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3 years ago

express each of the following as product of its prime factors, giving your answer in expanded form. a) 24. b) 63. c) 84. d) 150

1 answer:

3 0

To answer this question, you can use a factor tree, or the table thing (I forgot what it’s called.)
You divide the number by one of its PRIME factors, until there is only one left. The numbers you divided it by are written as shown.
Hope this helps. :)

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Plzz help!!!!!!! I 'll give brain liest

Basile [38]

Answer:

Step-by-step explanation:

1. 3x2 + 5x - 4 + 6x2 - x + 7

= combining like terms

= 9x2 + 4x + 3

2. 2y2 - 3y + 6 + y2 - 5y - 1 + (-4) + 2y2 - 2y

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3. 2x2y - 3xy2 + x2y - 4x2y - 2xy2

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3 years ago

Solve the following: 1 - .008 =

kykrilka [37]

Answer:

0.992

Step-by-step explanation:

do you not have a calculator

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3 years ago

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Analyze the diagram below and complete the instructions that follow.

valentinak56 [21]

Answer:

x = 6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtract Property of Equality

Algebra I

Terms/Coefficients/Degrees
Expand by FOIL (First Outside Inside Last)
Factoring
Multiple Roots

Trigonometry

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

a is a leg
b is another leg
c is the hypotenuse

Step-by-step explanation:

Step 1: Identify

a = x + 3

b = x

c = √117

Step 2: Solve for x

Substitute [PT]: (x + 3)² + x² = (√117)²
Expand [FOIL]: x² + 6x + 9 + x² = (√117)²
Combine like terms: 2x² + 6x + 9 = (√117)²
Exponents: 2x² + 6x + 9 = 117
[SPE] Subtract 117 on both sides: 2x² + 6x - 108 = 0
Factor out GCF: 2(x² + 3x - 54) = 0
[DPE] Divide 2 on both sides: x² + 3x - 54 = 0
Factor Quadratic: (x - 6)(x + 9) = 0
Solve roots/solve x: x = -9, 6

Since we are dealing with positive values, we can disregard the negative root.

∴ x = 6

4 0

3 years ago

Find sin theta if cot theta =-4 and cos theta < 0

asambeis [7]

Imagine the unit circle. The cot(theta) is a line from (0,1) to (-4,1). Imagine it is part of a triangle with the origin (draw it!).

Then the hypotenuse length is √(1+4²) = √17.

The sine rule says that sin(90)/√17 must equal sin(theta)/4, and sin(90)=1, so

$sin(\theta) = \frac4{\sqrt{17}}$

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3 years ago

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A rectangle has length (3x-8) and width (2x-7) cm .Write down and simplify an expression for the perimeter of the rectangle. So

tatuchka [14]

Answer:

The perimeter of the rectangle is equal to $(10x-30)\ cm$