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3 years ago

What is the simplest form of

Mathematics

1 answer:

marusya05 [52]3 years ago

7 0

Factor the numerator and factor the denominator.

$\frac{x^2 + 5x - 36}{x^2 - 16} = \frac{(x +9)(x - 4)}{(x + 4)(x - 4)} = \frac{x+9}{x+4}$

Then you divide the numerator and the denominator by the common factor to reduce the fraction.

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John has a piece of string that is 634 inches long, and Kerry has a piece of string that is 712

omeli [17]

Answer:

Step-by-step explanation:

Length of Kerry string = 7(½) = 15/2

Length of John string = 6(¾) = 27/4

15/2 - 27/4

30 - 27/4

3/4

4 0

2 years ago

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Lady_Fox [76]

Answer:.............................................................................................

Step-by-step explanation:

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5 0

3 years ago

A game system allows players to design a personal picture. Each picture is designed by choosing from male or female, 8 face shap

astra-53 [7]

Answer:

The number of possible pictures:

N = 2 x 8 x 48 x 12 x 24 x 82 = 18137088

Hope this helps!

6 0

2 years ago

In ΔJKL, l = 860 inches, j = 920 inches and ∠K=126°. Find ∠L, to the nearest degree.

fomenos

Answer:

Step-by-step explanation:

JKL= ABC, jkl=abc

1.) use law of sines to find k.

$c^{2} =a^{2} +b^{2} -2abCosC$

$c=\sqrt{920^{2} +860^{2} -2(920)(860)cos(126) } = 1586.225515$

2.) use law of cosines to find L

$\frac{a}{sinA} =\frac{b}{sinB} =\frac{c}{sinC}$

plug in for b and c: $\frac{860}{sinB} =\frac{1586.225515}{sin126}$

cross multiply: $\frac{1586.23sinB}{1586.23} =\frac{860sin126}{1586.23}$

$sinB= 0.4386227612\\B=sin^-1(0.4386227612)= 26.01604086\\$

L=26

5 0

2 years ago

Solve this system by substitution. y = 3 y = -3x + 6 *Remember to write your answer as a coordinate point (x, y). I

DochEvi [55]

Answer:

(1, 3)

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
Subtraction Property of Equality

Algebra I

Coordinates (x, y)
Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y = 3

y = -3x + 6

Step 2: Solve for x

Substitute in y: 3 = -3x + 6
[Subtraction Property of Equality] Subtract 6 on both sides: -3 = -3x
[Division Property of Equality] Divide -3 on both sides: 1 = x
Rewrite/Rearrange: x = 1

Step 3: Solve for y

Define original equation: y = -3(1) + 6
Multiply: y = -3 + 6
Add: y = 3

6 0

2 years ago