What is 1+1 I already know it I'm just testing out this app

Find the midpoint of the segment with the following endpoints. (4, 2) and (7, 6)

Artist 52 [7]

The midpoint of the segment with the following endpoints, (4, 2) and
(7, 6) is (5.5, 4).

How to determine the midpoint of a given segment?
The center point of a straight line can be located using the midpoint formula. We can use this midpoint formula to determine the coordinates of the supplied line's midpoint in order to discover its location on a graph. Assuming that the line's endpoints are (x₁, y₁) and (x₂, y₂), the midpoint (a, b) is determined using the following formula:
(a , b) ≡ (((x₁ + x₂)/2), ((y₁ + y₂)/2))

Let the line segment be AB having endpoints as A(4, 2) and B(7, 6);
also let the co-ordinates of midpoint be C = (a, b)
Using the given formula in the available literature,
(a, b) = ((4 + 7)/2, (2 + 6)/2)
Equating parts of the previous equation, we get,
a = (4 + 7)/2 = 11/2 = 5.5
b = (2 + 6)/2 = 4
Thus, the midpoint of the segment is (5.5, 4).

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4 0

1 year ago

Water flows into a right cylindrical shaped swimming pool with a circular base at a rate of 4 m33/min. The radius of the base is

Sloan [31]

Answer:

The water level is rising at a rate of approximately 0.1415 meters per minute.

Step-by-step explanation:

Water is flowing into a right cylindrical-shaped swimming pool at a rate of 4 cubic meters per minute. The radius of the base is 3 meters.

And we want to determine the rate at which the water level of the pool is rising.

Recall that the volume of a cylinder is given by:

$\displaystyle V = \pi r^ 2h$

Since the radius is a constant 3 meters:

$\displaystyle V = 9\pi h$

Water is flowing at a rate of 4 cubic meters per minute. In other words, dV/dt = 4 m³ / min.

Take the derivative of both sides with respect to t:

$\displaystyle \frac{d}{dt}\left[ V\right] = \frac{d}{dt}\left[ 9\pi h\right]$

Implicitly differentiate:

$\displaystyle \frac{dV}{dt} = 9\pi \frac{dh}{dt}$

The rate at which the water level is rising is represented by dh/dt. Substitute and solve:

$\displaystyle \left(4 \right) = 9\pi \frac{dh}{dt}$

Therefore:

$\displaystyle \frac{dh}{dt} = \frac{4}{9\pi} \approx 0.1415\text{ m/min}$

In conclusion, the water level is rising at a rate of approximately 0.1415 meters per minute.

6 0

3 years ago

Tobias dropped a tennis ball from a height of 60 meters. The time in seconds it takes for the ball to fall 60 feet is 0.25(radic

AnnZ [28]

We are given

Tobias dropped a tennis ball from a height of 60 meters. The time in seconds it takes for the ball to fall 60 feet is 0.25(radical60).

so, time is

$T=0.25\sqrt{60} =\frac{1}{4} \sqrt{60}$

we have to approximate it's value

First approximation set:

we know that

$49$

we can take sqrt all the sides

$\sqrt{49}$

we can simplify it

$7$

Divide all sides by 4

$\frac{7}{4}< \frac{1}{4} \sqrt{60}$

Second approximation set:

$7.7$

Divide all sides by 4

$\frac{7.7}{4}$

$1.925$

Third approximation set:

$7.74$

Divide all sides by 4

$\frac{7.74}{4}$

$1.935$

so, we get

$t=1.94seconds$ ......Answer

7 0

3 years ago

a cylinder with base are 169π ft^2 and a height twice the radius. what is the lateral area and surface area of the cylinder

Morgarella [4.7K]

$Area\ of\ base:A_B=169\pi\ ft^2\\\\A_B=\pi r^2\ \ \ (r-radius)\\\\\pi r^2=169\pi\ \ \ /:\pi\\\\r^2=169\\\\r=\sqrt{169}\\\\r=13\ (ft)\\\\H=2r\to H=2\cdot13=26\ (ft)$

$
lateral\ area:A_L=2\pi rH\\\\A_L=2\pi\cdot13\cdot26=676\pi\ (ft^2)\\\\Surface\ area:A_S=2A_B+A_L\\\\A_S=2\cdot169\pi+676\pi=338\pi+676\pi=1014\pi\ (ft^2)$

5 0

3 years ago

Read 2 more answers

Peter picked 35 peppers more than Peyton and Pike picked 25 peppers more than Paxton. Peter and Peyton together picked 110 peppe

malfutka [58]

Answer:

peter picked 195 peppers

Step-by-step explanation:

x = peter : y = peyton : z = pike : a = paxton

peter picked 35 peppers more then peyton

x = y + 35

pike picked 25 peppers more then paxton

z = a + 25

peter and payton together picked 110 peppers more then pike and paxton picked together

(x + y) = (z + a) + 110

together they picked 600 peppers

x + y + z + a = 600

(x + y) = (z + a) + 110

(y + 35 + y) = (a + 25 + a) + 110

2y + 35 = 2a + 25 + 110

2y = 2a + 25 + 110 - 35

2y = 2a + 100

y = (2a + 100) /2

y = a + 50

x = y + 35

x = a + 50 + 35

x = a + 85

x + y + z + a = 600

(a + 85) + (a + 50) + (a + 25) + a = 600

4a + 160 = 600

4a = 600 - 160

4a = 440

a = 440/4

a = 110 <===== paxton picked 110 peppers

y = a + 50.....= 110 + 50 = 160 <====peyton picked 160 peppers

z = a + 25......= 110 + 25 = 135 <=====pike picked 135 apples

x = a + 85.....= 110 + 85 = 195 <====peter picked 195 peppers

check...

x + y + z + a = 600 (x + y) = (z + a) + 110

195 + 160 + 135 + 110 = 600 (195 + 160) = (135 + 110) + 110

600 = 600 (correct) 355 = 355(correct)

ur answer is : peter (x) picked 195 peppers

7 0

4 years ago