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3 years ago

If the measure of the base of a triangle is 3b+2 and the height is 4b,represent the area of the triangle

Mathematics

1 answer:

Naily [24]3 years ago

3 0

Answer:

6b^2 +4b

Step-by-step explanation:

The area of a triangle is

A = 1/2 bh

A = 1/2 * (3b+2) * (4b)

=1/2 (12 b^2 +8b)

= 6b^2 +4b

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Which statement about the simplified binomial expansion of (a + b)", where n is a positive integer, is true?

Alja [10]

Answer:

$(a+b)^n ={n \choose 0}a^{(n)}b^{(0)} + {n \choose 1}a^{(n-1)}b^{(1)} + {n \choose 2}a^{(n-2)}b^{(2)} + ..... +{n \choose n}a^{(0)}b^{(n)}$

Step-by-step explanation:

The Given question is INCOMPLETE as the statements are not provided.

Now, let us try and solve the given expression here:

The given expression is: $(a +b)^n, n > 0$

Now, the BINOMIAL EXPANSION is the expansion which describes the algebraic expansion of powers of a binomial.

Here, $(a+b)^n = \sum_{k=0}^{n}{n \choose k}a^{(n-k)}b^{(k)}$

or, on simplification, the terms of the expansion are:

$(a+b)^n ={n \choose 0}a^{(n)}b^{(0)} + {n \choose 1}a^{(n-1)}b^{(1)} + {n \choose 2}a^{(n-2)}b^{(2)} + ..... +{n \choose n}a^{(0)}b^{(n)}$

The above statement holds for each n > 0

Hence, the complete expansion for the given expression is given as above.

4 0

3 years ago

Read 2 more answers

If f'(x) = 12x^3 - 2x^2 - 17 and f(1) = 8 , find f(x).

Cloud [144]

Answer:

f(x) = 3x⁴ - $\frac{2X^{3} }{3}$ - 17x + $\frac{68}{3}$

Step-by-step explanation:

To find f'(x), we will follow the steps below:

We will start by integrating both-side of the equation

∫f'(x) = ∫(12x^3 - 2x^2 - 17)dx

f(x) = 3x⁴ - $\frac{2X^{3} }{3}$ - 17x + C

Then we go ahead and find C

f(1) = 8

so we will replace x by 1 in the above equation and solve for c

f(1) = 3(1)⁴ - $\frac{2(1)^{3} }{3}$ - 17(1) + C

8 = 3 - $\frac{2}{3}$ - 17 + C

C =8 - 3 + 17 + $\frac{2}{3}$

C = 22 + $\frac{2}{3}$

C = $\frac{66 + 2}{3}$

C = $\frac{68}{3}$

f(x) = 3x⁴ - $\frac{2X^{3} }{3}$ - 17x + $\frac{68}{3}$

7 0

3 years ago

What is the value of y so that the equation is true?

polet [3.4K]

Answer:

I guess that You made a mistake and You wanted to solve equations $\sqrt[2]{y}$ . Then the answer is D because There is no number that gives a negative number after the square root

Step-by-step explanation:

7 0

3 years ago

A. 0.27 and 0.50

defon

Answer:

Part 1

a. .27 < .50

b. .33 < .75

c. 4.60 > 3.89

d. .76 > .08

e. .09 < .11

f. 3.33 > 3.30

Part 2

.27(2)= .54

.50(1)= .50

.27(2)= .54 is larger than .50 because if it was money, .54 is greater than .50

Step-by-step explanation:

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3 years ago

Find the product. (x - 4)²

gulaghasi [49]

Answer:

x^2−8x+16

Step-by-step explanation:

5 0

3 years ago

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