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2 years ago

Can anyone help me with this?

Mathematics

1 answer:

Serga [27]2 years ago

4 0

I don't understand ur hand writing sorry

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Two points in the Cartesian plane are A(2.00 m, −4.00 m) and B(−3.00 m, 3.00 m). Find the distance between them and their polar

Brrunno [24]

The distance between the two points is $d=8.6m$

The polar coordinate of A is $\left(4.47,296.57\right)$

The polar coordinate of B is $\left(4.24,135\right)$

Explanation:

The two points are $A(2,-4)$ and $B(-3,3)$

The distance between two points is given by,

$d=\sqrt{(2+3)^{2}+(-4-3)^{2}}\\d=\sqrt{(5)^{2}+(-7)^{2}}\\d=\sqrt{25+49}\\d=8.6$

Thus, the distance between the two points is $d=8.6m$

The polar coordinates of A can be written as $(Distance, tan^{-1} \frac{y}{x} )$

Distance = $\sqrt{x^{2} +y^{2} }$

Substituting $A(2,-4)$ , we get,

Distance = $\sqrt{2^{2} +(-4)^{2} }=\sqrt{4+16 }=4.47$

$tan^{-1} \frac{y}{x} =tan^{-1} \frac{-4}{2}=-63.43$

To make the angle positive, let us add 360,

$\theta=360-63.43=296.57$

The polar coordinate of A is $\left(4.47,296.57\right)$

Similarly, The polar coordinate of B can be written as $(Distance, tan^{-1} \frac{y}{x} )$

Distance = $\sqrt{x^{2} +y^{2} }$

Substituting $B(-3,3)$ , we get,

Distance = $\sqrt{(3)^{2}+(3)^{2}}=4.24$

$tan^{-1} \frac{y}{x} =tan^{-1} \frac{3}{-3}=-45$

To make the angle positive, let us add 360,

$\theta=180-45=135^{\circ}$

The polar coordinate of B is $\left(4.24,135\right)$

5 0

2 years ago

Please help me!!!!!!!!!!!!!!!

ycow [4]

Answer:

7) (f+g)(x) = 4^x +5x -5

8) (f-g)(x) = 4^x +x +5

Step-by-step explanation:

7) add the two expressions.

(f+g)(x) = f(x) +g(x) = (4^x +3x) +(2x -5)

(f+g)(x) = 4^x +5x -5

8) subtract g(x) from f(x).

(f-g)(x) = f(x) -g(x) = (4^x +3x) -(2x -5) = 4^x +3x -2x +5

(f-g)(x) = 4^x +x +5

7 0

2 years ago

In the middle school debate club, 30% of the members are in sixth grade. If there are 12 graders in the club, how many total mem

Slav-nsk [51]

The answer is D because you just multiply the percent times 40 to get 12.

6 0

2 years ago

Read 2 more answers

The perimeter of a rectangle is 12cm the area is 5cm square what is the length of the sides

Helen [10]

Answer:

???

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

i know this is probably simple but ive forgotten how to do it and i cant find it in my notes help appreciated!

Ronch [10]

Answer:

This is pythagoras

A squared plus b squared equals c squared.

The unknown side is c as its the hypotenuse,

So the length of the first side is 6.4 this squared = 40.96

The other length is 12 as 6 is the radius so the diameter of the circle amd therfore the length of the triangle is 12.

12 squared is 144

144 + 40.96 = 184.96

The length of c squared is 184.96

To find the length of c alone we calculate the square root.

The square root of 184.96 = 13.6

? = 13.6

8 0

1 year ago