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kobusy [5.1K]
3 years ago
6

Verify (−25) x [15 + (−5)] = [(−25) x 15] + [(−25) x (−5)

Mathematics
1 answer:
KengaRu [80]3 years ago
7 0

Answer:

Take L.H.S and the R.H.S

Step-by-step explanation:

Taking L.H.S

-25*(15+(-5)

-25*(15-5)

-25*(10)

-250

Taking R.H.S

(-25*15)+(-25*(-5)

-375+125

-250

Verified

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Definition: A fraction a/b is reduced if a and b are relatively prime.
Mariulka [41]

Answer:

it is true

Step-by-step explanation:

We can demonstrate this by contradiction.

First choosing a random rational and assuming that exist two ways to represent this rational. Call that rational x, a, b and a', b ' the couples of relatively prime to express x.

Then we have

x=x\\\frac{a}{b}=\frac{a'}{b'}

Isolating a:

a=\frac{a'b}{b'}

a is an integer and a' is a relatively prime with b', for this reason b has to be a factor of b'. Suppose this factorization b'=nb, replacing it:

a=\frac{a'nb'}{b'}=a'n

But now we have that n is a factor of a and is a factor of b, it means that a and b are not relatively prime, that is a contradiction with our premises. The sentence is true.

And referring to the positive denominator. If we want to express a positive rational the denominator and numerator will be both positive and if is a negative one we choose a positive denominator and a negative numerator.

3 0
3 years ago
Can you please help me
olya-2409 [2.1K]

Answer:

Step-by-step explanation:

The answer is Choice (A)

to find the exact middle between the two points, we must find the midpoint in the x-direction and the y-direction.

In the x-direction, the middle of A and C is at (a+b)/2

In the y-direction, the middle of A and C is c/2

Hope that helps!

7 0
2 years ago
Find all the real solutions of x^3 – 2x^2 – 5x + 6 = 0.
Alex Ar [27]

Answer:

x=1 or x=-2 or x=3

Step-by-step explanation:

your answer is most likely one of the three

sorry if its incorrect :9

8 0
3 years ago
What is (5+3)(8-2) in standard complex number form
Tatiana [17]

Answer:

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Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
What are the x and y-intercepts of the line described by the equation? -6+3y=18.9
Y_Kistochka [10]

Given equation : -6x+3y=18.9.

We need to find x and y-intercepts.

<em>In order to find the x-intercept, we need to plug y=0 and solve the equation for x.</em>

Plugging x=0 in given equation, we get

-6(0)+3y=18.9

0 +3y = 18.9

3y = 18.9

Dividing both sides by 3, we get

y = 6.3

<em>In order to find the y-intercept, we need to plug x=0 and solve the equation for y.</em>

Plugging y=0 in given equation, we get

-6x+3(0)=18.9

-6x = 18.9

Dividing both sides by -6, we get

x = -3.15.

<h3>Therefore, x-intercept is -3.15 and y-intercept is 6.3.</h3>

We could write them as coordinates

<h3>x-intercept (-3.15, 0) </h3><h3>y-intercept (0, 6.3).</h3>
7 0
3 years ago
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