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oee [108]
3 years ago
14

Can someone help me find the missing x and the 2 Pythagorean’s triples

Mathematics
1 answer:
fgiga [73]3 years ago
4 0

Answer:

Below in BOLD.

Step-by-step explanation:

1.  x^2 = 3^2 + 6^2

x^2 = 9 + 36 = 45

x = √45

x = 3√5.

2. 15^2 = x^2 + 12^2

x^2 = 15^2 - 12^2 = 225 - 144 = 81

x = 9.  

9, 10 and 15 are Pythagorean triplets.

3.  x^2 = 10^2 - 6^2 = 64

x = 8.

6, 8 and 10 are Pythagorean triplets.

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The height of a triangle is 7 cm longer than its base.
katrin [286]
A) Height -7 = base
B) .5 * height * base = 60
Substituting A into B
B) .5 * height * (height -7) = 60
B)  .5*height^2  -3.5*height = 60
B)  .5*height^2 -3.5*height -60 = 0
Using the quadratic formula:
Height = 15
Subtracting 7 gives us the base length
Base = 8
**************************************************************
Double-Check
.5 * 15 * 8 = 60


6 0
3 years ago
What is the distributive property of 12*12
NikAS [45]
144.

distributive property distributed a number outside of a parenthesis inside, i.e. x(12•12).

considering there is no given parenthesis, the answer is simply 144.
4 0
3 years ago
1 Select the correct answer. Multiply the binomials: (3x + 4)(5x - 2) A.15x2 + 20x-8b. 15x2 + 14x-8 c. 15x2- 14x-8 D. 15x2+ 14x8
leonid [27]

Multiply the binomials:



(3x + 4)(5x - 2)

\begin{gathered} =3x(5x\text{ - 2) + 4(5x - 2)} \\ =15x^2\text{ - 6x + 20x - 8} \\ =15x^2\text{ + 14x - 8} \end{gathered}

Final answer

Option B is the final answer

3 0
1 year ago
Convert to scientific notation: 0.0509.
fomenos

Answer:

5.09 × 10^-2

Step-by-step explanation:

You have to take the number go to the decimal and move it until you get to the first number and in this case, it is 5 put the decimal there. To write it you have to count the number of times you moved the decimal. when doing this it will always be a number times 10^ the number you moved the decimal.

5 0
3 years ago
When Dominic commutes to work, the amount of time it takes him to arrive is
bonufazy [111]

Answer:71

Step-by-step explanation:

6 0
3 years ago
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