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salantis [7]
2 years ago
11

Select ALL the sets that are the three side lengths of right triangles.

Mathematics
1 answer:
Gre4nikov [31]2 years ago
8 0

Answer: It would be C and D

Step-by-step explanation:

By the phythagorean theorem, the 2 legs would equal to the hypothesize.

Choice A would not form a triangle.

Choice B does not follow the pythagorean theorem. 84 plus 16 does not equal 100.

Choice C does. 8 + 121 = 129.

Choice D does. 1 + 3 = 4.

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What polynomial identity should be used to prove that 35 = 8 + 27
Julli [10]

Answer:

Sum of cubes identity should be used to prove 35 =3+27

Step-by-step explanation:

Prove that : 35 = 8 +27

Polynomial identities are just equations that are true, but identities are particularly useful for showing the relationship between two apparently unrelated expressions.

Sum of the cubes identity:

a^3+b^3=(a+b)(a^2-ab+b^2)

Take RHS

8+ 27

We can write 8 as 2 \times 2 \times 2 = 2^3 and 27 as 3 \times 3 \times 3 = 3^3.

then;

8+27 = 2^3+3^3

Now, use the sum of cubes identity;

here a =2 and b = 3

2^3+3^3 = (2+3)(2^2-2\cdot 3+3^2)

or

2^3+3^3 = (5)(4-6+9) = 5 \cdot 7 = 35 = LHS    proved!

therefore, the Sum of cubes polynomial identity should be used to prove that 35 = 8 +27

4 0
3 years ago
Read 2 more answers
In J, K is the midpoint. The coordinates of ) are (2, 2), and the coordinates of Kare (10, 11). What are the coordinates of L?
DiKsa [7]

Answer:

L(18, 20)

Step-by-step explanation:

In JL, K is the midpoint. The coordinates of J are (2, 2), and the

coordinates of K are (10, 11). What are the coordinates of L?

Solution:

If O(x, y) is the midpoint between two points A(x_1,y_1) and B(x_2,y_2). The equation to determine the location of O is given by:

x=\frac{x_1+x_2}{2} \\\\y=\frac{y_1+y_2}{2}

Since JL is a line segment and K is the midpoint. Given the location of J as (2, 2) and K as (10, 11). Let (x_2,y_2) be the coordinate of L. Therefore:

10=\frac{2+x_2}{2} \\\\20=2+x_2\\\\x_2=18

11=\frac{2+y_2}{2} \\\\22=2+y_2\\\\y_2=20

Therefore L = (18, 20)

4 0
3 years ago
Your mother gave you $13.32 to buy a present. This covered 1/5 of the cost. How much did the present cost?
Nady [450]

Answer:

$66.60

Step-by-step explanation:

Step 1 so she gave you 13.32 and covers 1 fifth of the cost so you have to times 13.32 by 5 to get how much does the present cost so the total after I times 13.32 by5 equals $66.60

6 0
3 years ago
Math question:<br> solve for x.<br> -7.8(x + 6.5) = -25.74
BlackZzzverrR [31]
My calculator says bad expression.

7 0
3 years ago
Help plz i need it :(
mr_godi [17]

Answer:

B.

C.

D.

E.

Step-by-step explanation:

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