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3 years ago

Can someone please help me with this question about given two points?Please help ASAP!!! :(

Mathematics

1 answer:

KonstantinChe [14]3 years ago

6 0

Answer:

<em>The order of subtraction is not important in any of the coordinates</em>

Step-by-step explanation:

Distance Between Two Points

Given two points (x1,y2) (x2,y2), the distance between them is given by the formula

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

The difference between both coordinates is squared, then added, and finally extracted the square root.

Based on the principle that

$a*a=a^2$

and also

$(-a)(-a)=a^2$

We can notice it doesn't matter the sign of a the square of a is always positive. If we had subtracted in the opposite way, the distance would have resulted in exactly the same. In other words, the above formula is exactly the same as

$d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$

As seen, it applies for both coordinates

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Thomas’s mileage is 35 miles

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3 years ago

The complement of an acute angle is an obtuse angle. <br><br> A.) True<br><br> B.) False

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3 years ago

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Two children, Ferdinand and Isabella, are playing with a water hose on a sunny summer day. Isabella is holding the hose in her h

wolverine [178]

Answer:

f = 0.84 or 84%

Step-by-step explanation:

Given:

- Original constant velocity of water v_o = 3.5 m/s

- The original diameter of the hose opening d_o = 1.5 cm

- The total vertical distance y(f) = 1.0 m

- The total range x(f) = 10.0 m

Find:

What fraction of the original area does Isabella has to reduce or pinch so the water can cover the entire range.

Solution:

- We will assume the flow of water as a stream of particles that follow a path of single point.

- Using second kinematic equation in the vertical direction and compute the time it takes the water to reach the ground:

y(t) = y(0) + v_y*t + 0.5*gt^2

Where, y(0) = v_y = 0,

1.0 = 0.5*g*t^2

t = sqrt ( 2*1 / 9.81 )

t = 0.4515 s

- Now we will use the second equation of motion for the x- direction motion:

x(t) = x(0) + v_x*t

Where, x(0) = 0,

10 = 0 + v_x*(0.4515)

v_x = 10 / 0.4515 = 22.1 m/s

- We have calculated the minimum velocity required to reach the range from isabella and ferdinand.

- We will use the continuity equation to compute the area required for the velocity calculated v_x = 22.1 m/s:

A_f*v_x = A_o*v_o

A_f = A_o*v_o / v_x

A_f = pi*0.015^2*3.5 / 4*22.1

A_f = 1.12 * 10^-4 m^2

- The fraction f of the reduction of area is:

f = (A_o - A_f) / A_o

f = (7.068*10^-8 - 1.12*10^-4) / (7.068*10^-8)

f = 0.84 or 84%

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3 years ago

Slove the equation <br> ×+20=29

photoshop1234 [79]

Answer: x = 9

Step-by-step explanation:

x + 20 = 29

x = 9

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4 years ago

You want to buy a trampoline. You found one online that has a circumference of 6.28 yards. What is the area?

gizmo_the_mogwai [7]

The area of the trampoline is mathematically given as

a = 3.14

Question Parameters:

You found one online that has a circumference of 6.28 yards

Generally, the equation for the Circumference is mathematically given as

C = 2*pi*r

Thererfore

6.28 = 2*3.14*r

r = (6.28)/(6.28)

r = 1

In conclusion, where radius is

$a= pi*r^2$

a = 3.14*1^2

a = 3.14