3) and has a slope of 1/2

Mathematics

1 answer:

Lapatulllka [165]3 years ago

3 0

Answer:

y=1/2x+1

Step-by-step explanation:

one dot on the 1 on the y axis

then more one unit up and two units to the left

and then from the first point (0,1) go one unit down

and two to the right. then make the line with the three points

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Is (x+4)^2equivalent to 2x^2+8x+8

Mashcka [7]

Answer:

$(x+4)^{2} = x^{2}+8x+16$

Step-by-step explanation:

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2 years ago

How long did it take to reach the bottom of the slope

mafiozo [28]

To solve this we are going to use the kinematic equation for final velocity: $V_{f}=V_{i}+at$
where
$V_{f}$ is the final velocity
$V_{i}$ is the initial velocity
$a$ is the acceleration
$t$ is the time

We know for our problem that the the velocity at the beginning of the slope is $2.0ms^{-1}$ , so $V_{i}=2.0$ . We also know that the speed ad the bottom of the slope is $20ms^{-1}$ , so $V_{f}=20$ . We also know that the acceleration is $6ms^{-2}$ , so $a=6$ . Lets replace those values in our formula and solve for $t$ :
$V_{f}=V_{i}+at$
$20=2+6t$
$6t=18$
$t= \frac{18}{3}$
$t=3$ seconds

We can conclude that it takes the roller coaster 3 seconds to reach the bottom of the slope.

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3 years ago

Tutoria

fiasKO [112]

Answer:

See below

Step-by-step explanation:

Maximum weight with no extra fee = 50 pounds

Current weight = 30.5 pounds

<u>Required inequality:</u>

30.5 + x ≤ 50

<u>Solve it:</u>

x ≤ 50 - 30.5
x ≤ 19.5

Clara can pack extra 19.5 pounds without extra fee

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2 years ago

Alexus [3.1K]

Please give more detail

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3 years ago

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Alex

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3 years ago

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