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4 years ago

What is the product?

Mathematics

1 answer:

Anit [1.1K]4 years ago

7 0

The final answer will be a 3x3 matrix. So you'll have 3 rows and 3 columns.

Along row one, the values are: 10, 15, 20

Along row two, the values are: 45, -5, -35

Along row three, the values are: 55, 25, -15

all of which make up the final answer. Each value in bold is the result of multiplying the outer 5 by each value inside the original matrix given. In a sense, it's like using the distributive property, though we wont be adding any of the values (everything stays separated).

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What is the greatest common factor of x4 and x3 ?

Dmitry [639]

Answer:

The greatest common factor of x4 and x³ is x³

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3 years ago

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A sector with a central angle measure of 200 degrees has a radius of 9 cm. What is the area of the sector?

Sergio [31]

Answer:

$\boxed{Area\ of\ sector = 141.4\ cm^2}$

Step-by-step explanation:

Radius = r = 9 cm

Angle = θ = 200° = 3.5 radians

Now,

$Area \ of \ sector = \frac{1}{2} r^2 \theta$

Area = 1/2 (9)²(3.5)

Area = 1/2 (81)(3.5)

Area = 282.7 / 2

Area of sector = 141.4 cm²

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3 years ago

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If the area of a circle is 58 square feet, find the circumference

Blizzard [7]

Answer:

C≈27 feet

Step-by-step explanation:

A=πr²

A/π=r²

√A/π =r or –√A/π=r (refused)

then r =√(A/π) =√(58/π) =4.297829403 feet

C=2πr=2π(4.297829403)=27.00405856≈27 feet

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3 years ago

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Help please!!!Eric runs everyday.He delivers 189 papers in 3 hours.What is the unit rate his deliveries per hour?please put the

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Answer:

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3 years ago

Use FOIL to explain how to find the product of (a + b)(a − b). Then describe a shortcut that you could use to get this product w

andriy [413]

Greetings!

FOIL stands for:

Front
Outside
Inside
Last

This tells which terms to multiply when using the Distributive Property.
(NOTE: Only applicable with 2-term Polynomials)

For Example:
$(a+b)(a-b)$

Multiply the Fronts of both Equations:
$(a*a)$

Multiply the Outsides of both Equations:
$(a*a)+(a*-b)$

Multiply the Insides of both Equations:
$(a*a)+(a*-b)+(b*a)$

Multiply the Lasts of both Equations:
$(a*a)+(a*-b)+(b*a)+(b*-b)$

Simplify.
$=a^2-ab+ba-b^2$

$=a^2-b^2$

Alternative Method (My Prefered Method)
$(a+b)(a-b)=a(a+b)-b(a+b)$

Use Regular Distributive Property.
$a(a+b)-b(a+b)$

$a*a+a*b-b*a+-b*b$

Simplify.
$a^2+ab-ba+-b^2$

$a^2-b^2$

Hope this helps.
-Benjamin

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3 years ago

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