Before adding or subtracting fractions, one must first get a common __________. A) Numerator B) Denominator C) Whole number D) Mixed number

Answers

Answer 1

Answer: Before adding or subtracting fractions, one must first get a common **B) Denominator.** Having a common denominator allows fractions to be combined accurately.

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In the diagram, point D divides line segment AB in the ratio of 5:3. If line segment AC is vertical and line segment CD is horizontal, what are the coordinates of point C?

Answers

Answer:

Step-by-step explanation:

(Plato) - Answer D: (2, -1)

Answer:

(2, -1)

Step-by-step explanation:

In a 30cm by 25cm rectangle, a quadrant of a circle of radius 7cm has been cut away from each corner. What is the perimeter of the part left? and also what is the area of the part left

Answers

Answer:

97.96 cm

596.14 cm²

Step-by-step explanation:

sides become:

30 cm ⇒ 16 cm
25 cm ⇒ 11 cm

and added corners:

4*2πr/4= 2πr = 2*3.14*7 cm= 43.96 cm

then perimeter is:

P= 2*16+2*11+43.96= 97.96 cm

the area left is:

A= 30*25- 4*1/4*3.14*7²= 596.14 cm²

Please solve equation
-3x2+243=0

Answers

Answer is 9.

-3x^2 + 243 = 0
Bring 243 to the right.
-3x^2 = -243
Divide by -3.
x^2 = 243/3 = 81
Tak the square root of both sides.
x = 81^1/2 = 9.

$-3x^2+243=0\n \n -3x^2=-243\n \n x^2=(-243)/(-3)\n \n x^2=81\n \n x=\pm√(81)\n \n \boxed{x=\pm9}$

(8 7/8 + 2 1/3 + 4 1/4) - (3 3/4 - 1 1/2)

Answers

Answer:

13 5/24

Step-by-step explanation:

Firstly, turn all mixed fractions into improper ones:

(8 7/8 + 2 1/3 + 4 1/4) - (3 3/4 - 1 1/2)

(71/8 + 7/3 + 17/4) - (15/4 - 3/2)

Now use GCF to find a denominator that suits all fractions:

8 : 8, 16, 24

3 : 3, 6, 9, 12, 15, 18, 21, 24

4 : 4, 8, 12, 16, 20, 24

The GCF of the first three fractions are 24. Simply add them all:

(213/24 + 56/24 + 102/24) - (15/4 - 3/2)

(371/24) - (15/4 - 3/2)

Now find the GCF of the remaining two fractions:

4 : 4

2 : 2, 4

The GCF of the last two fractions are 4, now add them all as well:

15/4 - 6/4

9/4

(371/24) - (6/4)

Now find the GCF:

24 : 24

4 : 4, 8, 12, 16, 20, 24

(371/24 - 36/24)

317/24

Now turn it into a mixed number:

13 5/24

Factor the left hand side of the equation into two or more factors 16x^4-121x^2=0

To the fourth power^4
Squared^2

Cimpletly lost help me figure this out please

Answers

  16x⁴ - 121x² = 0
  x²(16x²) - x²(121) = 0
  x²(16x² - 121) = 0
x²(16x² + 44x - 44x - 121) = 0
x²(4x(4x) + 4x(11) - 11(4x) - 11(11)) = 0
  x²(4x(4x + 11) - 11(4x + 11)) = 0
  x²(4x - 11)(4x + 11) = 0
  x² = 0 or 4x - 11 = 0 or 4x + 11 = 0
√(x²) = √(0) + 11 + 11 - 11 - 11
  x = 0   or   4x = 11    or    4x = -11
4 4 4 4
x = 2³/₄   or      x = -2³/₄

Solution Set: {0, ±2³/₄}

Simplify, using the correct order: 180 / (30 + 60) - 1