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3 years ago

What is the greatest common factor of the terms in the polynomial

Mathematics

1 answer:

ruslelena [56]3 years ago

7 0

Answer:

4x^2

Step-by-step explanation:

The greatest common factor is the greatest number that can divide the terms. The greatest number that can divide each term is 4, and the greatest power of x that can divide each term is x^2. This is because it can't be any number greater than 4 since that number would never be able to divide into 4. This is also the reason why x^2 is the greatest power possible. It cannot be greater than anything divisible by itself. Thus, you multiply 4 by x^2 and the answer is 4x^2.

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a square garden with a side of 150m has a square swimming pool in the very center with a side length of 25m calculate the area o

marta [7]

Answer: 21,875 sqm

Step-by-step explanation:

Step 1:

Find the gross area of the garden.

Square 150m = 22,500 sqm.

Step 2:

Find the area of the pool.

Square 25m = 625 sqm.

Step 3:

Subtract the area of the pool from the gross area of the garden

to find the net area of the garden.

22,500 - 625 = 21,875 sqm.

Warning:

Do not subtract the side length of the swimming pool from the side length

of the garden before squaring.

7 0

3 years ago

Select all ratios equivalent to 15:5. 9:3 6:2 3:1

natali 33 [55]

Answer:

All three.

Step-by-step explanation:

All three of these ratios are equivalent to 15:5. Here's how:

Let's look at the first ratio, 9:3. Did you notice something common? 3 x 3 = 9. 9/3 = 3. 5 x 3 = 15. 15/3 = 5. Both of these numbers are divisible by 3, so these ratios are equivalent.

Second. 6:2. 2 x 3 = 6. 6/3 = 2. 5 x 3 = 15. 15/3 = 5. See the similarity? The same applies to the next problem, number three, although it does slightly differentiate.

Third, 3:1. See, here, since the ratio is smaller than the problem, we can't multiply, since this ratio is smaller than the original number. But, it's still the same thing. A ratio is a number that compares a value to another value. This means that 3:1 is 3 compared to one. Now, let me clarify. 15:5. 3:1. These are the exact same values, except they are just written in a different form, and simplified. Since 5 x 3 = 15, we know that we can divide 15 evenly by 5, which makes it 3, and divide 5 evenly by 5, which equals one. So here we have our answer for the third problem. 5:1.

Ratios are basically division, except simplified. Every single ratio problem works this way. Once you get the hang of it, it's immensely easy. Hope this helped!

6 0

3 years ago

Using a dollar even though it has a tear is an example of which characteristic of money?*

Andreyy89

Answer:

Durability

Step-by-step explanation:

Durability in money is when objects used as money can withstand being worn out or torn. In this case, the bill is still used though it has a tear therefore it's an example of durability.

Hope it helps :)

4 0

3 years ago

Triangle ABC is reflected across the line y=2x to map onto triangle RST. Select all statements that are true.

Anettt [7]

The reflection transformation in the question is a rigid transformation,

therefore, the image and the preimage are congruent.

The statements that are true are;

AB = RS

∠ABC ~ ∠RST

ΔABC = ΔRST

m∠BAC = m∠SRT

Reasons:

The given parameter are;

Triangle ΔABC is reflected across the line 2·X, to map onto triangle ΔRST

Required:

To select the true statements

Solution:

A reflection is a rigid transformation, therefore, the distance between corresponding points on the image and the preimage are equal.

Therefore;

AB = RS

BC = ST

AC = RT

Given that the image formed by a reflection is congruent to the preimage, we have;

ΔABC ≅ ΔRST

∠ABC ≅ ∠RST

m∠ABC = m∠RST by the definition of congruency

∠BCA ≅ ∠STR

m∠BCA = m∠STR by the definition of congruency

∠BAC ≅ ∠SRT

m∠BAC = m∠SRT by the definition of congruency

Therefore, the true statements are;

AB = RS; Image formed by rigid transformation

∠ABC ~ ∠RST; Definition of similarity

ΔABC = ΔRST; By definition of congruency

m∠BAC = m∠SRT; by the definition of congruency

Learn more here:

brainly.com/question/11787764

7 0

3 years ago

The circumference of the inner circle is 66 ft. The distance between the inner circle and the outer circle is 44 ft. By how many

Ray Of Light [21]

Answer:

276 4/7 ft

Step-by-step explanation:

Let r1 represent the radius of the inner circle. Then its circumference in feet is ...

C = 2πr

66 = 2π(r1)

If the radius of the outer circle is (r1 +44), then its circumference is ...

C = 2π(r1 +44) = 2π(r1) +2π(44)

C = 66 +88π

Then the difference in the circumferences is ...

(66 +88π) - (66) = 88π

Using the given value of π, the difference in circumferences is ...

(88 ft)(22/7) = 1936/7 ft = 276 4/7 ft

6 0

3 years ago