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skelet666 [1.2K]
3 years ago
5

And the last question is:

Mathematics
2 answers:
Leya [2.2K]3 years ago
6 0
It should be " b " That should be right but u may want to wait for others to respond to this to make sure
Len [333]3 years ago
3 0
I think it is B it cannot be the others!
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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
3 years ago
Mark is 15 years younger than Ashley. The sum of their ages is 55. Write a system of 2 equations to determine Mark (M) age and A
skelet666 [1.2K]
55=2a-15 or 55=a+(a-15)
6 0
3 years ago
How do you find the lateral surface area of a cylinder?
AlekseyPX
Right cylinderSolve for lateral surfaceAL=2πrh<span><span><span>rRadius</span><span>hHeight</span></span><span><span>h</span>
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3 0
3 years ago
A 25 foot ladder is leaning against a house. If the angle of Elevation of the ladder is 72 degrees:
coldgirl [10]

Answer:

1. 23.8

2. 7.7

Step-by-step explanation:

<u>for the first blank</u>

use sin because x is opposite and 25 is hypotenuse

set up an equation:

sin(72)= (x/25)

multiply both sides by 25:

25(sin(72))= (x/25)25

25(sin(72))= x

multiply 25 by sin(72):

23.8 = x

<u>for the second blank</u>

use cos because x is adjacent and 25 us hypotenuse

set up an equation:

cos(72)= (x/25)

multiply both sides by 25:

25(cos(72))= (x/25)25

25(cos(72))= x

multiply 25 by cos(72):

7.7= x

3 0
3 years ago
What is the length of side PQ?
Margaret [11]
64; Line pq is correspondent with line ab and triangle PQR is 4 time as big as triangle ABC.
4 0
3 years ago
Read 2 more answers
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