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eimsori [14]
3 years ago
15

What is the distance between point A and point B?

Mathematics
1 answer:
Tpy6a [65]3 years ago
8 0

Answer:

\sqrt{45}

Step-by-step explanation:

(5,9) and (2,3)

then by distance formula

d =  \sqrt{{(x1 - x2)}^{2} +  {(y1 - y2)}^{2} }

d²=3²+6²

d²=9+36

d²=45

d =  \sqrt{45 }

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JUST ANSWER PLEASE!!! QUICK
jeka57 [31]

Answer:

<u>Options 1 and 3</u>

Step-by-step explanation:

We should know that, the system of linear equations can be treated as matrices, i.e: we can modify or make any operations provide that we must apply the same operation for all terms of each equation.

Given:  the solution for the following system is (2,9)

Px + Qy = R  ⇒(1)

Tx + Uy = V  ⇒(2)

We will check which system of equation has the same solution.

<u>System A)</u>  Px + Qy = R

                  (P+T)x + (Q+U)y = R+V  ⇒(3)

So, By summing (1) and (2) we will get the equation (3)

So, system A has the same solution (2,9)

<u>System B)</u> Px + Qy = R

                 (P+2T)x + (Q+2U)y = R-2V  ⇒(4)

By multiplying equation (2) by 2 and add with equation (1), we will get:

 (P+2T)x + (Q+2U)y = R+2V

Which is not the same as equation (4)

So, system B has not the same solution (2,9)

<u>System C)</u> (T-P)x + (U-Q)y = V-R  ⇒(5)

                  Tx + Uy = V  

By multiplying equation (1) by -1 and add with equation (2), we will get the equation (5)

So, system C has the same solution of (2,9)

<u>System D)</u> (T-P)x + (Q+U)y = V-R  ⇒(6)

                  Tx + Uy = V  

We cannot get equation (6) by the same operation over equation (1)

Note the coefficient of x and y⇒ (T-P) and (Q+U)

They must be (T+P) and (Q+U) <u>OR </u>(T-P) and (Q-U)

So, system D has not the same solution of (2,9)

<u>System E)</u> (5T-P)x + (5U-Q)y = V-5R ⇒ (6)

                  Tx + Uy = V  

By subtract equation (1) from 5 times equation (2), we will get:

(5T-P)x + (5U-Q)y = 5V-R

Which is not the same as equation (6)

So, system E has not the same solution (2,9)

As a conclusion, the systems which have the same solution are:

<u>Options 1 and 3</u>

5 0
2 years ago
Please math help and please show work!
Galina-37 [17]
Since they are similar triangles, they are just enlarged versions of each other. This means that the left-most angle of triangle XYZ is also 35°.

Angles in a triangle add up to 180°, so we can find the missing angle by subtracting the two known angles from 180.

180 - 70 - 35 = 75
The right-most angle of triangle XYZ would be 75°.

Hope this helps!
6 0
3 years ago
toni bought an old bike for 50$. She fixed it up and sold it for $80. What percent of the original value was toni’s sale price
ikadub [295]
For this case what you must do is the following rule of three:
 50 ---> 100
 80 ----> x
 We clear x:
 x = (80/50) * (100)
 x = 160%
 160-100 = 60%
 Answer:
 toni added 60% of the original value for his sale price
3 0
3 years ago
3 moon + 1 star = 29 1 moon +1 moon = 15 Find value of 1 moon​
Montano1993 [528]

Hi!

I can help you with joy!

3 moons+1 star equals 29.

All right.

Actually, there are a few numbers that can be hidden behind the moon:

3*8=24 + 1 star (5) = 29

But 1 moon + 1 moon equals 15.

So one moon equals 7.5.

*GentleGirlie*

8 0
3 years ago
Guidelines for the amount of supplementary nitrogen needed to grow winter wheat depend on the amount of nitrogen in the soil​ (a
Ierofanga [76]

The net profit or income for case A and case B based on the information will be $9250 and $9500 respectively.

<h3>How to compute the net profit?</h3>

Case A:

Based on the information, the price of fertilizer will be:

= 0.25 × 100 × 50

= $1250

Price of wheat = 3.50 × 50 × 50

= $10500

Net profit = $10500 - $1250

= $9250

Case B:

Price of fertilizer will be:

= 0.50 × 70 × 50

= $1750

Price of wheat = 4.50 × 50 × 50

= $11250

Net profit = $11250 - $1750

= $9500

Therefore, the net profit or income for case A and case B based on the information will be $9250 and $9500 respectively.

Learn more about net income on:

brainly.com/question/15530787

#SPJ1

3 0
1 year ago
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