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lys-0071 [83]
3 years ago
13

Simplify: –3(y 2)2 – 5 6y

Mathematics
1 answer:
aleksandr82 [10.1K]3 years ago
8 0
The answer is -3y^4+6y-5
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Find the exact value of cos 157.5°.
Nonamiya [84]
Cos 157.5º=-cos (180º-157.5º)=-cos 22.5=-cos(45/2)

cos Ф/2=⁺₋√((1+cosФ)/2).

In this case 157.5º is in the second quadrant, therefore we use the following equation:
cos Ф/2=-√((1+cosФ)/2).          (we will have a negative number)

cos 157.5º=-cos (45/2)=-√((1+cos 45º)/2)
=-√((1+√2/2)/2)
=-√((2+√2)/4)
=-√(2+√2) / 2   (≈-0.92387...)

Answer: cos 157.5º= -√(2+√2) / 2

3 0
4 years ago
Kayden wants to ride his bicycle 29.5 miles this week. He has
geniusboy [140]

Answer: 5.5

Step-by-step explanation:

3m+13=29.5

3 0
3 years ago
Find the perimeter of the triangle with coordinates A(5,2), B(5,4), and C(1,1). Round to the nearest tenth.
faltersainse [42]

Answer:

11.1 units

Step-by-step explanation:

We solve for this using the formula when using coordinates (x1 , y1) and (x2, y2)

= √(x2 - x1)² + (y2 - y1)²

A(5,2), B(5,4), and C(1,1).

For AB = √(x2 - x1)² + (y2 - y1)²

= A(5,2), B(5,4)

= √(5 - 5)² +(4 - 2)²

= √ 0² + 2²

= √4

= 2 units

For BC = √(x2 - x1)² + (y2 - y1)²

= B(5,4), C(1,1)

= √(1 - 5)² +(1 - 4)²

= √ -4² + -3²

= √16 + 9

= √25

= 5 units

For AC = √(x2 - x1)² + (y2 - y1)²

A(5,2), C(1,1)

= √(1 - 5)² + (1 - 2)²

= √-4² + -1²

= √16 + 1

= √17

= 4.1231056256 units

The Formula for the Perimeter of Triangle = Side AB + Side BC + Side AC

= 2 units + 5 units + 4.1231056256 units

= 11.1231056256 units.

Approximately the Perimeter of a Triangle to the nearest tenth = 11.1units

4 0
3 years ago
Claire has $300 Is an account. She decides she is going to take out $25 each month.
Elena-2011 [213]
Recursive equation would be f(x+1) = f(x) - 25 with f(0) = 300

Explicit equation would be f(x) = -25x + 300

And graph would looks like this: 

5 0
3 years ago
Read 2 more answers
a box of crackers says that now it contains 15% more. Originally it came with 12 ounces of crackers. how many crackers does the
Verizon [17]

Answer:

It comes with 13.8 ounces of crackers now.

Step-by-step explanation:

12 + 15% = 13.8

6 0
3 years ago
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