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3 years ago

Which equation represents a line which is perpendicular to the y-axis?

Mathematics

1 answer:

erma4kov [3.2K]3 years ago

6 0

Answer:

y = 5

Step-by-step explanation:

The y-axis and any lines that are parallel to it are vertical. Therefore, a line that would be perpendicular to the y-axis would need to be horizontal. All horizontal lines have a slope equal to 0 and are represented by the equation y = a constant, or a single number with no variables.

The only option that follows that format is y = 5, thus that is the answer.

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Which are sums of perfect cubes? Check all that apply. 8x6 27 x9 1 81x3 16x6 x6 x3 27x9 x12 9x3 27x9.

Black_prince [1.1K]

The equations which are sums of perfect cubes are as follows;

$\rm 8x^6+27x^9+1$

$\rm x^6+x^3$

$\rm 27x^9+x^{12}$

<h3>Perfect cubes;</h3>

Perfect cubes are the numbers that are the triple product of the same number.

We have to determine

Which are sums of perfect cubes?

1. The given equation is $\rm 8x^6+27x^9+1$ .

The equation can be written as;

$\rm 8x^6+27x^9+1\\\\2^3(x^2)^3+3^3(x^3)^3+1^3$

All the terms in the expression are can be represented as perfect cubes.

2. The given equation is $\rm 81x^3+16x^6$ .

The equation can be written as;

$\rm 81x^3+16x^6\\\\9^2x^3+4^2(x^2)3$

In this, all the terms are not perfect cubes, some of them are squares.

3. The given equation is $\rm x^6+x^3$ .

The equation can be written as;

$\rm x^6+x^3\\\\(x^2)^3+x^3$

All the terms in the expression are perfect cubes.

4. The given equation is $\rm 27x^9+x^{12}$ .

The equation can be written as;

$\rm 27x^9+x^{12}\\\\3^3(x^3)^3+(x^4)^3$

All the terms in the expression are perfect cubes.

5. The given equation is $\rm 9x^3+27x^9$ .

The equation can be written as;

$\rm 9x^3+27x^9\\\\3^2x^3+3^3(x^3)^3$

In this, all the terms are not perfect cubes, some of them are squares too.

To know more about perfect cubes click the link given below.

brainly.com/question/4701925

5 0

2 years ago

Read 2 more answers

(-47) - 33 ÷ (-3) - 3 × (-7)

miss Akunina [59]

The answer is -37, Hope that helped!

7 0

3 years ago

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Last week,the price of apples at a grocery store was 1.60 per pound.This week,apples at the same grocery store are on sale for a

Degger [83]

Answer:

The total price of $4\frac{1}{2}$ pounds of apples is <u>$6.48</u>.

Step-by-step explanation:

Given:

Last week,the price of apples at a grocery store was 1.60 per pound.This week,apples at the same grocery store are on sale for a 10% discount.

Now, to find the total price of 4 1/2 pounds of apples this week at the grocery store.

The price of apples at a grocery store last week was = $1.60 per pound.

This week apples at the same grocery store is on sale of 10% discount.

Thus, the price of apples at a grocery store this week is:

$1.60-10\%\ of\ 1.60.$

$=1.60-\frac{10}{100} \times 1.60$

$=1.60-0.16$

$=\$1.44.$

So, the price of apples per pound this week is $1.44.

Now, to get the total price of $4\frac{1}{2}$ pounds of apples by using unitary method:

If 1 pound of apples cost = $1.44.$

Then, $\frac{9}{2}$ pound of apples cost = $1.44\times \frac{9}{2}$

$=1.44\times 4.5$

$=\$6.48.$

Therefore, the total price of $4\frac{1}{2}$ pounds of apples is $6.48.

4 0

3 years ago

Which of the following is the correct simplified form of 16/56?

Leya [2.2K]

Answer:

Step-by-step explanation:

2/7 I Hope i helped

3 0

3 years ago

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Need help with this please I am in math class

Tpy6a [65]

Answer:

256.8

Step-by-step explanation:

the tenths place is the first number after the decimal.

7 0

3 years ago