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2 years ago

Explain why the terms of the polynomial y2 + 7 are said to be realitvley prime

Mathematics

1 answer:

DiKsa [7]2 years ago

8 0

Answer:

The terms of the polynomial are relatively prime because the highest integer that divides them both is 1.

Step-by-step explanation:

Two numbers are said to be relatively prime if their greatest common factor ( GCF ) is 1 .

Now, the expression we are given in the question is a polynomial;

y² + 7.

The terms of the polynomial y² + 7 are y² and 7 and have no common factor and in fact cannot be factorized further. Thus, these terms are said to be relatively prime because the highest integer that divides them both is 1.

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1)Sheyna drive to the lake and back. It took two hours less time to get there than it did to get back. The average speed on the

ipn [44]

Answer:

8 hours

Step-by-step explanation:

Given:

Sheyna drives to the lake with average speed of 60 mph and

$v_1 = 60\ mph$

Sheyna drives back from the lake with average speed of 36 mph

$v_2 = 36\ mph$

It took 2 hours less time to get there than it did to get back.

Let $t_1$ be the time taken to drive to lake.

Let $t_2$ be the time taken to drive back from lake.

$t_2-t_1 = 2$ hrs ..... (1)

To find:

Total time taken = ?

$t_1+t_2 = ?$

Solution:

Let D be the distance to lake.

Formula for time is given as:

$Time =\dfrac{Distance}{Speed }$

$t_1 = \dfrac{D}{60}\ hrs$

$t_2 = \dfrac{D}{36}\ hrs$

Putting in equation (1):

$\dfrac{D}{36}-\dfrac{D}{60} = 2\\\Rightarrow \dfrac{5D-3D}{180} = 2\\\Rightarrow \dfrac{2D}{180} = 2\\\Rightarrow D = 180\ miles$

So,

$t_1 = \dfrac{180}{60}\ hrs = 3 \ hrs$

$t_2 = \dfrac{180}{36}\ hrs = 5\ hrs$

So, the answer is:

$t_1+t_2 = \bold{8\ hrs}$

8 0

2 years ago

Beth is making a rope ladder.each step of the ladder is 2 1/3 feet wide.Beth has a rope that is 21 feet long.how many steps can

Marianna [84]

Answer:

Beth can make 9 2 1/3 foot steps

Step-by-step explanation:

21/2.3=9.1

round to 9

7 0

2 years ago

Read 2 more answers

Solve for 2/5 + 3/8= With two possible answeres

Pani-rosa [81]

You can change the denominators so they are alike. $\frac{16}{40} + \frac{15}{40} = \frac{31}{40}$
Not sure how there can be two possible answers unless you're mentioning the decimal form:
.775
Tell me if this helps!!

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2 years ago

A trapezoid has 62 feet base and 36.4 feet base, as well as 70 feet height. What is the area?

Morgarella [4.7K]

The area is 3444 ft, hope that helps :)

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2 years ago

Giving brainly if you do all :) very easy

NeX [460]

Answer:

Step-by-step explanation:

h. -1

i. 5

j. 11

k. -3

l. 1

Hope it helps.

8 0

1 year ago