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3 years ago

A point has coordinates (0, 3). Where is it located in the coordinate plane?

Mathematics

1 answer:

igomit [66]3 years ago

7 0

Answer:

Option B y-axis

Step-by-step explanation:

we have the point (0,3)

The x-coordinate of the point is 0

The y-coordinate of the point is 3

Remember that

All points with x-coordinate equal to zero belong to the y-axis and all points with y-coordinate equal to zero belong to the x-axis

therefore

The point is located in the y-axis

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rock is thrown upward with a velocity of 27 meters per second from the top of a 23 meter high cliff and it misses the cliff on t

ahrayia [7]

the rock will be at 11 meters from the ground level after 5.92 seconds

Step-by-step explanation:

The motion of the rock is a free-fall motion, since the rock is acted upon the force of gravity only. Therefore, it is a uniformly accelerated motion, so its position at time t is given by the equation:

$y=h+ut+\frac{1}{2}at^2$

where

h = 23 m is the initial height

u = 27 m/s is the initial velocity, upward

$a=g=-9.8 m/s^2$ is the acceleration of gravity, downward

t is the time

We want to find the time t at which the position of the rock is

y = 11 m

Substituting and re-arranging the equation, we find

$11=23+27t-4.9t^2\\4.9t^2-27t-12=0$

This is a second-order equation, which has solutions:

$t=\frac{27\pm \sqrt{(-27)^2-4(4.9)(-12)}}{2(4.9)}=\frac{27\pm \sqrt{964.2}}{9.8}$

$t_1 = -0.41 s$

$t_2=5.92 s$

The first solution is negative so we neglect it: therefore, the rock will be at 11 meters from the ground level after 5.92 seconds.

Learn more about free fall:

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8 0

3 years ago

Is X-13=x+1 true or false

Black_prince [1.1K]

Answer: FALSE.

Step-by-step explanation:

Given the following equation provided in the exercise:

$x-13=x+1$

You need to solve for the variable "x".

In order to solve for "x" you can folllow the steps shown below:

1. You must apply the Addition property of equality and add 13 to both sides of the equation. Then:

$x-13+(13)=x+1+(13)\\\\x=x+14$

2. Finally you need to apply the Subtraction property of equality and subtract "x" from both sides of the equation. So you get:

$x-(x)=x+14-(x)\\\\0=14\ (FALSE)$

Therefore, as you can observe, the given equation has no solutions.

3 0

3 years ago

Solve this equation<br><br><br> -3(6 + 6b) + 4 = -104

yulyashka [42]

Answer:

b = 5.

Step-by-step explanation:

-3(6 + 6b) + 4 = -104

-18 - 18b + 4 = -104

-18b = -104 + 18 - 4

-18b = -90

b = -90 / -18

b = 5.

5 0

3 years ago

Helppppppppppppppp plsssssssssss

mel-nik [20]

Answer:

y=5/1 - 3

Step-by-step explanation:

use rise over run

8 0

2 years ago

In ΔRST, ∠R = 85° and ∠S = 52°. Find ∠T.

fenix001 [56]

Answer:

43°

Step-by-step explanation:

A triangle has a total angle of 180° and we can use it to find the answer.

The attachment is a visualization of the triangle.

In order to find angle T, we can use the triangle formula to find t.

${180}^{o} = r + s + t$

By substituting r and s, we will get

${180}^{o} = {85}^{o} + {52}^{o} + t$

Hence, we can find T, which is

$t = {180}^{o} - {85}^{o} - {52}^{o} = {43}^{o}$

4 0

2 years ago