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Arte-miy333 [17]
3 years ago
6

consider the rectangular prism shown. using only whole number dimensions, how many different prosms are possible?

Mathematics
1 answer:
Leviafan [203]3 years ago
4 0
I don’t understand. What are prosms?
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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
!!!URGENT!!!<br> WILL GIVE YOU BRAINLIEST!!!<br> 10 POINTS!!!<br> Solve 4x+9=4x+13
pickupchik [31]

Answer:

No solution

Step-by-step explanation:

4x+9=4x+13

9 ≠ 13

No solution

7 0
3 years ago
Read 2 more answers
Kylie can afford a $1310-per-month house loan payment. If she is being
Lesechka [4]

Answer:

The amount which she borrow as house loan is $ 48514.56

Step-by-step explanation:

Given as :

The house loan per month afford by Kylie = $1310

The period of loan = 25 Years

The annual rate compounded monthly = 8.4%

Principal  = $ P

∵ The per month loan afford amount = $1310

So, The amount afford in 25 years = $1310 × 25 × 12

Or, The amount afford in 25 years = $393,000

<u>Now, from compounded method</u> :

Amount = Principal × (1+\frac{Rate}{12\times 100})^{12\times Time}

Or, $393,000 = $ P × (1+\frac{8.4}{12\times 100})^{12\times 25}

Or, $393,000 = $ P × (1.007)^{300}

Or, $393,000 = $ P × \frac{393,000}{8.10066}

∴   P = $ 48514.56

Hence The amount which she borrow as house loan is $ 48514.56  Answer

8 0
3 years ago
The figure has ____ lines of symmetry. A. 0 B. 4 C. 6 D. 8
Olenka [21]
A.) <span>Scalene Triangle has no Lines of S</span>ymmetry 
B.) <span>A </span>Square<span> (4 sides) </span><span>has </span>4 Lines of Symmetry
C.) <span>A </span>Regular Hexagon<span> (6 sides) </span>has 6 Lines of Symmetry
D.) <span>A </span>Regular Octagon<span> (8 sides) </span><span>has </span>8 Lines of Symmetry
7 0
3 years ago
<img src="https://tex.z-dn.net/?f=Determine%20the%20unknown%20quantity.%20Show%20your%20work.8%201%2F2%20over%203%202%2F3%20%3D%
san4es73 [151]

um approximatly 0.34519202904

5 0
2 years ago
Read 2 more answers
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