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3 years ago

What is the constant of proportionality of y/x

Mathematics

1 answer:

guapka [62]3 years ago

5 0

Answer:

y=5 x=4.5

Step-by-step explanation:

the scale is always skipping the half numbers and landing on the whole numbers so in that case

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What will be the new position of the given point (-6,8) after rotating 90° clockwise about the origin

aleksandrvk [35]

Answer:( 8, 6)

Step-by-step explanation:

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3 years ago

Simplify the expression by factoring, showing the steps in your work.

alexdok [17]

Given:

$$\frac{12 x^{2}+31 x+7}{16 x^{2}+8 x+1}$

To find:

The simplified expression by factoring.

Solution:

Let us factor the numerator:

$12 x^{2}+31 x+7$

31x can be written as 3x + 28x.

$=\left(12 x^{2}+3 x\right)+(28 x+7)$

Take 3x common in 1st two terms and 7 common in next two terms.

$=3 x(4 x+1)+7(4 x+1)$

Make sure the remaining terms in the both brackets must be same.

Now, take out common factor (4x + 1).

$=(4 x+1)(3 x+7)$

In the same way, factorize the denominator:

$16 x^{2}+8 x+1$

8x can be written as 4x + 4x.

$=(16 x^{2}+4 x)+(4x+1)$

Take 4x common in 1st two terms and 1 common in next two terms.

$=4x(4 x+1)+1(4x+1)$

Make sure the remaining terms in the both brackets must be same.

Now, take out common factor (4x + 1).

$=(4x+1)(4x+1)$

Substitute the terms we found for numerator and denominator:

$$\frac{12 x^{2}+31 x+7}{16 x^{2}+8 x+1}=\frac{(4 x+1)(3 x+7)}{(4 x+1)(4 x+1)}$

Cancel the common factors.

$$=\frac{3 x+7}{4 x+1}$

The simplified expression is $\frac{3 x+7}{4 x+1}$ .

3 0

4 years ago

A 6 mile walking trail has a distance marker every 1/3 mile.

Sati [7]

I don’t see a question but i assume you’re asking how many distance markers there are and in that case the answer is 18.

4 0

3 years ago

Read 2 more answers

What is the measure of angle H? (answer with the number not only the degree sign pls)

kirza4 [7]

Answer:

145 degrees

Step-by-step explanation:

Linear pairs. 180-35=145

3 0

2 years ago

Read 2 more answers

How many three-digit numbers can be written using digits from the set {2, 3,4, 5, 6} without repeating digits?

zlopas [31]

Answer:

I think you mean ‘repetition’ of digits is not allowed when you say ‘terrain' of digits is not allowed. If it is so, I will proceed further.

Three digit numbers have Hundreds place, Tens place and Units place. There are six digits, 1,2,3,4,5 and 6 are available. The Hundreds place can be filled up by any one of these 6 digits and can therefore be filled up in 6 ways. Since repetition of digits is not allowed we are left with 5 digits to fill up the Tens place. So Tens place can be filled up in 5 ways. Using the same argument we can fill up the Units digit in 4 ways. Hence we can form (6)(5)(4) = 120 numbers of three digits using the digits 1,2,3,4,5,6 without repetition.

Step-by-step explanation:

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3 years ago