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NNADVOKAT [17]
3 years ago
5

A rational number is defined as a number that can be expressed in the form p/q, where p and q are integers and (a) q = 0 (b) q =

1 (c) q ≠ 1 (d) q ≠ 0
Mathematics
1 answer:
NikAS [45]3 years ago
8 0

Answer:

your answer is (d) which is q is not equal to 0

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What is the approximate measure of the leg opposite of angle A???
creativ13 [48]

Answer:

8.7 cm

Step-by-step explanation:

take 60 degree as reference angle

using sin rule

sin 60=opposite/hypotenuse

\frac{\sqrt{3} }{2}=opposite/10

\frac{\sqrt{3} }{2} * 10=opposite

\sqrt{3} *5 = opposite

5\sqrt{3} =opposite

8.66=opposite

8.7 =opposite

4 0
3 years ago
150 is 40% of what number
AysviL [449]

Step-by-step explanation:

hope it helps youu.........

5 0
3 years ago
Use the elimination method to solve the system of equations. Choose the correct ordered pair. 
Zinaida [17]
<span>6x-3y=27 --> 3*(2x-y = 9)
3x-y=13 Doesn't factor</span>
5 0
3 years ago
Dada a função f(x) = ax + b e sabendo-se que f(3) = 5 e f(-2) = -5 calcule f(½)
d1i1m1o1n [39]

Answer:

f(1/2)=0

Step-by-step explanation:

Given this function:

f(x)=ax+b

We need to find the value of:

f(1/2)

This is really simple because the problem give us the following data:

f(3)=5\\\\and\\\\f(-2)=-5

Using this data we can write a 2x2 system of equations like this:

Let:

f(3)=5=a(3)+b\\\\\rightarrow3a+b=5\hspace{10}(1)

and

f(-2)=5=a(-2)+b\\\\\rightarrow-2a+b=-5\hspace{10}(2)

Our system will be:

3a+b=5\hspace{28}(1)\\-2a+b=-5\hspace{10}(2)

We can solve this system using different methods, however I will use elimination method because I believe it is really simple. So:

(1)-(2)\\\\5-(-5)=3a-(-2a)+b-b\\\\10=5a\\\\Solving\hspace{3}for\hspace{3}a\\\\a=\frac{10}{5} =2

Replacing a into (1)

3(2)+b=5\\\\6+b=5\\\\Solving\hspace{3}for\hspace{3}b\\\\b=5-6=-1

Now we found the values of a and b, our function is given by:

f(x)=2x-1

Let's verify it:

f(3)=2(3)-1=6-1=5

f(-2)=2(-2)-1=-4-1=-5

As you can see the function satisfies the data provided by the problem. So we can conclude that it is correct.

Finally, let's find f(x) for x=1/2 :

f(1/2)=2(\frac{1}{2} )-1=\frac{2}{2} -1=1-1=0

Hence:

f(1/2)=0

3 0
4 years ago
Charlie graphs the equation y= – 1 2 x+2 y= –12x+2 .   Select all statements about Charlie's graph that are true.   The graph is
Rufina [12.5K]
Y = -12x + 2

The graph is a straight line....true, it is linear
The line does not pass thru the origin (0,0).....true, it does not
The line passes thru the point (0,-2)...false, it does not
The y int of the line is 2......true, it is
7 0
3 years ago
Read 2 more answers
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