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Naily [24]
3 years ago
8

Use FOIL to multiply the binomials. (x+9)(x+1)

Mathematics
1 answer:
Scilla [17]3 years ago
5 0

Answer: Foil stands for FIRST OUTSIDE INSIDE LAST

(x +9)(x+1) = x^2 + 10x + 9

Step-by-step explanation:

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14kg 450gram - 20kg = 5kg 550gram
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Juan purchased an antique that had a value of \$200$200dollar sign, 200 at the time of purchase. Each year, the value of the ant
garri49 [273]

Answer:

<h2>The value of a is (\frac{11}{10} )^{222}.</h2>

Step-by-step explanation:

At the time of purchase, the value of the antique is $200.

After one year the value will increase 10%.

Hence, after one year, the value of the antique will be \frac{110}{100} \times200 = 220.

Similarly, after two year, the value will be 200\times (\frac{110}{100} )^{2}.

Thus, 222 years after purchase, the value of the antique will be 200\times (\frac{110}{100} )^{222} = 200\times (\frac{11}{10} )^{222}.

5 0
3 years ago
A tent forms an equilateral triangular prism, with both triangular faces exposed. each side of the triangular face has a length
Soloha48 [4]
Given:
Equilateral Triangular Prism
Each side of the triangular face has a length of 196cm
The tent is 250cm long

I have attached an image of the tent. Since the height of the tent is also the height of the triangle, I will solve for the height of the triangle using Pythagorean theorem.

I divided the equilateral triangle into 2 right triangle. The height then becomes the long leg of the triangle. The hypotenuse is 196cm and the short leg is 98cm, half of one side of the triangle.

a² + b² = c²
a² = c² - b²
a² = (196cm)² - (98cm)²
a² = 38,416cm² - 9,604cm²
a² = 28,812cm²
a = √28,812cm² 
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The height of the tent is 169.74 centimeters. 

6 0
3 years ago
3x^2(x^3-1)+2x^3(2x^2+2) <br> Whats the simplified answer?
ahrayia [7]

Answer:

\large\boxed{7x^5+4x^3-3x^2}

Step-by-step explanation:

3x^2(x^3-1)+2x^3(2x^2+2)\qquad\text{use the distributive property:}\ a(b+c)=ab+ac\\\\=(3x^2)(x^3)+(3x^2)(-1)+(2x^3)(2x^2)+(2x^3)(2)\qquad\text{use}\ a^na^m=a^{n+m}\\\\=3x^{2+3}-3x^2+4x^{3+2}+4x^3\\\\=3x^5-3x^2+4x^5+4x^3\qquad\text{combine like terms}\\\\=(3x^5+4x^5)-3x^2+4x^3\\\\=7x^5+4x^3-3x^2

4 0
3 years ago
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