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Andru [333]
3 years ago
7

3. Using the Pythagorean Theorem, find the length of a leg of a right triangle if the other leg 8ft long and the hypotenuse is 1

0ft long

Mathematics
2 answers:
Shtirlitz [24]3 years ago
6 0
A² + b² = c² ⇒
a² + 8² = 10² ⇒
a² = 10² - 8² ⇒
a² = 100 - 64⇒
a² = 36 ⇒
a = √36⇒
a = 6

the length of the leg is 6ft long
Kisachek [45]3 years ago
3 0

10 squared minus 8 squared.

=36

square root 36= 6

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Q(x)=x^3+ax^2+2b is divided by (x-3) and has a remainder of 4. Find the values of "a" and "b"​
Sati [7]

Answer:

Let p(x) = x3 + ax2 + bx +6

(x-2) is a factor of the polynomial x3 + ax2 + b x +6

p(2) = 0                                                                                      

p(2) = 23 + a.22 + b.2 +6 =8+4a+2b+6 =14+ 4a+ 2b = 0

7 +2 a +b = 0

b = - 7 -2a -(i)                                                                              

x3 + ax2 + bx +6 when divided by (x-3) leaves remainder 3.

p(3) = 3                                                                                      

p(3) = 33 + a.32 + b.3 +6= 27+9a +3b +6 =33+9a+3b = 3

11+3a +b =1 => 3a+b =-10 => b= -10-3a -(ii)                                    

Equating the value of b from (ii) and (i) , we have

(- 7 -2a) = (-10 - 3a)

a = -3                                                                                          

Substituting a = -3 in (i), we get

b = - 7 -2(-3) = -7 + 6 = -1

Thus the values of a and b are -3 and -1 respectively.

Step-by-step explanation:

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2 years ago
The word "less than" represent what operation?
bixtya [17]

Answer:

  • The term 'less than' is used to indicate the relationship between two values.
  • The term 'less than' symbolically represented as '<'.

Step-by-step explanation:

  • The term 'less than' is used to indicate the relationship between two values.

It expresses that one value will be lesser than the other.

The term 'less than' symbolically represented as '<'.

We can implement certain operations like comparing values, heights, and numbers.

For example, there are 3 pencils in one bag A, and 8 pencils in bag B.

When we compare the two, we can easily observe that bag A has fewer pencils than bag B.

Thus,

Pencils in Bag A       <         Pencils in Bag A

           3                     <                    8

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Simplify (write without the absolute value sign): |x−(−12)|, if x&lt;−12
VladimirAG [237]

Answer:

|x + 12|

Step-by-step explanation:

The question I took form you I assume looks like this...

|x - (-12)|

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This is the answer because you would multiply -1 by -12

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