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Anna71 [15]
3 years ago
5

Quadrilateral ABCD is graphed on a coordinate plane. Three of its vertices are at A (2.6), Point B(6,8), and Point C(8,4). Which

of the following
additional statements is sufficient to prove that quadrilateral ABCD is a square?

Mathematics
1 answer:
r-ruslan [8.4K]3 years ago
5 0

What was the correct answer?

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How do you know a radical expression is in simplest form?
Diano4ka-milaya [45]
Answer: To know whether a radical expression is in simplest form or not you should put the numbers and letters inside the radical in terms of prime factors. Then, the radical expression is in the simplest form if all the numbers and letters inside the radical are prime factors with a power less than the index of the radical

Explanation:

Any prime factor raised to a power greater than the index of the root can be simplified and any factor raised to a power less than the index of the root cannot be simplified

For example simplify the following radical in its simplest form:


\sqrt[5]{3645 a^8b^7c^3}

1) Factor 3645 in its prime factors: 3645 = 3^6 * 5

2) Since the powr of 3 is 6, and  6 can be divided by the index of the root, 5, you can simplify in this way:

- 6 ÷ 5 = 1 with reminder 1, so 3^1 leaves the radical and 3^1 stays in the radical

3) since the factor 5 has power 1 it can not leave the radical

4) the power of a is 8, then:

8 ÷ 5 = 1 with reminder 3 => a^1 leaves the radical and a^3 stays inside the radical.

5) the power of b is 7, then:

7 ÷ 5 = 1 with reminder 2 => b^1 leaves the radical and b^2 stays inside the radical

6) the power of c is 3. Since 3 is less than 5 (the index of the radical) c^3 stays inside the radical.

7) the expression simplified to its simplest form is

3ab \sqrt[5]{3.5.a^3b^2c^3}

And you know it cannot be further simplified because all the numbers and letters inside the radical are prime factors with a power less than the index of the radical.
7 0
3 years ago
Read 2 more answers
When an integer is subtracted from 5 times the next consecutive integer, the difference is 17. Find the value of the greater int
Mars2501 [29]

Answer:

4

Step-by-step explanation:

5(x + 1) -x = 17  Distribute the 5

5x + 5 - x = 17 Combine like terms

4x + 5 = 17  Subtract 5 from both sides

4x = 12  Divide both sides by 4

x = 3  

Three is the smaller integer and 4 is the greater integer.

5 0
1 year ago
Smith chose the underlined words for a reason. What
lbvjy [14]

Answer:

She wanted to persuade others that women should not ride bicycle

8 0
3 years ago
Read 2 more answers
I need help bbbbbbbb​
Sav [38]
Answer: 180cm


Explanation:

The area of a triangle is 1/2(b)(h).
The height of the triangles is 12cm and the base is 6cm.

1/2(6)(12) = 36cm
Multiply by 4 = 144


For square: 6 • 6 = 36cm


144cm + 36cm = 180cm
8 0
3 years ago
An education center offers a total of 400 math, physics and
mihalych1998 [28]

Answer: 30

Step-by-step explanation:

3+4+3=10 400/10=40 so each has 40 so math has 120 120*25=3000 for physics is 4*40 so 160 160*20=3200 9800-3000-3200=3600 3*40=120 3600/120=30

3 0
3 years ago
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