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MissTica
3 years ago
8

Rewrite without parentheses and simplify (y-5)^2

Mathematics
2 answers:
QveST [7]3 years ago
6 0
Answer:

y^2 - 10y + 25

Step-by-step explanation:

(y - 5)^2 =

(y - 5) • (y - 5)

Multiply y times y

y^2

Add 5 and 5

10

Multiply 5 and 5

25

Add these terms together

y^2 - 10y + 25

Eddi Din [679]3 years ago
4 0

Answer: (y - 5)² = y² - 10y + 25

Concept:

There are in total three general types of parentheses-squared method:

  • (a - b)² = a² - 2ab + b²
  • (a + b)² = a² +2ab + b²
  • (a - b) (a + b) = a² - b²

Solve:

Given = (y - 5)²

Apparently, the given expression accords with (a - b)², where [y] = [a] and [5] = [b].

(a - b)² = a² - 2ab + b²

(y - 5)² = y² - 2(y)(5) + 5² = y² - 10y + 25

Hope this helps!! :)

Please let me know if you have any questions

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Please help me!<br><br>What is the inverse of the function g(x)=-3(x+6)?<br><br>g^-1=<br><br>Thanks
Sav [38]

Answer:

g^-1(x)=  -(x/3) - 6

Step-by-step explanation:

3 0
3 years ago
This figure shows three identical spherical billiard balls of diameter 6 cm inside an equilateral triangular frame.
Alenkasestr [34]

Answer:

Perimeter = 18(1 + √3 ) cm

Step-by-step explanation:

The radius of each ball = 1/2 * 6 = 3 cm.

Lines drawn from the 2 points of contact for one billiard ball to the center of the ball are at right angles to the sides of the triangle ( Tangent/radius theorem).

If we now draw a line from the vertex of the big triangle to the center of the ball we get 2 right triangles, and they are 30-60-90 triangles.

If the adjacent side of a triangle  ( which is part of the side of the big triangle) = x:

tan 30 = 3 / x

x = 3 / tan 30

=  3 / 1/√3

=   3√3 cm.

There are 6 of these sides in the big triangle so their total length =

18√3 cm.

The three 'middle' sides joining 2 billiard balls  each have a length of  2 radii = 6 cms   ( as they form a rectangle with the radii of 2 billiard balls).

So the perimeter of the triangle = 18√3 + 3(6)

= 18(1 + √3 ) cm

I would have liked to transfer a diagram but I can't get to copy it to this site.

7 0
2 years ago
Marys Goal is to get 50,000 dollars. she got 5,000 from 5 days how many more days does it take for sherry to get 50,000 to achie
liubo4ka [24]

Answer:

50 days

Step-by-step explanation:

So she gets 5,000 for five days.  

Let's count up from 5 thousand until 50 thousand.

5,000

10,000

15,000

20,000

25,000

30,000

35,000

40,000

45,000

50,000

This means 5,000x10=50,000

10x5=50

4 0
4 years ago
Triangle ABC has perimeter 22cm
ASHA 777 [7]

9514 1404 393

Answer:

  not a right triangle

Step-by-step explanation:

The perimeter is 22, so we have ...

  AB +BC +CA = 22

  8 + 5 + CA = 22

  CA = 22 -13 = 9

If this is a right triangle, the sum of the squares of the short sides will be equal to the square of the long side.

  AB² +BC² = 8² +5² = 64 +25 = 89

This is not the same as ...

  CA² = 9² = 81

The triangle is not a right triangle.

_____

<em>Additional comment</em>

If you're familiar with a few Pythagorean triples, you know that a couple involving a side length 5 are (3, 4, 5) and (5, 12, 13). That is, (5, 8, 9) is NOT a Pythagorean triple, so you know immediately that those side lengths do not form a right triangle. (No calculation is necessary.)

6 0
3 years ago
Two numbers have a sum of 68 and a difference of 46
monitta

Answer:

57 and 11

Step-by-step explanation:

57+11=68

57-11=46

3 0
3 years ago
Read 2 more answers
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