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3 years ago

Which property is shown here?

Mathematics

1 answer:

DerKrebs [107]3 years ago

6 0

The answer is the second one
( b )
Associate property of addition

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6.A = 23 × 3 × 5 B = 22 × 3 × 52

frez [133]

Given:

The two numbers are

$A=23\times 3\times 5$

$B=22\times 3\times 52$

To find:

The highest common factor (HCF) of A and B

Solution:

We have,

$A=23\times 3\times 5$ ...(i)

$B=22\times 3\times 52$

All the factors of A are prime but the factors of B are not prime. So, it can be written as

$B=2\times 11\times 3\times 13\times 2\times 2$ ...(ii)

From (i) and (ii), it is clear that 3 is the only common factor of A and B. So,

$HCF(A,B) = 3$

Therefore, the highest common factor (HCF) of A and B is 3.

6 0

3 years ago

On the number line about RT = 1/6. Point s ( not shown) is located between point r and point t. Which value is below is a possib

mojhsa [17]

Answer: you do the one

Step-by-step explanation:

Yeah

7 0

3 years ago

74y−8−78y=−4y−8 how many solutions

Vera_Pavlovna [14]

Answer:

there is an infinet amount of answers.

Step-by-step explanation:

4 0

3 years ago

Please help! Thanks in advance.

alukav5142 [94]

In this problem, we need to plug in the given x values for $f(x)=0$ and find a and b.

When we plug in 1, we get: $2 \times {1}^{4} - 5 \times {1}^{3} - 14 \times {1}^{2} + a \times 1 + b = 0$

Simplify:
$2 - 5 - 14 + a + b = 0$
$- 17 + a + b = 0$
$a + b = 17$

We got our first statement about the values of the variables. If we find one more we can find those 2 variables.

We have another given root: 4.

Plug it in:
$2 \times {4}^{4} - 5 \times {4}^{3} - 14 \times {4}^{2} + a \times 4 + b = 0$
$512 - 320 - 224 + 4a + b = 0$
$- 32 + 4a + b = 0$
$4a + b = 32$

Now we have our second one. We can combine them:
$a + b = 17 \\ 4a + b = 32$

I use elimination method which is easier here.

Multiply the top equation by -1: $- a - b = - 17 \\ 4a + b = 32$

Add them up:
$3a = 15$

Simplify:
$a = 5$

Now we have a, we can plug in one of those equations to find b:
$5 + b = 17$
$b = 17 - 5$
$b = 12$

So, the answers are $a=5$ and $b=12$ .