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3 years ago

Simplify (5 +1)2 — (12 + 32) + 3

Mathematics

2 answers:

Papessa [141]3 years ago

8 0

Answer:29

Step-by-step explanation:

So 5+1 is 6 and 6x2 is 12. The minus gets distributed into the (12+32) which makes the both negative. So -12-32=-44. And -44+3 is -41. And 12-(-41 )is 29.

Alinara [238K]3 years ago

3 0

Step-by-step explanation:

=( 5 + 1 )2 - ( 12 + 32 ) + 3

=6 * 2 - 44 + 3

=12 - 44 + 3

= -29

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There are infinitely How many pairs of numbers of which the sum of their cube roots is zero give two of these pairs

ivanzaharov [21]

Answer:

Infinite pairs of numbers

1 and -1

8 and -8

Step-by-step explanation:

Let x³ and y³ be any two real numbers. If the sum of their cube roots is zero, then the following must be true:

$\sqrt[3]{x^3}+ \sqrt[3]{y^3}=0\\ \sqrt[3]{x^3}=- \sqrt[3]{y^3}\\x=-y$

Therefore, any pair of numbers with same absolute value but different signs fit the description, which means that there are infinite pairs of possible numbers.

Examples: 1 and -1; 8 and -8; 27 and -27.

8 0

3 years ago

There are two non congruent triangles where B=55 degrees a=15 and b=13. Find the measures of the angles of the triangle with the

liq [111]

Answer:

The side c needs to be 12.85 for the triangle to have greatest perimeter

Step-by-step explanation:

We are given;

b = 13

a = 15

Angle at b: B = 55°

Let's find side c.

Using the law of cosines,we have;

b² = a² + c² - 2ac•cos(B)

13² = 15² + c² - 2•15•c•cos(55)

169 = 225 + c² - 30c•cos(55)

c² - 30c•cos(55) + 225 - 169 = 0

c² - 30c•cos(55) + 56 = 0

c² - 30c•(0.5736) + 56 = 0

c² - 17.208c + 56 = 0

Using quadratic formula;

c = [-(-17.208) ± √((-17.208)² - (4•1•56)]/2(1)

c = [17.208 ± √(296.115 - 224)]/2

c = 8.604 ± 4.246

To have the greater perimeter, we need the larger value of c, thus we will use the positive sign and ignore the negative one ;

Thus,

c = 8.604 + 4.246 = 12.85

5 0

3 years ago

Can you help me with these questions???

lord [1]

3. 28 Quarters and 5 dimes.

3 0

3 years ago

How do I do this, I need to show work

kenny6666 [7]

Hello,

-2<1 ==> f(x)=3x²-1 =>f(-2)=3*(-2)²-1=3*4-1=12-1=11

3 0

3 years ago

The dual bar chart shows the hair colour of boys and girls in a year group. What fraction of the students are girls? Give your a

Tems11 [23]

Answer:

5/11

Step-by-step explanation:

Black= 22 b+17 g

Brown= 4 b +18 g

Blonde= 25 b+ 10 g

Red= 21 b+ 15 g

Total number= 22+17+4+18+25+10+21+15= 132

Number of girls= 17+18+10+15= 60

Girls are 60/132= 2 × 2 × 3 × 5/ 2 × 2 × 3 × 11= 5/11 of all students

7 0

3 years ago