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Maslowich
3 years ago
12

Based on your knowledge of right triangles and the Pythagorean Theorem, which statement is correct?

Mathematics
2 answers:
snow_lady [41]3 years ago
5 0

The answer is "The empty square has a side length of 10 and an area of 100 square units"

Rudik [331]3 years ago
5 0

Answer:

The 3rd Answer: The empty square has a side length of 10 and an area of 100 square units.

Step-by-step explanation:

The pythagorean theorem states that for any right triangle ith legs a and b and a hypotenuse of c that: a^{2} +b^{2}=c^{2} therefore:

In the given right triangle if we apply this  and see that 6^{2}+8^{2}=10^{2}\\  meaning that the missing side must be 10. Because of this and the fact that the area of a square is A=s^{2} then A=100 and it is obvious that: The empty square has a side length of 10 and an area of 100 square units.

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Solve the system using substitution. Show all work
kramer

Answer:

x = -2 , y = 3

Step-by-step explanation:

Solve the following system:

{4 x + 5 y = 7

y = 3 x + 9

Hint: | Perform a substitution.

Substitute y = 3 x + 9 into the first equation:

{4 x + 5 (3 x + 9) = 7

y = 3 x + 9

Hint: | Expand the left hand side of the equation 4 x + 5 (3 x + 9) = 7.

4 x + 5 (3 x + 9) = (15 x + 45) + 4 x = 19 x + 45:

{19 x + 45 = 7

y = 3 x + 9

Hint: | Choose an equation and a variable to solve for.

In the first equation, look to solve for x:

{19 x + 45 = 7

y = 3 x + 9

Hint: | Isolate terms with x to the left hand side.

Subtract 45 from both sides:

{19 x = -38

y = 3 x + 9

Hint: | Solve for x.

Divide both sides by 19:

{x = -2

y = 3 x + 9

Hint: | Perform a back substitution.

Substitute x = -2 into the second equation:

Answer:  {x = -2 , y = 3

6 0
3 years ago
37/8 as a mixed number
Alexxandr [17]
4 5/8
you see how many time 8 goes into 37 which is 4 and then you have 5 left over
8 0
3 years ago
(6x – 5) – x=3 =2(x + 1)​
Dmitry_Shevchenko [17]

Answer:

5/7 = x

Step-by-step explanation:

(6x – 5) – x=3 =2(x + 1)​ (distribute them)

6x + 10 - 15x = 3 - 2x  + 2

-9x + 10 = 5 - 2x

10 - 5 = -2x + 9x

5 = 7

5/7 = x

7 0
4 years ago
What is 71.2×0.58 = ?
Elden [556K]

Answer: 41.296

Step-by-step explanation:

Simply type 71.2*0.58 into a calculator for the answer.  If you want to know how to multiply with decimals, just comment and I'll explain.

Hope it helps <3

7 0
4 years ago
Read 2 more answers
#4: Solve the quadratic equation below by completing the square. Select
Snowcat [4.5K]

Answer:

x = - 13, x = - 3

Step-by-step explanation:

Given

x² + 16x = - 39

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(8)x + 64 = - 39 + 64

(x + 8)² = 25 ( take the square root of both sides )

x + 8 = ± \sqrt{25} = ± 5 ( subtract 8 from both sides )

x = - 8 ± 5, thus

x = - 8 - 5 = - 13 or x = - 8 + 5 = - 3

4 0
3 years ago
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