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lukranit [14]
2 years ago
10

A rectangle has side measurements of 12 units and 8 units. What is the approximate measure of a diagonal that cuts through the r

ectangle?
Mathematics
1 answer:
Natali5045456 [20]2 years ago
3 0

Answer:

14.4

Step-by-step explanation:

pythagorean theorem

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Choose the correct option that explains what steps were followed to obtain the system of equations below
Dominik [7]

Answer:

option C is the correct answer

Step-by-step explanation:

System A:                                                  System B:

-x - 2y = 7    ........(1)                               -x - 2y = 7    .......(3)  

5x - 6y = -3  ........(2)                                  -16y= 32  ........(4)

Solution for system A: ( -3, -2)

For option A

Multiply the first equation by 3

3(- x - 2y) = 3(7)         ⇒     - 3x - 6y = 21 ........... (5)

Add equation 2 and 5

  5x - 6y = -3

<u> - 3x - 6y = 21</u>

  2x -12y = 18   ⇒  2( x - 6y ) = 2( 9 )    ⇒   x - 6y = 9

Option A is not equal to equation in system B so now we check option B.

 For option B

Multiply the first equation by -5

-5(- x - 2y) = -5(7)         ⇒    5x + 10y = -35 ........... (6)

Add equation 2 and 6

  5x - 6y = -3

<u>   5x + 10y = -35</u>

  10x + 4y = -38   ⇒   2( 5x + 2y ) = 2(-19)    ⇒  5x + 2y = -19

Option B is not equal to equation in system B so now we check option C.

For option C

Multiply the first equation by 5            

5(- x - 2y) = 5(7)         ⇒   - 5x - 10y = 35 ........... (7)

Add equation 2 and 7

  5x - 6y = -3

<u> - 5x - 10y = 35</u>

    0 - 16y = 32   ⇒   -16y = 32

Option C is equal to equation in system b so now we check if the solution to system B is same as system A.  

Solution to system B:

First, we find value of y from equation 4:

-16y = 32   ⇒    y = \frac{32}{-16}   ⇒    y = -2

Now, we put value of y in equation 3 to find value of x:

-x - 2y = 7  ⇒  -x - 2(-2) = 7   ⇒  -x + 4 = 7   ⇒  -x = 7 - 4  ⇒  -x = 3

multiply both sides by -1

-1 × (-x) = -1 × (3)       ⇒     x = -3

Solution of system B = (-3, -2)

Solution of system B is the same as system A, so option C is correct.

6 0
3 years ago
Read 2 more answers
What are the coordinate ofB'? after a translation of (x,y-6
stich3 [128]
You’re B’ coordinate would be (3,-2) the way I got this was x is zero so x would not move left nor right. The only way you would go is down because you have a negative six so you would move down 6 spaces
6 0
3 years ago
PLSS HELP IF YOU TURLY KNOW THISS
vredina [299]

Answer:

3

Step-by-step explanation:

8x-4=20

8x-4=20

   +4.  +4

8x=24

8.    8

x=3

6 0
2 years ago
Read 2 more answers
Please solve this problem, I have no idea with it
lord [1]

Answer:

(x-3)(x-6)

Step-by-step explanation:

Fill in g into f and simplify:

(x-2)²-5(x-2)+4 =

x² - 4x + 4 - 5x + 10 + 4 =

x² - 9x + 18 =

(x-3)(x-6)

4 0
3 years ago
How many times greater is the value of 4 in 547 than the value of the 4 and 84​
sesenic [268]

Answer:

10

Step-by-step explanation:

How many times greater is the value of 4 in 547 than the value of the 4 and 84​?

547: 500 + 40 + 7

5 is in the hundreds place

4 is in the tens place

7 is in the ones place

84: 80 + 4

8 is in the tens place

4 is in the ones place

The value of 4 in 547 is 10 times greater than the value of 4 in 84.

Since the 4 in 547 is in the tens place, while the 4 in 84 is in the ones place.

Also, 4 * 10 = 40

Hope this helps!

6 0
2 years ago
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